problem solving is an example of using

50 Problem-Solving and Critical Thinking Examples

Critical thinking and problem solving are essential skills for success in the 21st century. Critical thinking is the ability to analyze information, evaluate evidence, and draw logical conclusions. Problem solving is the ability to apply critical thinking to find effective solutions to various challenges. Both skills require creativity, curiosity, and persistence. Developing critical thinking and problem solving skills can help students improve their academic performance, enhance their career prospects, and become more informed and engaged citizens.

Sanju Pradeepa

In today’s complex and fast-paced world, the ability to think critically and solve problems effectively has become a vital skill for success in all areas of life. Whether it’s navigating professional challenges, making sound decisions, or finding innovative solutions, critical thinking and problem-solving are key to overcoming obstacles and achieving desired outcomes. In this blog post, we will explore problem-solving and critical thinking examples.

Table of Contents

Developing the skills needed for critical thinking and problem solving.

It is not enough to simply recognize an issue; we must use the right tools and techniques to address it. To do this, we must learn how to define and identify the problem or task at hand, gather relevant information from reliable sources, analyze and compare data to draw conclusions, make logical connections between different ideas, generate a solution or action plan, and make a recommendation.

The first step in developing these skills is understanding what the problem or task is that needs to be addressed. This requires careful consideration of all available information in order to form an accurate picture of what needs to be done. Once the issue has been identified, gathering reliable sources of data can help further your understanding of it. Sources could include interviews with customers or stakeholders, surveys, industry reports, and analysis of customer feedback.

After collecting relevant information from reliable sources, it’s important to analyze and compare the data in order to draw meaningful conclusions about the situation at hand. This helps us better understand our options for addressing an issue by providing context for decision-making. Once you have analyzed the data you collected, making logical connections between different ideas can help you form a more complete picture of the situation and inform your potential solutions.

Once you have analyzed your options for addressing an issue based on all available data points, it’s time to generate a solution or action plan that takes into account considerations such as cost-effectiveness and feasibility. It’s also important to consider the risk factors associated with any proposed solutions in order to ensure that they are responsible before moving forward with implementation. Finally, once all the analysis has been completed, it is time to make a recommendation based on your findings, which should take into account any objectives set out by stakeholders at the beginning of this process as well as any other pertinent factors discovered throughout the analysis stage.

By following these steps carefully when faced with complex issues, one can effectively use critical thinking and problem-solving skills in order to achieve desired outcomes more efficiently than would otherwise be possible without them, while also taking responsibility for decisions made along the way.

What Does Critical Thinking Involve: 5 Essential Skill

Problem-solving and critical thinking examples.

Problem-solving and critical thinking are key skills that are highly valued in any professional setting. These skills enable individuals to analyze complex situations, make informed decisions, and find innovative solutions. Here, we present 25 examples of problem-solving and critical thinking. problem-solving scenarios to help you cultivate and enhance these skills.

Ethical dilemma: A company faces a situation where a client asks for a product that does not meet quality standards. The team must decide how to address the client’s request without compromising the company’s credibility or values.

Brainstorming session: A team needs to come up with new ideas for a marketing campaign targeting a specific demographic. Through an organized brainstorming session, they explore various approaches and analyze their potential impact.

Troubleshooting technical issues : An IT professional receives a ticket indicating a network outage. They analyze the issue, assess potential causes (hardware, software, or connectivity), and solve the problem efficiently.

Negotiation : During contract negotiations, representatives from two companies must find common ground to strike a mutually beneficial agreement, considering the needs and limitations of both parties.

Project management: A project manager identifies potential risks and develops contingency plans to address unforeseen obstacles, ensuring the project stays on track.

Decision-making under pressure: In a high-stakes situation, a medical professional must make a critical decision regarding a patient’s treatment, weighing all available information and considering potential risks.

Conflict resolution: A team encounters conflicts due to differing opinions or approaches. The team leader facilitates a discussion to reach a consensus while considering everyone’s perspectives.

Data analysis: A data scientist is presented with a large dataset and is tasked with extracting valuable insights. They apply analytical techniques to identify trends, correlations, and patterns that can inform decision-making.

Customer service: A customer service representative encounters a challenging customer complaint and must employ active listening and problem-solving skills to address the issue and provide a satisfactory resolution.

Market research : A business seeks to expand into a new market. They conduct thorough market research, analyzing consumer behavior, competitor strategies, and economic factors to make informed market-entry decisions.

Creative problem-solvin g: An engineer faces a design challenge and must think outside the box to come up with a unique and innovative solution that meets project requirements.

Change management: During a company-wide transition, managers must effectively communicate the change, address employees’ concerns, and facilitate a smooth transition process.

Crisis management: When a company faces a public relations crisis, effective critical thinking is necessary to analyze the situation, develop a response strategy, and minimize potential damage to the company’s reputation.

Cost optimization : A financial analyst identifies areas where expenses can be reduced while maintaining operational efficiency, presenting recommendations for cost savings.

Time management : An employee has multiple deadlines to meet. They assess the priority of each task, develop a plan, and allocate time accordingly to achieve optimal productivity.

Quality control: A production manager detects an increase in product defects and investigates the root causes, implementing corrective actions to enhance product quality.

Strategic planning: An executive team engages in strategic planning to define long-term goals, assess market trends, and identify growth opportunities.

Cross-functional collaboration: Multiple teams with different areas of expertise must collaborate to develop a comprehensive solution, combining their knowledge and skills.

Training and development : A manager identifies skill gaps in their team and designs training programs to enhance critical thinking, problem-solving, and decision-making abilities.

Risk assessment : A risk management professional evaluates potential risks associated with a new business venture, weighing their potential impact and developing strategies to mitigate them.

Continuous improvement: An operations manager analyzes existing processes, identifies inefficiencies, and introduces improvements to enhance productivity and customer satisfaction.

Customer needs analysis: A product development team conducts extensive research to understand customer needs and preferences, ensuring that the resulting product meets those requirements.

Crisis decision-making: A team dealing with a crisis must think quickly, assess the situation, and make timely decisions with limited information.

Marketing campaign analysis : A marketing team evaluates the success of a recent campaign, analyzing key performance indicators to understand its impact on sales and customer engagement.

Constructive feedback: A supervisor provides feedback to an employee, highlighting areas for improvement and offering constructive suggestions for growth.

Conflict resolution in a team project: Team members engaged in a project have conflicting ideas on the approach. They must engage in open dialogue, actively listen to each other’s perspectives, and reach a compromise that aligns with the project’s goals.

Crisis response in a natural disaster: Emergency responders must think critically and swiftly in responding to a natural disaster, coordinating rescue efforts, allocating resources effectively, and prioritizing the needs of affected individuals.

Product innovation : A product development team conducts market research, studies consumer trends, and uses critical thinking to create innovative products that address unmet customer needs.

Supply chain optimization: A logistics manager analyzes the supply chain to identify areas for efficiency improvement, such as reducing transportation costs, improving inventory management, or streamlining order fulfillment processes.

Business strategy formulation: A business executive assesses market dynamics, the competitive landscape, and internal capabilities to develop a robust business strategy that ensures sustainable growth and competitiveness.

Crisis communication: In the face of a public relations crisis, an organization’s spokesperson must think critically to develop and deliver a transparent, authentic, and effective communication strategy to rebuild trust and manage reputation.

Social problem-solving: A group of volunteers addresses a specific social issue, such as poverty or homelessness, by critically examining its root causes, collaborating with stakeholders, and implementing sustainable solutions for the affected population.

Problem-Solving Mindset: How to Achieve It (15 Ways)

Risk assessment in investment decision-making: An investment analyst evaluates various investment opportunities, conducting risk assessments based on market trends, financial indicators, and potential regulatory changes to make informed investment recommendations.

Environmental sustainability: An environmental scientist analyzes the impact of industrial processes on the environment, develops strategies to mitigate risks, and promotes sustainable practices within organizations and communities.

Adaptation to technological advancements : In a rapidly evolving technological landscape, professionals need critical thinking skills to adapt to new tools, software, and systems, ensuring they can effectively leverage these advancements to enhance productivity and efficiency.

Productivity improvement: An operations manager leverages critical thinking to identify productivity bottlenecks within a workflow and implement process improvements to optimize resource utilization, minimize waste, and increase overall efficiency.

Cost-benefit analysis: An organization considering a major investment or expansion opportunity conducts a thorough cost-benefit analysis, weighing potential costs against expected benefits to make an informed decision.

Human resources management : HR professionals utilize critical thinking to assess job applicants, identify skill gaps within the organization, and design training and development programs to enhance the workforce’s capabilities.

Root cause analysis: In response to a recurring problem or inefficiency, professionals apply critical thinking to identify the root cause of the issue, develop remedial actions, and prevent future occurrences.

Leadership development: Aspiring leaders undergo critical thinking exercises to enhance their decision-making abilities, develop strategic thinking skills, and foster a culture of innovation within their teams.

Brand positioning : Marketers conduct comprehensive market research and consumer behavior analysis to strategically position a brand, differentiating it from competitors and appealing to target audiences effectively.

Resource allocation: Non-profit organizations distribute limited resources efficiently, critically evaluating project proposals, considering social impact, and allocating resources to initiatives that align with their mission.

Innovating in a mature market: A company operating in a mature market seeks to innovate to maintain a competitive edge. They cultivate critical thinking skills to identify gaps, anticipate changing customer needs, and develop new strategies, products, or services accordingly.

Analyzing financial statements : Financial analysts critically assess financial statements, analyze key performance indicators, and derive insights to support financial decision-making, such as investment evaluations or budget planning.

Crisis intervention : Mental health professionals employ critical thinking and problem-solving to assess crises faced by individuals or communities, develop intervention plans, and provide support during challenging times.

Data privacy and cybersecurity : IT professionals critically evaluate existing cybersecurity measures, identify vulnerabilities, and develop strategies to protect sensitive data from threats, ensuring compliance with privacy regulations.

Process improvement : Professionals in manufacturing or service industries critically evaluate existing processes, identify inefficiencies, and implement improvements to optimize efficiency, quality, and customer satisfaction.

Multi-channel marketing strategy : Marketers employ critical thinking to design and execute effective marketing campaigns across various channels such as social media, web, print, and television, ensuring a cohesive brand experience for customers.

Peer review: Researchers critically analyze and review the work of their peers, providing constructive feedback and ensuring the accuracy, validity, and reliability of scientific studies.

Project coordination : A project manager must coordinate multiple teams and resources to ensure seamless collaboration, identify potential bottlenecks, and find solutions to keep the project on schedule.  

These examples highlight the various contexts in which problem-solving and critical-thinking skills are necessary for success. By understanding and practicing these skills, individuals can enhance their ability to navigate challenges and make sound decisions in both personal and professional endeavors.

Conclusion:

Critical thinking and problem-solving are indispensable skills that empower individuals to overcome challenges, make sound decisions, and find innovative solutions. By honing these skills, one can navigate through the complexities of modern life and achieve success in both personal and professional endeavors. Embrace the power of critical thinking and problem-solving, and unlock the door to endless possibilities and growth.

• Problem solving From Wikipedia, the free encyclopedia
• Critical thinking From Wikipedia, the free encyclopedia
• The Importance of Critical Thinking and Problem Solving Skills for Students (5 Minutes)

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26 Expert-Backed Problem Solving Examples – Interview Answers

Published: February 13, 2023

Interview Questions and Answers

Actionable advice from real experts:

Biron Clark

Former Recruiter

Contributor

Dr. Kyle Elliott

Career Coach

Hayley Jukes

Editor-in-Chief

Biron Clark , Former Recruiter

Kyle Elliott , Career Coach

Hayley Jukes , Editor

As a recruiter , I know employers like to hire people who can solve problems and work well under pressure.

 A job rarely goes 100% according to plan, so hiring managers are more likely to hire you if you seem like you can handle unexpected challenges while staying calm and logical.

But how do they measure this?

Hiring managers will ask you interview questions about your problem-solving skills, and they might also look for examples of problem-solving on your resume and cover letter. 

In this article, I’m going to share a list of problem-solving examples and sample interview answers to questions like, “Give an example of a time you used logic to solve a problem?” and “Describe a time when you had to solve a problem without managerial input. How did you handle it, and what was the result?”

• Problem-solving involves identifying, prioritizing, analyzing, and solving problems using a variety of skills like critical thinking, creativity, decision making, and communication.
• Describe the Situation, Task, Action, and Result ( STAR method ) when discussing your problem-solving experiences.
• Tailor your interview answer with the specific skills and qualifications outlined in the job description.
• Provide numerical data or metrics to demonstrate the tangible impact of your problem-solving efforts.

What are Problem Solving Skills? 

Problem-solving is the ability to identify a problem, prioritize based on gravity and urgency, analyze the root cause, gather relevant information, develop and evaluate viable solutions, decide on the most effective and logical solution, and plan and execute implementation. 

Problem-solving encompasses other skills that can be showcased in an interview response and your resume. Problem-solving skills examples include:

• Critical thinking
• Analytical skills
• Decision making
• Research skills
• Technical skills
• Communication skills
• Adaptability and flexibility

Why is Problem Solving Important in the Workplace?

Problem-solving is essential in the workplace because it directly impacts productivity and efficiency. Whenever you encounter a problem, tackling it head-on prevents minor issues from escalating into bigger ones that could disrupt the entire workflow. 

Beyond maintaining smooth operations, your ability to solve problems fosters innovation. It encourages you to think creatively, finding better ways to achieve goals, which keeps the business competitive and pushes the boundaries of what you can achieve. 

Effective problem-solving also contributes to a healthier work environment; it reduces stress by providing clear strategies for overcoming obstacles and builds confidence within teams. 

Examples of Problem-Solving in the Workplace

• Correcting a mistake at work, whether it was made by you or someone else
• Overcoming a delay at work through problem solving and communication
• Resolving an issue with a difficult or upset customer
• Overcoming issues related to a limited budget, and still delivering good work through the use of creative problem solving
• Overcoming a scheduling/staffing shortage in the department to still deliver excellent work
• Troubleshooting and resolving technical issues
• Handling and resolving a conflict with a coworker
• Solving any problems related to money, customer billing, accounting and bookkeeping, etc.
• Taking initiative when another team member overlooked or missed something important
• Taking initiative to meet with your superior to discuss a problem before it became potentially worse
• Solving a safety issue at work or reporting the issue to those who could solve it
• Using problem solving abilities to reduce/eliminate a company expense
• Finding a way to make the company more profitable through new service or product offerings, new pricing ideas, promotion and sale ideas, etc.
• Changing how a process, team, or task is organized to make it more efficient
• Using creative thinking to come up with a solution that the company hasn’t used before
• Performing research to collect data and information to find a new solution to a problem
• Boosting a company or team’s performance by improving some aspect of communication among employees
• Finding a new piece of data that can guide a company’s decisions or strategy better in a certain area

Problem-Solving Examples for Recent Grads/Entry-Level Job Seekers

• Coordinating work between team members in a class project
• Reassigning a missing team member’s work to other group members in a class project
• Adjusting your workflow on a project to accommodate a tight deadline
• Speaking to your professor to get help when you were struggling or unsure about a project
• Asking classmates, peers, or professors for help in an area of struggle
• Talking to your academic advisor to brainstorm solutions to a problem you were facing
• Researching solutions to an academic problem online, via Google or other methods
• Using problem solving and creative thinking to obtain an internship or other work opportunity during school after struggling at first

How To Answer “Tell Us About a Problem You Solved”

When you answer interview questions about problem-solving scenarios, or if you decide to demonstrate your problem-solving skills in a cover letter (which is a good idea any time the job description mentions problem-solving as a necessary skill), I recommend using the STAR method.

STAR stands for:

It’s a simple way of walking the listener or reader through the story in a way that will make sense to them. 

Start by briefly describing the general situation and the task at hand. After this, describe the course of action you chose and why. Ideally, show that you evaluated all the information you could given the time you had, and made a decision based on logic and fact. Finally, describe the positive result you achieved.

Note: Our sample answers below are structured following the STAR formula. Be sure to check them out!

EXPERT ADVICE

Dr. Kyle Elliott , MPA, CHES Tech & Interview Career Coach caffeinatedkyle.com

How can I communicate complex problem-solving experiences clearly and succinctly?

Before answering any interview question, it’s important to understand why the interviewer is asking the question in the first place.

When it comes to questions about your complex problem-solving experiences, for example, the interviewer likely wants to know about your leadership acumen, collaboration abilities, and communication skills, not the problem itself.

Therefore, your answer should be focused on highlighting how you excelled in each of these areas, not diving into the weeds of the problem itself, which is a common mistake less-experienced interviewees often make.

Tailoring Your Answer Based on the Skills Mentioned in the Job Description

As a recruiter, one of the top tips I can give you when responding to the prompt “Tell us about a problem you solved,” is to tailor your answer to the specific skills and qualifications outlined in the job description. 

Once you’ve pinpointed the skills and key competencies the employer is seeking, craft your response to highlight experiences where you successfully utilized or developed those particular abilities. 

For instance, if the job requires strong leadership skills, focus on a problem-solving scenario where you took charge and effectively guided a team toward resolution. 

By aligning your answer with the desired skills outlined in the job description, you demonstrate your suitability for the role and show the employer that you understand their needs.

Amanda Augustine expands on this by saying:

“Showcase the specific skills you used to solve the problem. Did it require critical thinking, analytical abilities, or strong collaboration? Highlight the relevant skills the employer is seeking.”  

Interview Answers to “Tell Me About a Time You Solved a Problem”

Now, let’s look at some sample interview answers to, “Give me an example of a time you used logic to solve a problem,” or “Tell me about a time you solved a problem,” since you’re likely to hear different versions of this interview question in all sorts of industries.

The example interview responses are structured using the STAR method and are categorized into the top 5 key problem-solving skills recruiters look for in a candidate.

1. Analytical Thinking

Situation: In my previous role as a data analyst , our team encountered a significant drop in website traffic.

Task: I was tasked with identifying the root cause of the decrease.

Action: I conducted a thorough analysis of website metrics, including traffic sources, user demographics, and page performance. Through my analysis, I discovered a technical issue with our website’s loading speed, causing users to bounce. 

Result: By optimizing server response time, compressing images, and minimizing redirects, we saw a 20% increase in traffic within two weeks.

2. Critical Thinking

Situation: During a project deadline crunch, our team encountered a major technical issue that threatened to derail our progress.

Task: My task was to assess the situation and devise a solution quickly.

Action: I immediately convened a meeting with the team to brainstorm potential solutions. Instead of panicking, I encouraged everyone to think outside the box and consider unconventional approaches. We analyzed the problem from different angles and weighed the pros and cons of each solution.

Result: By devising a workaround solution, we were able to meet the project deadline, avoiding potential delays that could have cost the company $100,000 in penalties for missing contractual obligations.

3. Decision Making

Situation: As a project manager , I was faced with a dilemma when two key team members had conflicting opinions on the project direction.

Task: My task was to make a decisive choice that would align with the project goals and maintain team cohesion.

Action: I scheduled a meeting with both team members to understand their perspectives in detail. I listened actively, asked probing questions, and encouraged open dialogue. After carefully weighing the pros and cons of each approach, I made a decision that incorporated elements from both viewpoints.

Result: The decision I made not only resolved the immediate conflict but also led to a stronger sense of collaboration within the team. By valuing input from all team members and making a well-informed decision, we were able to achieve our project objectives efficiently.

4. Communication (Teamwork)

Situation: During a cross-functional project, miscommunication between departments was causing delays and misunderstandings.

Task: My task was to improve communication channels and foster better teamwork among team members.

Action: I initiated regular cross-departmental meetings to ensure that everyone was on the same page regarding project goals and timelines. I also implemented a centralized communication platform where team members could share updates, ask questions, and collaborate more effectively.

Result: Streamlining workflows and improving communication channels led to a 30% reduction in project completion time, saving the company $25,000 in operational costs.

5. Persistence 

Situation: During a challenging sales quarter, I encountered numerous rejections and setbacks while trying to close a major client deal.

Task: My task was to persistently pursue the client and overcome obstacles to secure the deal.

Action: I maintained regular communication with the client, addressing their concerns and demonstrating the value proposition of our product. Despite facing multiple rejections, I remained persistent and resilient, adjusting my approach based on feedback and market dynamics.

Result: After months of perseverance, I successfully closed the deal with the client. By closing the major client deal, I exceeded quarterly sales targets by 25%, resulting in a revenue increase of $250,000 for the company.

Tips to Improve Your Problem-Solving Skills

Throughout your career, being able to showcase and effectively communicate your problem-solving skills gives you more leverage in achieving better jobs and earning more money .

So to improve your problem-solving skills, I recommend always analyzing a problem and situation before acting.

 When discussing problem-solving with employers, you never want to sound like you rush or make impulsive decisions. They want to see fact-based or data-based decisions when you solve problems.

Don’t just say you’re good at solving problems. Show it with specifics. How much did you boost efficiency? Did you save the company money? Adding numbers can really make your achievements stand out.

To get better at solving problems, analyze the outcomes of past solutions you came up with. You can recognize what works and what doesn’t.

Think about how you can improve researching and analyzing a situation, how you can get better at communicating, and deciding on the right people in the organization to talk to and “pull in” to help you if needed, etc.

Finally, practice staying calm even in stressful situations. Take a few minutes to walk outside if needed. Step away from your phone and computer to clear your head. A work problem is rarely so urgent that you cannot take five minutes to think (with the possible exception of safety problems), and you’ll get better outcomes if you solve problems by acting logically instead of rushing to react in a panic.

You can use all of the ideas above to describe your problem-solving skills when asked interview questions about the topic. If you say that you do the things above, employers will be impressed when they assess your problem-solving ability.

More Interview Resources

• 3 Answers to “How Do You Handle Stress?”
• How to Answer “How Do You Handle Conflict?” (Interview Question)
• Sample Answers to “Tell Me About a Time You Failed”

About the Author

Biron Clark is a former executive recruiter who has worked individually with hundreds of job seekers, reviewed thousands of resumes and LinkedIn profiles, and recruited for top venture-backed startups and Fortune 500 companies. He has been advising job seekers since 2012 to think differently in their job search and land high-paying, competitive positions. Follow on Twitter and LinkedIn .

Read more articles by Biron Clark

About the Contributor

Kyle Elliott , career coach and mental health advocate, transforms his side hustle into a notable practice, aiding Silicon Valley professionals in maximizing potential. Follow Kyle on LinkedIn .

About the Editor

Hayley Jukes is the Editor-in-Chief at CareerSidekick with five years of experience creating engaging articles, books, and transcripts for diverse platforms and audiences.

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What is Problem Solving? (Steps, Techniques, Examples)

What is problem solving, definition and importance.

Problem solving is the process of finding solutions to obstacles or challenges you encounter in your life or work. It is a crucial skill that allows you to tackle complex situations, adapt to changes, and overcome difficulties with ease. Mastering this ability will contribute to both your personal and professional growth, leading to more successful outcomes and better decision-making.

Problem-Solving Steps

The problem-solving process typically includes the following steps:

• Identify the issue : Recognize the problem that needs to be solved.
• Analyze the situation : Examine the issue in depth, gather all relevant information, and consider any limitations or constraints that may be present.
• Generate potential solutions : Brainstorm a list of possible solutions to the issue, without immediately judging or evaluating them.
• Evaluate options : Weigh the pros and cons of each potential solution, considering factors such as feasibility, effectiveness, and potential risks.
• Select the best solution : Choose the option that best addresses the problem and aligns with your objectives.
• Implement the solution : Put the selected solution into action and monitor the results to ensure it resolves the issue.
• Review and learn : Reflect on the problem-solving process, identify any improvements or adjustments that can be made, and apply these learnings to future situations.

Defining the Problem

To start tackling a problem, first, identify and understand it. Analyzing the issue thoroughly helps to clarify its scope and nature. Ask questions to gather information and consider the problem from various angles. Some strategies to define the problem include:

• Brainstorming with others
• Asking the 5 Ws and 1 H (Who, What, When, Where, Why, and How)
• Analyzing cause and effect
• Creating a problem statement

Generating Solutions

Once the problem is clearly understood, brainstorm possible solutions. Think creatively and keep an open mind, as well as considering lessons from past experiences. Consider:

• Creating a list of potential ideas to solve the problem
• Grouping and categorizing similar solutions
• Prioritizing potential solutions based on feasibility, cost, and resources required
• Involving others to share diverse opinions and inputs

Evaluating and Selecting Solutions

Evaluate each potential solution, weighing its pros and cons. To facilitate decision-making, use techniques such as:

• SWOT analysis (Strengths, Weaknesses, Opportunities, Threats)
• Decision-making matrices
• Pros and cons lists
• Risk assessments

After evaluating, choose the most suitable solution based on effectiveness, cost, and time constraints.

Implementing and Monitoring the Solution

Implement the chosen solution and monitor its progress. Key actions include:

• Communicating the solution to relevant parties
• Setting timelines and milestones
• Assigning tasks and responsibilities
• Monitoring the solution and making adjustments as necessary
• Evaluating the effectiveness of the solution after implementation

Utilize feedback from stakeholders and consider potential improvements. Remember that problem-solving is an ongoing process that can always be refined and enhanced.

Problem-Solving Techniques

During each step, you may find it helpful to utilize various problem-solving techniques, such as:

• Brainstorming : A free-flowing, open-minded session where ideas are generated and listed without judgment, to encourage creativity and innovative thinking.
• Root cause analysis : A method that explores the underlying causes of a problem to find the most effective solution rather than addressing superficial symptoms.
• SWOT analysis : A tool used to evaluate the strengths, weaknesses, opportunities, and threats related to a problem or decision, providing a comprehensive view of the situation.
• Mind mapping : A visual technique that uses diagrams to organize and connect ideas, helping to identify patterns, relationships, and possible solutions.

Brainstorming

When facing a problem, start by conducting a brainstorming session. Gather your team and encourage an open discussion where everyone contributes ideas, no matter how outlandish they may seem. This helps you:

• Generate a diverse range of solutions
• Encourage all team members to participate
• Foster creative thinking

When brainstorming, remember to:

• Reserve judgment until the session is over
• Encourage wild ideas
• Combine and improve upon ideas

Root Cause Analysis

For effective problem-solving, identifying the root cause of the issue at hand is crucial. Try these methods:

• 5 Whys : Ask “why” five times to get to the underlying cause.
• Fishbone Diagram : Create a diagram representing the problem and break it down into categories of potential causes.
• Pareto Analysis : Determine the few most significant causes underlying the majority of problems.

SWOT Analysis

SWOT analysis helps you examine the Strengths, Weaknesses, Opportunities, and Threats related to your problem. To perform a SWOT analysis:

• List your problem’s strengths, such as relevant resources or strong partnerships.
• Identify its weaknesses, such as knowledge gaps or limited resources.
• Explore opportunities, like trends or new technologies, that could help solve the problem.
• Recognize potential threats, like competition or regulatory barriers.

SWOT analysis aids in understanding the internal and external factors affecting the problem, which can help guide your solution.

Mind Mapping

A mind map is a visual representation of your problem and potential solutions. It enables you to organize information in a structured and intuitive manner. To create a mind map:

• Write the problem in the center of a blank page.
• Draw branches from the central problem to related sub-problems or contributing factors.
• Add more branches to represent potential solutions or further ideas.

Mind mapping allows you to visually see connections between ideas and promotes creativity in problem-solving.

Examples of Problem Solving in Various Contexts

In the business world, you might encounter problems related to finances, operations, or communication. Applying problem-solving skills in these situations could look like:

• Identifying areas of improvement in your company’s financial performance and implementing cost-saving measures
• Resolving internal conflicts among team members by listening and understanding different perspectives, then proposing and negotiating solutions
• Streamlining a process for better productivity by removing redundancies, automating tasks, or re-allocating resources

In educational contexts, problem-solving can be seen in various aspects, such as:

• Addressing a gap in students’ understanding by employing diverse teaching methods to cater to different learning styles
• Developing a strategy for successful time management to balance academic responsibilities and extracurricular activities
• Seeking resources and support to provide equal opportunities for learners with special needs or disabilities

Everyday life is full of challenges that require problem-solving skills. Some examples include:

• Overcoming a personal obstacle, such as improving your fitness level, by establishing achievable goals, measuring progress, and adjusting your approach accordingly
• Navigating a new environment or city by researching your surroundings, asking for directions, or using technology like GPS to guide you
• Dealing with a sudden change, like a change in your work schedule, by assessing the situation, identifying potential impacts, and adapting your plans to accommodate the change.
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39 Best Problem-Solving Examples

Chris Drew (PhD)

Dr. Chris Drew is the founder of the Helpful Professor. He holds a PhD in education and has published over 20 articles in scholarly journals. He is the former editor of the Journal of Learning Development in Higher Education. [Image Descriptor: Photo of Chris]

Learn about our Editorial Process

Problem-solving is a process where you’re tasked with identifying an issue and coming up with the most practical and effective solution.

This indispensable skill is necessary in several aspects of life, from personal relationships to education to business decisions.

Problem-solving aptitude boosts rational thinking, creativity, and the ability to cooperate with others. It’s also considered essential in 21st Century workplaces.

If explaining your problem-solving skills in an interview, remember that the employer is trying to determine your ability to handle difficulties. Focus on explaining exactly how you solve problems, including by introducing your thoughts on some of the following frameworks and how you’ve applied them in the past.

Problem-Solving Examples

1. divergent thinking.

Divergent thinking refers to the process of coming up with multiple different answers to a single problem. It’s the opposite of convergent thinking, which would involve coming up with a singular answer .

The benefit of a divergent thinking approach is that it can help us achieve blue skies thinking – it lets us generate several possible solutions that we can then critique and analyze .

In the realm of problem-solving, divergent thinking acts as the initial spark. You’re working to create an array of potential solutions, even those that seem outwardly unrelated or unconventional, to get your brain turning and unlock out-of-the-box ideas.

This process paves the way for the decision-making stage, where the most promising ideas are selected and refined.

Go Deeper: Divervent Thinking Examples

2. Convergent Thinking

Next comes convergent thinking, the process of narrowing down multiple possibilities to arrive at a single solution.

This involves using your analytical skills to identify the best, most practical, or most economical solution from the pool of ideas that you generated in the divergent thinking stage.

In a way, convergent thinking shapes the “roadmap” to solve a problem after divergent thinking has supplied the “destinations.”

Have a think about which of these problem-solving skills you’re more adept at: divergent or convergent thinking?

Go Deeper: Convergent Thinking Examples

3. Brainstorming

Brainstorming is a group activity designed to generate a multitude of ideas regarding a specific problem. It’s divergent thinking as a group , which helps unlock even more possibilities.

A typical brainstorming session involves uninhibited and spontaneous ideation, encouraging participants to voice any possible solutions, no matter how unconventional they might appear.

It’s important in a brainstorming session to suspend judgment and be as inclusive as possible, allowing all participants to get involved.

By widening the scope of potential solutions, brainstorming allows better problem definition, more creative solutions, and helps to avoid thinking “traps” that might limit your perspective.

Go Deeper: Brainstorming Examples

4. Thinking Outside the Box

The concept of “thinking outside the box” encourages a shift in perspective, urging you to approach problems from an entirely new angle.

Rather than sticking to traditional methods and processes, it involves breaking away from conventional norms to cultivate unique solutions.

In problem-solving, this mindset can bypass established hurdles and bring you to fresh ideas that might otherwise remain undiscovered.

Think of it as going off the beaten track when regular routes present roadblocks to effective resolution.

5. Case Study Analysis

Analyzing case studies involves a detailed examination of real-life situations that bear relevance to the current problem at hand.

For example, if you’re facing a problem, you could go to another environment that has faced a similar problem and examine how they solved it. You’d then bring the insights from that case study back to your own problem.

This approach provides a practical backdrop against which theories and assumptions can be tested, offering valuable insights into how similar problems have been approached and resolved in the past.

See a Broader Range of Analysis Examples Here

6. Action Research

Action research involves a repetitive process of identifying a problem, formulating a plan to address it, implementing the plan, and then analyzing the results. It’s common in educational research contexts.

The objective is to promote continuous learning and improvement through reflection and action. You conduct research into your problem, attempt to apply a solution, then assess how well the solution worked. This becomes an iterative process of continual improvement over time.

For problem-solving, this method offers a way to test solutions in real-time and allows for changes and refinements along the way, based on feedback or observed outcomes. It’s a form of active problem-solving that integrates lessons learned into the next cycle of action.

Go Deeper: Action Research Examples

7. Information Gathering

Fundamental to solving any problem is the process of information gathering.

This involves collecting relevant data , facts, and details about the issue at hand, significantly aiding in the understanding and conceptualization of the problem.

In problem-solving, information gathering underpins every decision you make.

This process ensures your actions are based on concrete information and evidence, allowing for an informed approach to tackle the problem effectively.

8. Seeking Advice

Seeking advice implies turning to knowledgeable and experienced individuals or entities to gain insights on problem-solving.

It could include mentors, industry experts, peers, or even specialized literature.

The value in this process lies in leveraging different perspectives and proven strategies when dealing with a problem. Moreover, it aids you in avoiding pitfalls, saving time, and learning from others’ experiences.

9. Creative Thinking

Creative thinking refers to the ability to perceive a problem in a new way, identify unconventional patterns, or produce original solutions.

It encourages innovation and uniqueness, often leading to the most effective results.

When applied to problem-solving, creative thinking can help you break free from traditional constraints, ideal for potentially complex or unusual problems.

Go Deeper: Creative Thinking Examples

10. Conflict Resolution

Conflict resolution is a strategy developed to resolve disagreements and arguments, often involving communication, negotiation, and compromise.

When employed as a problem-solving technique, it can diffuse tension, clear bottlenecks, and create a collaborative environment.

Effective conflict resolution ensures that differing views or disagreements do not become roadblocks in the process of problem-solving.

Go Deeper: Conflict Resolution Examples

11. Addressing Bottlenecks

Bottlenecks refer to obstacles or hindrances that slow down or even halt a process.

In problem-solving, addressing bottlenecks involves identifying these impediments and finding ways to eliminate them.

This effort not only smooths the path to resolution but also enhances the overall efficiency of the problem-solving process.

For example, if your workflow is not working well, you’d go to the bottleneck – that one point that is most time consuming – and focus on that. Once you ‘break’ this bottleneck, the entire process will run more smoothly.

12. Market Research

Market research involves gathering and analyzing information about target markets, consumers, and competitors.

In sales and marketing, this is one of the most effective problem-solving methods. The research collected from your market (e.g. from consumer surveys) generates data that can help identify market trends, customer preferences, and competitor strategies.

In this sense, it allows a company to make informed decisions, solve existing problems, and even predict and prevent future ones.

13. Root Cause Analysis

Root cause analysis is a method used to identify the origin or the fundamental reason for a problem.

Once the root cause is determined, you can implement corrective actions to prevent the problem from recurring.

As a problem-solving procedure, root cause analysis helps you to tackle the problem at its source, rather than dealing with its surface symptoms.

Go Deeper: Root Cause Analysis Examples

14. Mind Mapping

Mind mapping is a visual tool used to structure information, helping you better analyze, comprehend and generate new ideas.

By laying out your thoughts visually, it can lead you to solutions that might not have been apparent with linear thinking.

In problem-solving, mind mapping helps in organizing ideas and identifying connections between them, providing a holistic view of the situation and potential solutions.

15. Trial and Error

The trial and error method involves attempting various solutions until you find one that resolves the problem.

It’s an empirical technique that relies on practical actions instead of theories or rules.

In the context of problem-solving, trial and error allows you the flexibility to test different strategies in real situations, gaining insights about what works and what doesn’t.

16. SWOT Analysis

SWOT is an acronym standing for Strengths, Weaknesses, Opportunities, and Threats.

It’s an analytic framework used to evaluate these aspects in relation to a particular objective or problem.

In problem-solving, SWOT Analysis helps you to identify favorable and unfavorable internal and external factors. It helps to craft strategies that make best use of your strengths and opportunities, whilst addressing weaknesses and threats.

Go Deeper: SWOT Analysis Examples

17. Scenario Planning

Scenario planning is a strategic planning method used to make flexible long-term plans.

It involves imagining, and then planning for, multiple likely future scenarios.

By forecasting various directions a problem could take, scenario planning helps manage uncertainty and is an effective tool for problem-solving in volatile conditions.

18. Six Thinking Hats

The Six Thinking Hats is a concept devised by Edward de Bono that proposes six different directions or modes of thinking, symbolized by six different hat colors.

Each hat signifies a different perspective, encouraging you to switch ‘thinking modes’ as you switch hats. This method can help remove bias and broaden perspectives when dealing with a problem.

19. Decision Matrix Analysis

Decision Matrix Analysis is a technique that allows you to weigh different factors when faced with several possible solutions.

After listing down the options and determining the factors of importance, each option is scored based on each factor.

Revealing a clear winner that both serves your objectives and reflects your values, Decision Matrix Analysis grounds your problem-solving process in objectivity and comprehensiveness.

20. Pareto Analysis

Also known as the 80/20 rule, Pareto Analysis is a decision-making technique.

It’s based on the principle that 80% of problems are typically caused by 20% of the causes, making it a handy tool for identifying the most significant issues in a situation.

Using this analysis, you’re likely to direct your problem-solving efforts more effectively, tackling the root causes producing most of the problem’s impact.

21. Critical Thinking

Critical thinking refers to the ability to analyze facts to form a judgment objectively.

It involves logical, disciplined thinking that is clear, rational, open-minded, and informed by evidence.

For problem-solving, critical thinking helps evaluate options and decide the most effective solution. It ensures your decisions are grounded in reason and facts, and not biased or irrational assumptions.

Go Deeper: Critical Thinking Examples

22. Hypothesis Testing

Hypothesis testing usually involves formulating a claim, testing it against actual data, and deciding whether to accept or reject the claim based on the results.

In problem-solving, hypotheses often represent potential solutions. Hypothesis testing provides verification, giving a statistical basis for decision-making and problem resolution.

Usually, this will require research methods and a scientific approach to see whether the hypothesis stands up or not.

Go Deeper: Types of Hypothesis Testing

23. Cost-Benefit Analysis

A cost-benefit analysis (CBA) is a systematic process of weighing the pros and cons of different solutions in terms of their potential costs and benefits.

It allows you to measure the positive effects against the negatives and informs your problem-solving strategy.

By using CBA, you can identify which solution offers the greatest benefit for the least cost, significantly improving efficacy and efficiency in your problem-solving process.

Go Deeper: Cost-Benefit Analysis Examples

24. Simulation and Modeling

Simulations and models allow you to create a simplified replica of real-world systems to test outcomes under controlled conditions.

In problem-solving, you can broadly understand potential repercussions of different solutions before implementation.

It offers a cost-effective way to predict the impacts of your decisions, minimizing potential risks associated with various solutions.

25. Delphi Method

The Delphi Method is a structured communication technique used to gather expert opinions.

The method involves a group of experts who respond to questionnaires about a problem. The responses are aggregated and shared with the group, and the process repeats until a consensus is reached.

This method of problem solving can provide a diverse range of insights and solutions, shaped by the wisdom of a collective expert group.

26. Cross-functional Team Collaboration

Cross-functional team collaboration involves individuals from different departments or areas of expertise coming together to solve a common problem or achieve a shared goal.

When you bring diverse skills, knowledge, and perspectives to a problem, it can lead to a more comprehensive and innovative solution.

In problem-solving, this promotes communal thinking and ensures that solutions are inclusive and holistic, with various aspects of the problem being addressed.

27. Benchmarking

Benchmarking involves comparing one’s business processes and performance metrics to the best practices from other companies or industries.

In problem-solving, it allows you to identify gaps in your own processes, determine how others have solved similar problems, and apply those solutions that have proven to be successful.

It also allows you to compare yourself to the best (the benchmark) and assess where you’re not as good.

28. Pros-Cons Lists

A pro-con analysis aids in problem-solving by weighing the advantages (pros) and disadvantages (cons) of various possible solutions.

This simple but powerful tool helps in making a balanced, informed decision.

When confronted with a problem, a pro-con analysis can guide you through the decision-making process, ensuring all possible outcomes and implications are scrutinized before arriving at the optimal solution. Thus, it helps to make the problem-solving process both methodical and comprehensive.

29. 5 Whys Analysis

The 5 Whys Analysis involves repeatedly asking the question ‘why’ (around five times) to peel away the layers of an issue and discover the root cause of a problem.

As a problem-solving technique, it enables you to delve into details that you might otherwise overlook and offers a simple, yet powerful, approach to uncover the origin of a problem.

For example, if your task is to find out why a product isn’t selling your first answer might be: “because customers don’t want it”, then you ask why again – “they don’t want it because it doesn’t solve their problem”, then why again – “because the product is missing a certain feature” … and so on, until you get to the root “why”.

30. Gap Analysis

Gap analysis entails comparing current performance with potential or desired performance.

You’re identifying the ‘gaps’, or the differences, between where you are and where you want to be.

In terms of problem-solving, a Gap Analysis can help identify key areas for improvement and design a roadmap of how to get from the current state to the desired one.

31. Design Thinking

Design thinking is a problem-solving approach that involves empathy, experimentation, and iteration.

The process focuses on understanding user needs, challenging assumptions , and redefining problems from a user-centric perspective.

In problem-solving, design thinking uncovers innovative solutions that may not have been initially apparent and ensures the solution is tailored to the needs of those affected by the issue.

32. Analogical Thinking

Analogical thinking involves the transfer of information from a particular subject (the analogue or source) to another particular subject (the target).

In problem-solving, you’re drawing parallels between similar situations and applying the problem-solving techniques used in one situation to the other.

Thus, it allows you to apply proven strategies to new, but related problems.

33. Lateral Thinking

Lateral thinking requires looking at a situation or problem from a unique, sometimes abstract, often non-sequential viewpoint.

Unlike traditional logical thinking methods, lateral thinking encourages you to employ creative and out-of-the-box techniques.

In solving problems, this type of thinking boosts ingenuity and drives innovation, often leading to novel and effective solutions.

Go Deeper: Lateral Thinking Examples

34. Flowcharting

Flowcharting is the process of visually mapping a process or procedure.

This form of diagram can show every step of a system, process, or workflow, enabling an easy tracking of the progress.

As a problem-solving tool, flowcharts help identify bottlenecks or inefficiencies in a process, guiding improved strategies and providing clarity on task ownership and process outcomes.

35. Multivoting

Multivoting, or N/3 voting, is a method where participants reduce a large list of ideas to a prioritized shortlist by casting multiple votes.

This voting system elevates the most preferred options for further consideration and decision-making.

As a problem-solving technique, multivoting allows a group to narrow options and focus on the most promising solutions, ensuring more effective and democratic decision-making.

36. Force Field Analysis

Force Field Analysis is a decision-making technique that identifies the forces for and against change when contemplating a decision.

The ‘forces’ represent the differing factors that can drive or hinder change.

In problem-solving, Force Field Analysis allows you to understand the entirety of the context, favoring a balanced view over a one-sided perspective. A comprehensive view of all the forces at play can lead to better-informed problem-solving decisions.

TRIZ, which stands for “The Theory of Inventive Problem Solving,” is a problem-solving, analysis, and forecasting methodology.

It focuses on finding contradictions inherent in a scenario. Then, you work toward eliminating the contraditions through finding innovative solutions.

So, when you’re tackling a problem, TRIZ provides a disciplined, systematic approach that aims for ideal solutions and not just acceptable ones. Using TRIZ, you can leverage patterns of problem-solving that have proven effective in different cases, pivoting them to solve the problem at hand.

38. A3 Problem Solving

A3 Problem Solving, derived from Lean Management, is a structured method that uses a single sheet of A3-sized paper to document knowledge from a problem-solving process.

Named after the international paper size standard of A3 (or 11-inch by 17-inch paper), it succinctly records all key details of the problem-solving process from problem description to the root cause and corrective actions.

Used in problem-solving, this provides a straightforward and logical structure for addressing the problem, facilitating communication between team members, ensuring all critical details are included, and providing a record of decisions made.

39. Scenario Analysis

Scenario Analysis is all about predicting different possible future events depending upon your decision.

To do this, you look at each course of action and try to identify the most likely outcomes or scenarios down the track if you take that course of action.

This technique helps forecast the impacts of various strategies, playing each out to their (logical or potential) end. It’s a good strategy for project managers who need to keep a firm eye on the horizon at all times.

When solving problems, Scenario Analysis assists in preparing for uncertainties, making sure your solution remains viable, regardless of changes in circumstances.

How to Answer “Demonstrate Problem-Solving Skills” in an Interview

When asked to demonstrate your problem-solving skills in an interview, the STAR method often proves useful. STAR stands for Situation, Task, Action, and Result.

Situation: Begin by describing a specific circumstance or challenge you encountered. Make sure to provide enough detail to allow the interviewer a clear understanding. You should select an event that adequately showcases your problem-solving abilities.

For instance, “In my previous role as a project manager, we faced a significant issue when our key supplier abruptly went out of business.”

Task: Explain what your responsibilities were in that situation. This serves to provide context, allowing the interviewer to understand your role and the expectations placed upon you.

For instance, “It was my task to ensure the project remained on track despite this setback. Alternative suppliers needed to be found without sacrificing quality or significantly increasing costs.”

Action: Describe the steps you took to manage the problem. Highlight your problem-solving process. Mention any creative approaches or techniques that you used.

For instance, “I conducted thorough research to identify potential new suppliers. After creating a shortlist, I initiated contact, negotiated terms, assessed samples for quality and made a selection. I also worked closely with the team to re-adjust the project timeline.”

Result: Share the outcomes of your actions. How did the situation end? Did your actions lead to success? It’s particularly effective if you can quantify these results.

For instance, “As a result of my active problem solving, we were able to secure a new supplier whose costs were actually 10% cheaper and whose quality was comparable. We adjusted the project plan and managed to complete the project just two weeks later than originally planned, despite the major vendor setback.”

Remember, when you’re explaining your problem-solving skills to an interviewer, what they’re really interested in is your approach to handling difficulties, your creativity and persistence in seeking a resolution, and your ability to carry your solution through to fruition. Tailoring your story to highlight these aspects will help exemplify your problem-solving prowess.

Go Deeper: STAR Interview Method Examples

Benefits of Problem-Solving

Problem-solving is beneficial for the following reasons (among others):

• It can help you to overcome challenges, roadblocks, and bottlenecks in your life.
• It can save a company money.
• It can help you to achieve clarity in your thinking.
• It can make procedures more efficient and save time.
• It can strengthen your decision-making capacities.
• It can lead to better risk management.

Whether for a job interview or school, problem-solving helps you to become a better thinking, solve your problems more effectively, and achieve your goals. Build up your problem-solving frameworks (I presented over 40 in this piece for you!) and work on applying them in real-life situations.

• Chris Drew (PhD) https://helpfulprofessor.com/author/chris-drew-phd-2/ 21 Montessori Homeschool Setups
• Chris Drew (PhD) https://helpfulprofessor.com/author/chris-drew-phd-2/ 101 Hidden Talents Examples
• Chris Drew (PhD) https://helpfulprofessor.com/author/chris-drew-phd-2/ 15 Green Flags in a Relationship
• Chris Drew (PhD) https://helpfulprofessor.com/author/chris-drew-phd-2/ 15 Signs you're Burnt Out, Not Lazy

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Problem-Solving Strategies and Obstacles

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From deciding what to eat for dinner to considering whether it's the right time to buy a house, problem-solving is a large part of our daily lives. Learn some of the problem-solving strategies that exist and how to use them in real life, along with ways to overcome obstacles that are making it harder to resolve the issues you face.

What Is Problem-Solving?

In cognitive psychology , the term 'problem-solving' refers to the mental process that people go through to discover, analyze, and solve problems.

A problem exists when there is a goal that we want to achieve but the process by which we will achieve it is not obvious to us. Put another way, there is something that we want to occur in our life, yet we are not immediately certain how to make it happen.

Maybe you want a better relationship with your spouse or another family member but you're not sure how to improve it. Or you want to start a business but are unsure what steps to take. Problem-solving helps you figure out how to achieve these desires.

The problem-solving process involves:

• Discovery of the problem
• Deciding to tackle the issue
• Seeking to understand the problem more fully
• Researching available options or solutions
• Taking action to resolve the issue

Before problem-solving can occur, it is important to first understand the exact nature of the problem itself. If your understanding of the issue is faulty, your attempts to resolve it will also be incorrect or flawed.

Problem-Solving Mental Processes

Several mental processes are at work during problem-solving. Among them are:

• Perceptually recognizing the problem
• Representing the problem in memory
• Considering relevant information that applies to the problem
• Identifying different aspects of the problem
• Labeling and describing the problem

Problem-Solving Strategies

There are many ways to go about solving a problem. Some of these strategies might be used on their own, or you may decide to employ multiple approaches when working to figure out and fix a problem.

An algorithm is a step-by-step procedure that, by following certain "rules" produces a solution. Algorithms are commonly used in mathematics to solve division or multiplication problems. But they can be used in other fields as well.

In psychology, algorithms can be used to help identify individuals with a greater risk of mental health issues. For instance, research suggests that certain algorithms might help us recognize children with an elevated risk of suicide or self-harm.

One benefit of algorithms is that they guarantee an accurate answer. However, they aren't always the best approach to problem-solving, in part because detecting patterns can be incredibly time-consuming.

There are also concerns when machine learning is involved—also known as artificial intelligence (AI)—such as whether they can accurately predict human behaviors.

Heuristics are shortcut strategies that people can use to solve a problem at hand. These "rule of thumb" approaches allow you to simplify complex problems, reducing the total number of possible solutions to a more manageable set.

If you find yourself sitting in a traffic jam, for example, you may quickly consider other routes, taking one to get moving once again. When shopping for a new car, you might think back to a prior experience when negotiating got you a lower price, then employ the same tactics.

While heuristics may be helpful when facing smaller issues, major decisions shouldn't necessarily be made using a shortcut approach. Heuristics also don't guarantee an effective solution, such as when trying to drive around a traffic jam only to find yourself on an equally crowded route.

Trial and Error

A trial-and-error approach to problem-solving involves trying a number of potential solutions to a particular issue, then ruling out those that do not work. If you're not sure whether to buy a shirt in blue or green, for instance, you may try on each before deciding which one to purchase.

This can be a good strategy to use if you have a limited number of solutions available. But if there are many different choices available, narrowing down the possible options using another problem-solving technique can be helpful before attempting trial and error.

In some cases, the solution to a problem can appear as a sudden insight. You are facing an issue in a relationship or your career when, out of nowhere, the solution appears in your mind and you know exactly what to do.

Insight can occur when the problem in front of you is similar to an issue that you've dealt with in the past. Although, you may not recognize what is occurring since the underlying mental processes that lead to insight often happen outside of conscious awareness .

Research indicates that insight is most likely to occur during times when you are alone—such as when going on a walk by yourself, when you're in the shower, or when lying in bed after waking up.

How to Apply Problem-Solving Strategies in Real Life

If you're facing a problem, you can implement one or more of these strategies to find a potential solution. Here's how to use them in real life:

• Create a flow chart . If you have time, you can take advantage of the algorithm approach to problem-solving by sitting down and making a flow chart of each potential solution, its consequences, and what happens next.
• Recall your past experiences . When a problem needs to be solved fairly quickly, heuristics may be a better approach. Think back to when you faced a similar issue, then use your knowledge and experience to choose the best option possible.
• Start trying potential solutions . If your options are limited, start trying them one by one to see which solution is best for achieving your desired goal. If a particular solution doesn't work, move on to the next.
• Take some time alone . Since insight is often achieved when you're alone, carve out time to be by yourself for a while. The answer to your problem may come to you, seemingly out of the blue, if you spend some time away from others.

Obstacles to Problem-Solving

Problem-solving is not a flawless process as there are a number of obstacles that can interfere with our ability to solve a problem quickly and efficiently. These obstacles include:

• Assumptions: When dealing with a problem, people can make assumptions about the constraints and obstacles that prevent certain solutions. Thus, they may not even try some potential options.
• Functional fixedness : This term refers to the tendency to view problems only in their customary manner. Functional fixedness prevents people from fully seeing all of the different options that might be available to find a solution.
• Irrelevant or misleading information: When trying to solve a problem, it's important to distinguish between information that is relevant to the issue and irrelevant data that can lead to faulty solutions. The more complex the problem, the easier it is to focus on misleading or irrelevant information.
• Mental set: A mental set is a tendency to only use solutions that have worked in the past rather than looking for alternative ideas. A mental set can work as a heuristic, making it a useful problem-solving tool. However, mental sets can also lead to inflexibility, making it more difficult to find effective solutions.

How to Improve Your Problem-Solving Skills

In the end, if your goal is to become a better problem-solver, it's helpful to remember that this is a process. Thus, if you want to improve your problem-solving skills, following these steps can help lead you to your solution:

• Recognize that a problem exists . If you are facing a problem, there are generally signs. For instance, if you have a mental illness , you may experience excessive fear or sadness, mood changes, and changes in sleeping or eating habits. Recognizing these signs can help you realize that an issue exists.
• Decide to solve the problem . Make a conscious decision to solve the issue at hand. Commit to yourself that you will go through the steps necessary to find a solution.
• Seek to fully understand the issue . Analyze the problem you face, looking at it from all sides. If your problem is relationship-related, for instance, ask yourself how the other person may be interpreting the issue. You might also consider how your actions might be contributing to the situation.
• Research potential options . Using the problem-solving strategies mentioned, research potential solutions. Make a list of options, then consider each one individually. What are some pros and cons of taking the available routes? What would you need to do to make them happen?
• Take action . Select the best solution possible and take action. Action is one of the steps required for change . So, go through the motions needed to resolve the issue.
• Try another option, if needed . If the solution you chose didn't work, don't give up. Either go through the problem-solving process again or simply try another option.

You can find a way to solve your problems as long as you keep working toward this goal—even if the best solution is simply to let go because no other good solution exists.

Sarathy V. Real world problem-solving .  Front Hum Neurosci . 2018;12:261. doi:10.3389/fnhum.2018.00261

Dunbar K. Problem solving . A Companion to Cognitive Science . 2017. doi:10.1002/9781405164535.ch20

Stewart SL, Celebre A, Hirdes JP, Poss JW. Risk of suicide and self-harm in kids: The development of an algorithm to identify high-risk individuals within the children's mental health system . Child Psychiat Human Develop . 2020;51:913-924. doi:10.1007/s10578-020-00968-9

Rosenbusch H, Soldner F, Evans AM, Zeelenberg M. Supervised machine learning methods in psychology: A practical introduction with annotated R code . Soc Personal Psychol Compass . 2021;15(2):e12579. doi:10.1111/spc3.12579

Mishra S. Decision-making under risk: Integrating perspectives from biology, economics, and psychology . Personal Soc Psychol Rev . 2014;18(3):280-307. doi:10.1177/1088868314530517

Csikszentmihalyi M, Sawyer K. Creative insight: The social dimension of a solitary moment . In: The Systems Model of Creativity . 2015:73-98. doi:10.1007/978-94-017-9085-7_7

Chrysikou EG, Motyka K, Nigro C, Yang SI, Thompson-Schill SL. Functional fixedness in creative thinking tasks depends on stimulus modality .  Psychol Aesthet Creat Arts . 2016;10(4):425‐435. doi:10.1037/aca0000050

Huang F, Tang S, Hu Z. Unconditional perseveration of the short-term mental set in chunk decomposition .  Front Psychol . 2018;9:2568. doi:10.3389/fpsyg.2018.02568

National Alliance on Mental Illness. Warning signs and symptoms .

Mayer RE. Thinking, problem solving, cognition, 2nd ed .

Schooler JW, Ohlsson S, Brooks K. Thoughts beyond words: When language overshadows insight. J Experiment Psychol: General . 1993;122:166-183. doi:10.1037/0096-3445.2.166

By Kendra Cherry, MSEd Kendra Cherry, MS, is a psychosocial rehabilitation specialist, psychology educator, and author of the "Everything Psychology Book."

What Are Problem-Solving Skills? Definition and Examples

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Forage puts students first. Our blog articles are written independently by our editorial team. They have not been paid for or sponsored by our partners. See our full  editorial guidelines .

Why do employers hire employees? To help them solve problems. Whether you’re a financial analyst deciding where to invest your firm’s money, or a marketer trying to figure out which channel to direct your efforts, companies hire people to help them find solutions. Problem-solving is an essential and marketable soft skill in the workplace. 

So, how can you improve your problem-solving and show employers you have this valuable skill? In this guide, we’ll cover:

Problem-Solving Skills Definition

Why are problem-solving skills important, problem-solving skills examples, how to include problem-solving skills in a job application, how to improve problem-solving skills, problem-solving: the bottom line.

Problem-solving skills are the ability to identify problems, brainstorm and analyze answers, and implement the best solutions. An employee with good problem-solving skills is both a self-starter and a collaborative teammate; they are proactive in understanding the root of a problem and work with others to consider a wide range of solutions before deciding how to move forward. 

Examples of using problem-solving skills in the workplace include:

• Researching patterns to understand why revenue decreased last quarter
• Experimenting with a new marketing channel to increase website sign-ups
• Brainstorming content types to share with potential customers
• Testing calls to action to see which ones drive the most product sales
• Implementing a new workflow to automate a team process and increase productivity

Problem-solving skills are the most sought-after soft skill of 2022. In fact, 86% of employers look for problem-solving skills on student resumes, according to the National Association of Colleges and Employers Job Outlook 2022 survey . 

It’s unsurprising why employers are looking for this skill: companies will always need people to help them find solutions to their problems. Someone proactive and successful at problem-solving is valuable to any team.

“Employers are looking for employees who can make decisions independently, especially with the prevalence of remote/hybrid work and the need to communicate asynchronously,” Eric Mochnacz, senior HR consultant at Red Clover, says. “Employers want to see individuals who can make well-informed decisions that mitigate risk, and they can do so without suffering from analysis paralysis.”

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Problem-solving includes three main parts: identifying the problem, analyzing possible solutions, and deciding on the best course of action.

>>MORE: Discover the right career for you based on your skills with a career aptitude test .

Research is the first step of problem-solving because it helps you understand the context of a problem. Researching a problem enables you to learn why the problem is happening. For example, is revenue down because of a new sales tactic? Or because of seasonality? Is there a problem with who the sales team is reaching out to? 

Research broadens your scope to all possible reasons why the problem could be happening. Then once you figure it out, it helps you narrow your scope to start solving it. 

Analysis is the next step of problem-solving. Now that you’ve identified the problem, analytical skills help you look at what potential solutions there might be.

“The goal of analysis isn’t to solve a problem, actually — it’s to better understand it because that’s where the real solution will be found,” Gretchen Skalka, owner of Career Insights Consulting, says. “Looking at a problem through the lens of impartiality is the only way to get a true understanding of it from all angles.”

Decision-Making

Once you’ve figured out where the problem is coming from and what solutions are, it’s time to decide on the best way to go forth. Decision-making skills help you determine what resources are available, what a feasible action plan entails, and what solution is likely to lead to success.

On a Resume

Employers looking for problem-solving skills might include the word “problem-solving” or other synonyms like “ critical thinking ” or “analytical skills” in the job description.

“I would add ‘buzzwords’ you can find from the job descriptions or LinkedIn endorsements section to filter into your resume to comply with the ATS,” Matthew Warzel, CPRW resume writer, advises. Warzel recommends including these skills on your resume but warns to “leave the soft skills as adjectives in the summary section. That is the only place soft skills should be mentioned.”

On the other hand, you can list hard skills separately in a skills section on your resume .

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In a Cover Letter or an Interview

Explaining your problem-solving skills in an interview can seem daunting. You’re required to expand on your process — how you identified a problem, analyzed potential solutions, and made a choice. As long as you can explain your approach, it’s okay if that solution didn’t come from a professional work experience.

“Young professionals shortchange themselves by thinking only paid-for solutions matter to employers,” Skalka says. “People at the genesis of their careers don’t have a wealth of professional experience to pull from, but they do have relevant experience to share.”

Aaron Case, career counselor and CPRW at Resume Genius, agrees and encourages early professionals to share this skill. “If you don’t have any relevant work experience yet, you can still highlight your problem-solving skills in your cover letter,” he says. “Just showcase examples of problems you solved while completing your degree, working at internships, or volunteering. You can even pull examples from completely unrelated part-time jobs, as long as you make it clear how your problem-solving ability transfers to your new line of work.”

Learn How to Identify Problems

Problem-solving doesn’t just require finding solutions to problems that are already there. It’s also about being proactive when something isn’t working as you hoped it would. Practice questioning and getting curious about processes and activities in your everyday life. What could you improve? What would you do if you had more resources for this process? If you had fewer? Challenge yourself to challenge the world around you.

Think Digitally

“Employers in the modern workplace value digital problem-solving skills, like being able to find a technology solution to a traditional issue,” Case says. “For example, when I first started working as a marketing writer, my department didn’t have the budget to hire a professional voice actor for marketing video voiceovers. But I found a perfect solution to the problem with an AI voiceover service that cost a fraction of the price of an actor.”

Being comfortable with new technology — even ones you haven’t used before — is a valuable skill in an increasingly hybrid and remote world. Don’t be afraid to research new and innovative technologies to help automate processes or find a more efficient technological solution.

Collaborate

Problem-solving isn’t done in a silo, and it shouldn’t be. Use your collaboration skills to gather multiple perspectives, help eliminate bias, and listen to alternative solutions. Ask others where they think the problem is coming from and what solutions would help them with your workflow. From there, try to compromise on a solution that can benefit everyone.

If we’ve learned anything from the past few years, it’s that the world of work is constantly changing — which means it’s crucial to know how to adapt . Be comfortable narrowing down a solution, then changing your direction when a colleague provides a new piece of information. Challenge yourself to get out of your comfort zone, whether with your personal routine or trying a new system at work.

Put Yourself in the Middle of Tough Moments

Just like adapting requires you to challenge your routine and tradition, good problem-solving requires you to put yourself in challenging situations — especially ones where you don’t have relevant experience or expertise to find a solution. Because you won’t know how to tackle the problem, you’ll learn new problem-solving skills and how to navigate new challenges. Ask your manager or a peer if you can help them work on a complicated problem, and be proactive about asking them questions along the way.

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Step 1 of 3

Companies always need people to help them find solutions — especially proactive employees who have practical analytical skills and can collaborate to decide the best way to move forward. Whether or not you have experience solving problems in a professional workplace, illustrate your problem-solving skills by describing your research, analysis, and decision-making process — and make it clear that you’re the solution to the employer’s current problems. 

Image Credit: Christina Morillo / Pexels 

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What Is Problem-Solving? How to Use Problem-Solving Skills to Resolve Issues

Great businesses don’t exist to simply grow and make money. Instead, they solve the world’s problems , from tiny issues to giant dilemmas. Problem-solving is essentially the main function of organizations. An effective organization will have systems and processes in place to reach their goals and solve problems. If a company has team members and leaders who have poor problem-solving skills, that means they’re ineffective at one of the core functions of a business.

What Is Problem-Solving?

What is the general process of problem-solving, 1. define the problem, 2. brainstorm possible solutions, 3. research several options.

After you’ve come up with several possible alternative solutions, pick two or three that seem the most promising using your analytical skills. Then you’ll need to buckle down and do some research to see which one to pursue. Conduct your research using primary and secondary resources.

4. Select a Solution

In order to make the most objective decision:

5. Develop an Action Plan

When the right choice is made, and the solution is placed into the overall strategy, start developing an action plan . Lay out the “who,” “what,” “when,” “why,” and “how.” Visualize exactly what success looks like with this new plan. When working through the problem-solving process, write all the details down. This helps leaders construct action items and delegate them accordingly. Never leave this part of the process empty-handed. Your team needs a clear picture of expectations so they can properly implement the solution. And if everything works, you can use this problem-solving model in the future.

The Best Problem-Solving Strategies and Tools

One of the best ways to discover the root cause of a problem is by utilizing the 5 Whys method. This strategy was developed by Sakichi Toyoda, founder of Toyota Industries. It’s as simple as it sounds. When a problem occurs, ask why it happened five times. In theory, the last answer should get to the heart of the issue.

First Principles Thinking

When one engages in first principles thinking , they end up questioning what everyone just assumes to be true. It effectively removes those assumptions , breaking things down into their most basic elements that are probably true. It’s all about getting to that core foundation of truth and building out from there. Problem-solving skills should always include first principles thinking.

Steve Jobs’ Problem-Solving Method

What to do when a problem feels too big to solve.

Tackling a problem that feels too big to solve requires a can-do, positive mindset. In order to improve your problem-solving, you’ll need to take remember these steps. Imagine what is possible instead of focusing on what seems impossible. As you do so, you’ll become skilled in solving all sorts of problems while also improving your decision-making.

Top 20 Problem Solving Interview Questions (Example Answers Included)

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By Mike Simpson

When candidates prepare for interviews, they usually focus on highlighting their leadership, communication, teamwork, and similar crucial soft skills . However, not everyone gets ready for problem-solving interview questions. And that can be a big mistake.

Problem-solving is relevant to nearly any job on the planet. Yes, it’s more prevalent in certain industries, but it’s helpful almost everywhere.

Regardless of the role you want to land, you may be asked to provide problem-solving examples or describe how you would deal with specific situations. That’s why being ready to showcase your problem-solving skills is so vital.

If you aren’t sure who to tackle problem-solving questions, don’t worry, we have your back. Come with us as we explore this exciting part of the interview process, as well as some problem-solving interview questions and example answers.

What Is Problem-Solving?

When you’re trying to land a position, there’s a good chance you’ll face some problem-solving interview questions. But what exactly is problem-solving? And why is it so important to hiring managers?

Well, the good folks at Merriam-Webster define problem-solving as “the process or act of finding a solution to a problem.” While that may seem like common sense, there’s a critical part to that definition that should catch your eye.

What part is that? The word “process.”

In the end, problem-solving is an activity. It’s your ability to take appropriate steps to find answers, determine how to proceed, or otherwise overcome the challenge.

Being great at it usually means having a range of helpful problem-solving skills and traits. Research, diligence, patience, attention-to-detail , collaboration… they can all play a role. So can analytical thinking , creativity, and open-mindedness.

But why do hiring managers worry about your problem-solving skills? Well, mainly, because every job comes with its fair share of problems.

While problem-solving is relevant to scientific, technical, legal, medical, and a whole slew of other careers. It helps you overcome challenges and deal with the unexpected. It plays a role in troubleshooting and innovation. That’s why it matters to hiring managers.

How to Answer Problem-Solving Interview Questions

Okay, before we get to our examples, let’s take a quick second to talk about strategy. Knowing how to answer problem-solving interview questions is crucial. Why? Because the hiring manager might ask you something that you don’t anticipate.

Problem-solving interview questions are all about seeing how you think. As a result, they can be a bit… unconventional.

These aren’t your run-of-the-mill job interview questions . Instead, they are tricky behavioral interview questions . After all, the goal is to find out how you approach problem-solving, so most are going to feature scenarios, brainteasers, or something similar.

So, having a great strategy means knowing how to deal with behavioral questions. Luckily, there are a couple of tools that can help.

First, when it comes to the classic approach to behavioral interview questions, look no further than the STAR Method . With the STAR method, you learn how to turn your answers into captivating stories. This makes your responses tons more engaging, ensuring you keep the hiring manager’s attention from beginning to end.

Now, should you stop with the STAR Method? Of course not. If you want to take your answers to the next level, spend some time with the Tailoring Method , too.

With the Tailoring Method, it’s all about relevance. So, if you get a chance to choose an example that demonstrates your problem-solving skills, this is really the way to go.

We also wanted to let you know that we created an amazing free cheat sheet that will give you word-for-word answers for some of the toughest interview questions you are going to face in your upcoming interview. After all, hiring managers will often ask you more generalized interview questions!

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Top 3 Problem-Solving-Based Interview Questions

Alright, here is what you’ve been waiting for: the problem-solving questions and sample answers.

While many questions in this category are job-specific, these tend to apply to nearly any job. That means there’s a good chance you’ll come across them at some point in your career, making them a great starting point when you’re practicing for an interview.

So, let’s dive in, shall we? Here’s a look at the top three problem-solving interview questions and example responses.

1. Can you tell me about a time when you had to solve a challenging problem?

In the land of problem-solving questions, this one might be your best-case scenario. It lets you choose your own problem-solving examples to highlight, putting you in complete control.

When you choose an example, go with one that is relevant to what you’ll face in the role. The closer the match, the better the answer is in the eyes of the hiring manager.

EXAMPLE ANSWER:

“While working as a mobile telecom support specialist for a large organization, we had to transition our MDM service from one vendor to another within 45 days. This personally physically handling 500 devices within the agency. Devices had to be gathered from the headquarters and satellite offices, which were located all across the state, something that was challenging even without the tight deadline. I approached the situation by identifying the location assignment of all personnel within the organization, enabling me to estimate transit times for receiving the devices. Next, I timed out how many devices I could personally update in a day. Together, this allowed me to create a general timeline. After that, I coordinated with each location, both expressing the urgency of adhering to deadlines and scheduling bulk shipping options. While there were occasional bouts of resistance, I worked with location leaders to calm concerns and facilitate action. While performing all of the updates was daunting, my approach to organizing the event made it a success. Ultimately, the entire transition was finished five days before the deadline, exceeding the expectations of many.”

2. Describe a time where you made a mistake. What did you do to fix it?

While this might not look like it’s based on problem-solving on the surface, it actually is. When you make a mistake, it creates a challenge, one you have to work your way through. At a minimum, it’s an opportunity to highlight problem-solving skills, even if you don’t address the topic directly.

When you choose an example, you want to go with a situation where the end was positive. However, the issue still has to be significant, causing something negative to happen in the moment that you, ideally, overcame.

“When I first began in a supervisory role, I had trouble setting down my individual contributor hat. I tried to keep up with my past duties while also taking on the responsibilities of my new role. As a result, I began rushing and introduced an error into the code of the software my team was updating. The error led to a memory leak. We became aware of the issue when the performance was hindered, though we didn’t immediately know the cause. I dove back into the code, reviewing recent changes, and, ultimately, determined the issue was a mistake on my end. When I made that discovery, I took several steps. First, I let my team know that the error was mine and let them know its nature. Second, I worked with my team to correct the issue, resolving the memory leak. Finally, I took this as a lesson about delegation. I began assigning work to my team more effectively, a move that allowed me to excel as a manager and help them thrive as contributors. It was a crucial learning moment, one that I have valued every day since.”

3. If you identify a potential risk in a project, what steps do you take to prevent it?

Yes, this is also a problem-solving question. The difference is, with this one, it’s not about fixing an issue; it’s about stopping it from happening. Still, you use problem-solving skills along the way, so it falls in this question category.

If you can, use an example of a moment when you mitigated risk in the past. If you haven’t had that opportunity, approach it theoretically, discussing the steps you would take to prevent an issue from developing.

“If I identify a potential risk in a project, my first step is to assess the various factors that could lead to a poor outcome. Prevention requires analysis. Ensuring I fully understand what can trigger the undesired event creates the right foundation, allowing me to figure out how to reduce the likelihood of those events occurring. Once I have the right level of understanding, I come up with a mitigation plan. Exactly what this includes varies depending on the nature of the issue, though it usually involves various steps and checks designed to monitor the project as it progresses to spot paths that may make the problem more likely to happen. I find this approach effective as it combines knowledge and ongoing vigilance. That way, if the project begins to head into risky territory, I can correct its trajectory.”

17 More Problem-Solving-Based Interview Questions

In the world of problem-solving questions, some apply to a wide range of jobs, while others are more niche. For example, customer service reps and IT helpdesk professionals both encounter challenges, but not usually the same kind.

As a result, some of the questions in this list may be more relevant to certain careers than others. However, they all give you insights into what this kind of question looks like, making them worth reviewing.

Here are 17 more problem-solving interview questions you might face off against during your job search:

• How would you describe your problem-solving skills?
• Can you tell me about a time when you had to use creativity to deal with an obstacle?
• Describe a time when you discovered an unmet customer need while assisting a customer and found a way to meet it.
• If you were faced with an upset customer, how would you diffuse the situation?
• Tell me about a time when you had to troubleshoot a complex issue.
• Imagine you were overseeing a project and needed a particular item. You have two choices of vendors: one that can deliver on time but would be over budget, and one that’s under budget but would deliver one week later than you need it. How do you figure out which approach to use?
• Your manager wants to upgrade a tool you regularly use for your job and wants your recommendation. How do you formulate one?
• A supplier has said that an item you need for a project isn’t going to be delivered as scheduled, something that would cause your project to fall behind schedule. What do you do to try and keep the timeline on target?
• Can you share an example of a moment where you encountered a unique problem you and your colleagues had never seen before? How did you figure out what to do?
• Imagine you were scheduled to give a presentation with a colleague, and your colleague called in sick right before it was set to begin. What would you do?
• If you are given two urgent tasks from different members of the leadership team, both with the same tight deadline, how do you choose which to tackle first?
• Tell me about a time you and a colleague didn’t see eye-to-eye. How did you decide what to do?
• Describe your troubleshooting process.
• Tell me about a time where there was a problem that you weren’t able to solve. What happened?
• In your opening, what skills or traits make a person an exceptional problem-solver?
• When you face a problem that requires action, do you usually jump in or take a moment to carefully assess the situation?
• When you encounter a new problem you’ve never seen before, what is the first step that you take?

Putting It All Together

At this point, you should have a solid idea of how to approach problem-solving interview questions. Use the tips above to your advantage. That way, you can thrive during your next interview.

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Co-Founder and CEO of TheInterviewGuys.com. Mike is a job interview and career expert and the head writer at TheInterviewGuys.com.

His advice and insights have been shared and featured by publications such as Forbes , Entrepreneur , CNBC and more as well as educational institutions such as the University of Michigan , Penn State , Northeastern and others.

Learn more about The Interview Guys on our About Us page .

About The Author

Mike simpson.

Co-Founder and CEO of TheInterviewGuys.com. Mike is a job interview and career expert and the head writer at TheInterviewGuys.com. His advice and insights have been shared and featured by publications such as Forbes , Entrepreneur , CNBC and more as well as educational institutions such as the University of Michigan , Penn State , Northeastern and others. Learn more about The Interview Guys on our About Us page .

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The 5 steps of the solving problem process

August 17, 2023 by MindManager Blog

Whether you run a business, manage a team, or work in an industry where change is the norm, it may feel like something is always going wrong. Thankfully, becoming proficient in the problem solving process can alleviate a great deal of the stress that business issues can create.

Understanding the right way to solve problems not only takes the guesswork out of how to deal with difficult, unexpected, or complex situations, it can lead to more effective long-term solutions.

In this article, we’ll walk you through the 5 steps of problem solving, and help you explore a few examples of problem solving scenarios where you can see the problem solving process in action before putting it to work.

Understanding the problem solving process

When something isn’t working, it’s important to understand what’s at the root of the problem so you can fix it and prevent it from happening again. That’s why resolving difficult or complex issues works best when you apply proven business problem solving tools and techniques – from soft skills, to software.

The problem solving process typically includes:

• Pinpointing what’s broken by gathering data and consulting with team members.
• Figuring out why it’s not working by mapping out and troubleshooting the problem.
• Deciding on the most effective way to fix it by brainstorming and then implementing a solution.

While skills like active listening, collaboration, and leadership play an important role in problem solving, tools like visual mapping software make it easier to define and share problem solving objectives, play out various solutions, and even put the best fit to work.

Before you can take your first step toward solving a problem, you need to have a clear idea of what the issue is and the outcome you want to achieve by resolving it.

For example, if your company currently manufactures 50 widgets a day, but you’ve started processing orders for 75 widgets a day, you could simply say you have a production deficit.

However, the problem solving process will prove far more valuable if you define the start and end point by clarifying that production is running short by 25 widgets a day, and you need to increase daily production by 50%.

Once you know where you’re at and where you need to end up, these five steps will take you from Point A to Point B:

• Figure out what’s causing the problem . You may need to gather knowledge and evaluate input from different documents, departments, and personnel to isolate the factors that are contributing to your problem. Knowledge visualization software like MindManager can help.
• Come up with a few viable solutions . Since hitting on exactly the right solution – right away – can be tough, brainstorming with your team and mapping out various scenarios is the best way to move forward. If your first strategy doesn’t pan out, you’ll have others on tap you can turn to.
• Choose the best option . Decision-making skills, and software that lets you lay out process relationships, priorities, and criteria, are invaluable for selecting the most promising solution. Whether it’s you or someone higher up making that choice, it should include weighing costs, time commitments, and any implementation hurdles.
• Put your chosen solution to work . Before implementing your fix of choice, you should make key personnel aware of changes that might affect their daily workflow, and set up benchmarks that will make it easy to see if your solution is working.
• Evaluate your outcome . Now comes the moment of truth: did the solution you implemented solve your problem? Do your benchmarks show you achieved the outcome you wanted? If so, congratulations! If not, you’ll need to tweak your solution to meet your problem solving goal.

In practice, you might not hit a home-run with every solution you execute. But the beauty of a repeatable process like problem solving is that you can carry out steps 4 and 5 again by drawing from the brainstorm options you documented during step 2.

Examples of problem solving scenarios

The best way to get a sense of how the problem solving process works before you try it for yourself is to work through some simple scenarios.

Here are three examples of how you can apply business problem solving techniques to common workplace challenges.

Scenario #1: Manufacturing

Building on our original manufacturing example, you determine that your company is consistently short producing 25 widgets a day and needs to increase daily production by 50%.

Since you’d like to gather data and input from both your manufacturing and sales order departments, you schedule a brainstorming session to discover the root cause of the shortage.

After examining four key production areas – machines, materials, methods, and management – you determine the cause of the problem: the material used to manufacture your widgets can only be fed into your equipment once the machinery warms up to a specific temperature for the day.

Your team comes up with three possible solutions.

• Leave your machinery running 24 hours so it’s always at temperature.
• Invest in equipment that heats up faster.
• Find an alternate material for your widgets.

After weighing the expense of the first two solutions, and conducting some online research, you decide that switching to a comparable but less expensive material that can be worked at a lower temperature is your best option.

You implement your plan, monitor your widget quality and output over the following week, and declare your solution a success when daily production increases by 100%.

Scenario #2: Service Delivery

Business training is booming and you’ve had to onboard new staff over the past month. Now you learn that several clients have expressed concern about the quality of your recent training sessions.

After speaking with both clients and staff, you discover there are actually two distinct factors contributing to your quality problem:

• The additional conference room you’ve leased to accommodate your expanding training sessions has terrible acoustics
• The AV equipment you’ve purchased to accommodate your expanding workforce is on back-order – and your new hires have been making do without

You could look for a new conference room or re-schedule upcoming training sessions until after your new equipment arrives. But your team collaboratively determines that the best way to mitigate both issues at once is by temporarily renting the high-quality sound and visual system they need.

Using benchmarks that include several weeks of feedback from session attendees, and random session spot-checks you conduct personally, you conclude the solution has worked.

Scenario #3: Marketing

You’ve invested heavily in product marketing, but still can’t meet your sales goals. Specifically, you missed your revenue target by 30% last year and would like to meet that same target this year.

After collecting and examining reams of information from your sales and accounting departments, you sit down with your marketing team to figure out what’s hindering your success in the marketplace.

Determining that your product isn’t competitively priced, you map out two viable solutions.

• Hire a third-party specialist to conduct a detailed market analysis.
• Drop the price of your product to undercut competitors.

Since you’re in a hurry for results, you decide to immediately reduce the price of your product and market it accordingly.

When revenue figures for the following quarter show sales have declined even further – and marketing surveys show potential customers are doubting the quality of your product – you revert back to your original pricing, revisit your problem solving process, and implement the market analysis solution instead.

With the valuable information you gain, you finally arrive at just the right product price for your target market and sales begin to pick up. Although you miss your revenue target again this year, you meet it by the second quarter of the following year.

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Problem Solving

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Problem solving is a crucial skill in both personal and professional settings. Whether it’s addressing a personal challenge or drafting a business problem solving proposal , the ability to identify a problem and develop a solution is essential. Writing a problem solving essay helps articulate the issue clearly and systematically outline potential solutions. Effective problem and solution involves critical thinking, creativity, and a structured approach to overcome obstacles and achieve goals.

What is Problem Solving?

Problem solving is the process of identifying a challenge, analyzing its components, and finding an effective solution. It involves critical thinking, creativity, and the application of various techniques and tools.

Examples of Problem Solving

• Analytical Thinking : Breaking down complex problems into manageable parts.
• Creativity : Developing innovative solutions to problems.
• Critical Thinking : Evaluating information and arguments to make a reasoned decision.
• Decision-Making : Choosing the best course of action from various alternatives.
• Research : Gathering relevant information to understand and solve a problem.
• Communication : Clearly conveying ideas and solutions to others.
• Collaboration : Working effectively with others to solve problems.
• Time Management : Prioritizing tasks to efficiently address problems.
• Adaptability : Adjusting strategies as new information or challenges arise.
• Attention to Detail : Ensuring all aspects of a problem are considered.
• Logical Reasoning : Using logic to identify solutions and predict outcomes.
• Empathy : Understanding others’ perspectives to create more effective solutions.
• Negotiation : Finding mutually acceptable solutions through discussion.
• Conflict Resolution : Addressing and resolving disagreements.
• Patience : Remaining calm and persistent when solving complex problems.
• Organization : Structuring tasks and information systematically.
• Leadership : Guiding and motivating a team to solve problems.
• Decision Analysis : Evaluating the potential impact of different solutions.
• Project Management : Planning and executing solutions effectively.
• Technical Skills : Using specialized knowledge to solve technical problems.
• Customer Service : Resolving customer issues effectively and efficiently.
• Risk Management : Identifying and mitigating potential problems.
• Innovation : Implementing new ideas to solve existing problems.
• Strategic Planning : Developing long-term solutions and plans.
• Resourcefulness : Finding quick and clever ways to overcome difficulties.
• Stress Management : Handling pressure while solving problems.
• Observation : Noticing subtle details that could be key to solving a problem.
• Data Analysis : Interpreting data to inform problem-solving decisions.
• Flexibility : Being open to new approaches and changing plans when necessary.
• Self-Assessment : Reflecting on your own problem-solving process to improve future performance.

Problem-Solving Examples for Students

1. math word problems.

Problem: Jane has 3 apples, and she buys 4 more apples from the store. How many apples does she have now?

• Understand the problem: Jane starts with 3 apples and buys 4 more.
• Break it down: 3 apples (initial) + 4 apples (additional).
• Solve: 3 + 4 = 7.
• Answer: Jane has 7 apples.

2. Group Project Coordination

Problem: A group of students needs to complete a science project, but they are having trouble coordinating their schedules.

• Understand the problem: The main issue is scheduling conflicts.
• Break it down: Identify each member’s available times.
• Research: Use tools like Doodle or Google Calendar to find common free times.
• Brainstorm solutions: Propose meeting during lunch breaks or weekends.
• Evaluate: Choose the most convenient and feasible option for everyone.
• Develop an action plan: Set a recurring meeting time and delegate tasks.
• Implement: Start meeting and working on the project according to the plan.
• Monitor and review: Adjust schedules if conflicts arise and keep track of progress.

3. Essay Writing

Problem: A student struggles to start writing an essay on a given topic.

• Understand the problem: The difficulty is starting the essay.
• Break it down: Identify the essay topic, main points, and required structure.
• Research: Gather information and resources related to the topic.
• Brainstorm solutions: Create an outline, jot down ideas, and decide on the thesis statement.
• Evaluate: Choose the most compelling points and organize them logically.
• Develop an action plan: Write a draft based on the outline, then revise and edit.
• Implement: Begin writing the introduction, followed by the body paragraphs and conclusion.
• Monitor and review: Proofread the essay and make necessary corrections.

4. Time Management

Problem: A student has trouble managing time between homework, extracurricular activities, and leisure.

• Understand the problem: The issue is balancing multiple responsibilities.
• Break it down: Identify all tasks and time commitments.
• Research: Look for time management techniques and tools.
• Brainstorm solutions: Use planners, to-do lists, or apps like Trello or Todoist.
• Evaluate: Choose the most effective tool and technique.
• Develop an action plan: Create a weekly schedule, prioritizing tasks by importance and deadlines.
• Implement: Follow the schedule and adjust as necessary.
• Monitor and review: Reflect on the effectiveness of the schedule and make improvements.

5. Conflict Resolution

Problem: Two students have a disagreement over a shared locker space.

• Understand the problem: The conflict is about sharing limited space.
• Break it down: Identify each student’s concerns and needs.
• Research: Look into conflict resolution strategies.
• Brainstorm solutions: Propose solutions like dividing the locker into specific sections or creating a rotation schedule.
• Evaluate: Choose the fairest and most practical solution.
• Develop an action plan: Agree on the solution and set guidelines.
• Implement: Follow the agreed plan and make adjustments if needed.
• Monitor and review: Ensure both students are satisfied with the arrangement and resolve any further issues.

Problem-Solving Examples in Real-life

Example 1: workplace conflict.

Situation : Two team members have a disagreement that affects their productivity.

• Identify the Problem : Understand the root cause of the conflict.
• Analyze : Talk to both parties separately to get their perspectives.
• Generate Solutions : Consider solutions like mediation, reassignment of tasks, or team-building exercises.
• Evaluate : Assess which solution is likely to resolve the conflict without affecting team morale.
• Implement : Arrange a mediation session.
• Review : Follow up to ensure the conflict is resolved and monitor team dynamics.

Example 2: Personal Finance Management

Situation : Struggling to manage monthly expenses and savings.

• Identify the Problem : Determine specific areas where overspending occurs.
• Analyze : Review bank statements and categorize expenses.
• Generate Solutions : Create a budget, reduce unnecessary expenses, and set savings goals.
• Evaluate : Choose a budgeting method that fits your lifestyle.
• Implement : Start tracking expenses and adjust spending habits.
• Review : Regularly review your budget and savings to ensure you are on track.

How to Improve Your Problem-Solving Skills?

Understand the Problem: Before attempting to solve any problem, it’s crucial to fully understand it. Read through the problem statement carefully and make sure you grasp every detail.

Break It Down : Divide the problem into smaller, more manageable parts. This approach, known as decomposition, makes it easier to tackle complex issues by focusing on individual components one at a time.

Research and Gather Information : Collect all relevant information and data that might help in solving the problem. Look for similar problems and their solutions.

Brainstorm Possible Solutions : Generate as many potential solutions as possible. Don’t worry about evaluating them at this stage; the goal is to think creatively and come up with a wide range of ideas.

Evaluate and Select the Best Solution : Assess the feasibility, pros, and cons of each potential solution. Consider factors such as resources, time, and potential risks. Choose the solution that best addresses the problem and is most practical.

Develop an Action Plan : Create a detailed plan for implementing your chosen solution. Outline the steps you need to take, assign tasks if working in a team, and set deadlines to ensure timely progress.

Implement the Solution : Put your plan into action. Stay focused and be prepared to adapt if necessary. Keep track of your progress and make adjustments as needed.

Monitor and Review : After implementing the solution, monitor the results to ensure the problem is resolved. Evaluate the outcome and review the process to learn from any mistakes or successes.

Problem-solving in workplace

• Enhancing Efficiency : Quick and effective problem resolution can streamline processes and reduce downtime.
• Boosting Productivity : Employees who can solve problems independently help maintain workflow and productivity.
• Improving Customer Satisfaction : Solving customer issues promptly can lead to higher satisfaction and loyalty.
• Fostering Innovation : Problem-solving often leads to new ideas and improvements that drive innovation.
• Promoting Employee Development : Encouraging problem-solving helps employees grow and develop their skills.

How To Highlight Problem-Solving Skills?

1. on your resume.

When listing problem-solving skills on your resume, provide concrete examples. Use action verbs and quantify your achievements where possible.

• Resolved a customer service issue that increased customer satisfaction by 20%.
• Developed a new process that reduced production errors by 15%.

2. In a Cover Letter

Your cover letter is a great place to elaborate on your problem-solving abilities. Describe a specific situation where you successfully addressed a challenge.

“In my previous role at XYZ Company, I identified a bottleneck in our production line. I conducted a thorough analysis and implemented a new workflow, which reduced production time by 25% and saved the company $50,000 annually.”

3. During an Interview

Be prepared to discuss your problem-solving skills in depth during an interview. Use the STAR (Situation, Task, Action, Result) method to structure your responses.

Example: “Can you give an example of a time when you solved a difficult problem at work?”

• Situation: Our sales team was struggling with declining numbers.
• Task: I was tasked with identifying the root cause and finding a solution.
• Action: I analyzed sales data, conducted team meetings, and identified a lack of training as the main issue.
• Result: I organized comprehensive training sessions, which led to a 30% increase in sales over the next quarter.

4. On Social Media and Professional Profiles

Highlight problem-solving skills on LinkedIn and other professional profiles. Share posts or articles about your problem-solving experiences and successes.

“I’m thrilled to share that I recently led a project to overhaul our customer service protocol, resulting in a 40% reduction in response time and a significant boost in customer satisfaction!”

5. In Performance Reviews

During performance reviews, make sure to emphasize your problem-solving contributions. Provide specific examples and outcomes.

“In the past year, I resolved three major project roadblocks, enabling our team to meet all deadlines and exceed our performance goals.”

6. Through Projects and Case Studies

If applicable, create case studies or detailed project descriptions that showcase your problem-solving process and results. This can be particularly useful for portfolios or presentations.

Case Study: Improving IT System Efficiency

• Problem: Frequent system downtimes affecting productivity.
• Solution: Implemented a new monitoring system and revised maintenance schedules.
• Outcome: System downtimes were reduced by 50%, significantly improving productivity.

7. By Demonstrating Soft Skills

Problem-solving often involves other soft skills such as communication, creativity, and teamwork. Highlighting these related skills can further emphasize your ability to solve problems effectively.

“By fostering open communication within my team and encouraging creative brainstorming sessions, we were able to devise innovative solutions to our most pressing challenges.”

How to Answer Problem-Solving Interview Questions

• Understand the Question : Make sure you fully understand the problem before you try to solve it. Ask clarifying questions if needed to ensure you have all the relevant information.
• Think Aloud : Demonstrate your thinking process by explaining your thoughts as you work through the problem. This shows your interviewer how you approach problems and organize your thoughts.
• Break It Down : Divide the problem into smaller, manageable parts. This can make a complex issue seem more approachable and allows you to tackle each component systematically.
• Use a Structured Approach : Employ frameworks or methodologies that are relevant to the question. For example, you might use the STAR method (Situation, Task, Action, Result) for behavioral questions, or a simple problem-solving framework like Define, Measure, Analyze, Improve, Control (DMAIC) for process improvements.
• Be Creative : Employers often look for creativity in your answers. Think outside the box and propose innovative solutions when appropriate.
• Prioritize Solutions : If there are multiple potential solutions, discuss the pros and cons of each and explain why you would choose one over the others.
• Stay Calm and Positive : Problem-solving under pressure is part of the test. Maintain a calm and positive demeanor, showing that you can handle stress effectively.
• Summarize Your Steps : After you have worked through the problem, summarize the steps you took and the conclusion you reached. This helps ensure the interviewer followed your process and underscores your methodical approach.
• Ask for Feedback : After presenting your solution, it can be beneficial to ask if there are any additional factors you might consider. This shows openness to learning and adapting.
• Practice Regularly : Like any skill, problem-solving improves with practice. Regularly engage in brain teasers, logic puzzles, or case studies to sharpen your skills.

Why Are Problem-Solving is Important?

• Effective Decision-Making : Problem-solving is essential for making decisions that are logical, informed, and well-considered. This skill helps individuals and organizations make choices that lead to better outcomes.
• Innovation and Improvement : Solving problems effectively often requires innovative thinking. This can lead to new ideas and improvements in processes, products, and services, which are essential for business growth and adaptation.
• Handling Complex Situations : Many roles involve complex situations that are not straightforward to manage. Problem-solving skills enable individuals to dissect these situations and devise effective strategies to deal with them.
• Enhances Productivity : Efficient problem-solving contributes to higher productivity, as it allows for the identification and removal of obstacles that impede workflow and performance.
• Career Advancement : Individuals who are effective problem solvers are often seen as leaders and can advance more quickly in their careers. This skill is valuable because it demonstrates the ability to handle difficult situations and complex challenges.
• Adaptability and Resilience : Problem-solving is key to adapting to new situations and overcoming challenges. Those who can creatively navigate through difficulties are generally more resilient.
• Quality of Life : On a personal level, strong problem-solving skills can improve one’s quality of life by enabling better management of the challenges that come with daily living.
• Team Collaboration : Problem-solving often requires collaboration. Being good at solving problems can improve your ability to work with others, as it involves communication, persuasion, and negotiation skills.

How to Include Problem-Solving in a Job Application

• Resume : Detail specific problem-solving instances in your job descriptions using action verbs like “analyzed” and “implemented”. Mention the positive outcomes achieved.
• Cover Letter : Narrate a specific instance where your problem-solving skills led to a successful outcome, demonstrating initiative and effectiveness.
• Skills Section : Include “problem-solving” in a skills section if the job ad specifically mentions it.
• Quantify Achievements : Use numbers to describe the impact of your solutions, such as cost savings or efficiency improvements.
• Job Interviews : Prepare to discuss specific examples of your problem-solving skills, focusing on the challenge, your action, and the result.
• References : Brief your references about your problem-solving achievements so they can provide specific examples when contacted by employers.

Tips for Enhancing Problem-Solving

• Practice Regularly: Like any skill, problem-solving improves with regular practice. Engage in activities that challenge your thinking, such as puzzles, games, or real-world problem-solving scenarios.
• Learn from Others: Study how others approach and solve problems. This can provide new strategies and perspectives that you can incorporate into your own problem-solving toolkit.
• Stay Calm and Positive: Maintaining a calm and positive mindset can significantly improve your ability to solve problems. Stress and negativity can cloud your judgment and hinder creative thinking.
• Develop Critical Thinking: Sharpen your critical thinking skills by questioning assumptions, analyzing information, and evaluating evidence. This will help you make more informed and logical decisions.
• Collaborate with Others: Working with others can bring new insights and ideas. Collaboration can also help you see the problem from different angles and develop more effective solutions.
• Keep Learning: Continuously expand your knowledge and skills. The more you know, the better equipped you are to tackle a variety of problems.

How can I improve my problem-solving skills?

Practice regularly, learn various problem-solving techniques, and engage in activities that challenge your thinking.

What are common problem-solving techniques?

Common techniques include brainstorming, root cause analysis, the 5 Whys, and SWOT analysis.

What are the steps in the problem-solving process?

Identify the problem, analyze the problem, generate solutions, select a solution, implement, and evaluate.

How do I demonstrate problem-solving skills in an interview?

Discuss specific situations where you effectively solved problems, highlighting your thought process and outcomes.

What’s the difference between critical thinking and problem-solving?

Critical thinking involves analyzing and evaluating information, while problem-solving focuses on finding solutions to problems.

How do problem-solving skills help in leadership?

They enable leaders to manage challenges effectively, inspire innovation, and guide teams through obstacles.

How to measure problem-solving skills?

Assess through scenarios or challenges that require identifying, analyzing, and resolving problems.

What role does creativity play in problem-solving?

Creativity enables out-of-the-box thinking, which can lead to innovative and effective solutions.

How do you use problem-solving in project management?

Apply it to anticipate potential issues, plan solutions, and ensure smooth project execution.

What’s an example of a problem-solving situation?

Resolving customer complaints by identifying the issue, brainstorming solutions, and implementing changes to prevent future complaints.

Text prompt

• Instructive
• Professional

10 Examples of Public speaking

20 Examples of Gas lighting

10 Everyday uses for Problem Solving Skills

• Problem Solving & Decision Making Real world training delivers real world results. Learn More

Many employers are recognizing the value and placing significant investments in developing the problem solving skills of their employees.  While we often think about these skills in the work context, problem solving isn’t just helpful in the workplace.  Here are 10 everyday uses for problem solving skills that can you may not have thought about

1. Stuck in traffic and late for work, again

With busy schedules and competing demands for your time, getting where you need to be on time can be a real challenge.  When traffic backs up, problem solving skills can help you figure out alternatives to avoid congestion, resolve the immediate situation and develop a solution to avoid encountering the situation in the future.

2. What is that stain on the living room carpet?

Parents, pet owners and spouses face this situation all the time.  The living room carpet was clean yesterday but somehow a mysterious stain has appeared and nobody is claiming it.  In order to clean it effectively, first you need to figure out what it is.  Problem solving can help you track down the culprit, diagnose the cause of the stain and develop an action plan to get your home clean and fresh again.

3. What is that smell coming from my garden shed?

Drawing from past experiences, the seasoned problem solver in you suspects that the source of the peculiar odor likely lurks somewhere within the depths of the shed. Your challenge now lies in uncovering the origin of this scent, managing its effects, and formulating a practical plan to prevent such occurrences in the future.

4. I don’t think the car is supposed to make that thumping noise

As with many problems in the workplace, this may be a situation to bring in problem solving experts in the form of your trusted mechanic.  If that isn’t an option, problem solving skills can be helpful to diagnose and assess the impact of the situation to ensure you can get where you need to be.

5. Creating a budget

Tap into your problem-solving prowess as you embark on the journey of budgeting. Begin by determining what expenses to include in your budget, and strategize how to account for unexpected financial surprises. The challenge lies in crafting a comprehensive budget that not only covers your known expenses but also prepares you for the uncertainties that may arise.

6. My daughter has a science project – due tomorrow

Sometimes the challenge isn’t impact, its urgency.  Problem solving skills can help you quickly assess the situation and develop an action plan to get that science project done and turned in on time.

7. What should I get my spouse for his/her birthday?

As with many problems, this one may not have a “right answer” or apparent solution.  Its time to apply those problem solving skills to evaluate the effects of past decisions combined with current environmental signals and available resources to select the perfect gift to put a smile on your significant other’s face.

8. The office printer suddenly stopped working, and there are important documents that need to be printed urgently.

Uh oh, time to think quickly.  There is an urgent situation that must be addressed to get things back to normal, a cause to be identified (what’s causing the printer issue), and an action plan to resolve it.  Problem solving skills can help you avoid stress and ensure that your documents are printed on time.

9. I’m torn between two cars! Which one should I choose?

In a world brimming with countless choices, employ decision analysis as your trusty tool to navigate the sea of options. Whether you’re selecting a car (or any other product), the challenge is to methodically identify and evaluate the best choices that align with your unique needs and preferences.

10. What’s for dinner?

Whether you are planning to eat alone, with family or entertaining friends and colleagues, meal planning can be a cause of daily stress.  Applying problem solving skills can put the dinner dilemma into perspective and help get the food on the table and keep everyone happy.

Problem Solving skills aren’t just for the workplace – they can be applied in your everyday life.  Kepner-Tregoe can help you and your team develop your problem solving skills through a combination of training and consulting with our problem solving experts.

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Defcon AI closes $44M seed round to solve a problem of ‘maximum complexity’: Military logistics

The U.S. Department of Defense is a mammoth organization. It not only employs millions of service members and hundreds of thousands of civilian employees, but also has the world’s largest military budget that’s used to buy and maintain more equipment than can likely fit into a single paragraph. 

It’s a lot to coordinate. Operators within the various agencies of the DOD must make decisions about how to plan their operations, coordinate resources and stay within budget for events that are likely contested — whether that’s from a hurricane or an adversary.

Two years after it was incubated, Virginia-based startup Defcon AI has raised a $44 million seed round led by Bessemer Venture Partners, with participation from Fifth Growth Fund and Red Cell Partners, among others, to solve this seemingly intractable problem.

Consider the Air Mobility Command, a command of the U.S. Air Force. When operators plan airlifts, they have to consider a whole slew of variables: available aircraft, the number of crews required, places for crews to rest, where to refuel, relevant airfields, cargo handling locations. Defcon AI says it has developed a set of software that allows the operator on the front end set these parameters “and then turn the software loose,” Defcon’s co-founder, chief strategy officer and retired U.S. Air Force General Paul Selva told TechCrunch. The software essentially operates against those parameters or inputs to generate the best plan — including the cost tables, resource requirements and schedule. 

This type of planning is difficult enough in the best of circumstances, but during a crisis, defense operators don’t even have the luxury of a day to allocate their resources. That’s where Defcon AI comes in.

“I’ve had all the jobs that we’re actually impacting,” Selva said. During his long military career, Selva held many titles, including the commander of the Air Mobility Command, which oversees nearly all of the Air Force’s fleet of air lift aircraft. He later became the commander of the U.S. Transportation Command, which coordinates transportation missions around the world, including those delivered by ships, trucks, trains and other forms of transportation. Before he retired in 2019, he was nominated by President Barack Obama to be the vice chairman of the Joint Chiefs of Staff. 

He co-founded Defcon in 2022 with Yisroel Brumer and Grant Verstandig, both founding partners of Red Cell Partners (Verstandig is also CEO). Red Cell has an interesting model: The firm makes internal investments but it also incubates companies (including Defcon), often identifying promising entrepreneurs that could lead them. Sometimes, entrepreneurs approach Red Cell before they found a company, and the firm handles things like board building, legal, HR and finance while the company grows. 

In the case of Defcon, Selva says that the company got started “because Air Mobility Command articulated a mission need that wasn’t being filled by industry.” The trio “had a conversation about whether or not we thought this was a tractable problem, and … our intuition was it is a mathematically and software tractable problem, but we have to do it a different way.” 

Brumer and Verstandig have their own impressive pedigrees. Before joining Red Cell, Brumer worked at the Pentagon as acting director of OSD/CAPE (Office of the Secretary of Defense, Cost Assessment and Program Evaluation), an enormous role that essentially functions as the “chief analytics officer” for the DOD, he said, and the overseer for the budget submission process. Verstandig is an entrepreneur who has incubated or grown businesses including Rally Health and defense startup Epirus. 

Defcon AI is targeting a problem of “maximal complexity,” Brumer said. The startup’s system combines different algorithms, including machine learning and mathematical optimization algorithms, to simulate a given scenario and generate the best logistical outcome to meet it. In the initial stages of product development, Defcon used reinforcement learning algorithms that don’t require data, but the company says it is now ingesting more and more data provided by the DOD to power the software. Operators can also choose whether to have the system simulate how an adversary might disrupt the operations, and can tell it to optimize for different variables, like speed versus cost effectiveness.

The company has earned around $15 million in government contracts and delivered a production version that was deployed for a real-world operation with Air Mobility Command less than two years after founding. The company is in the process right now of certifying the software to handle classified, secret information, both to expand its uses in the DOD and to enable it to ingest even more data. It’s also expanding to include trucks, trains and ships to its planning and simulation software.

Defcon is not planning on slowing down. The company sees even more applications across the DOD where its software can make an operational difference, and Brumer said they’re seeing “a very strong demand signal” from the private sector for the product too. Overall, the company says working closely with the end users will result in a better product and a genuine competitive edge in adversarial situations.

“Operational planners are actually trying to assess risk for their commanders,” Selva said. “They’re probably the most skeptical audience for decision support tools, so the extent to which you can partner with them you achieve a better outcome.” 

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Ensemble of physics-informed neural networks for solving plane elasticity problems with examples

• Original Paper
• Published: 29 August 2024

Cite this article

• Aliki D. Mouratidou   ORCID: orcid.org/0000-0002-8382-1263 1 ,
• Georgios A. Drosopoulos 2 , 3 &
• Georgios E. Stavroulakis 1  

Two-dimensional (plane) elasticity equations in solid mechanics are solved numerically with the use of an ensemble of physics-informed neural networks (PINNs). The system of equations consists of the kinematic definitions, i.e. the strain–displacement relations, the equilibrium equations connecting a stress tensor with external loading forces and the isotropic constitutive relations for stress and strain tensors. Different boundary conditions for the strain tensor and displacements are considered. The proposed computational approach is based on principles of artificial intelligence and uses a developed open-source machine learning platform, scientific software Tensorflow, written in Python and Keras library, an application programming interface, intended for a deep learning. A deep learning is performed through training the physics-informed neural network model in order to fit the plain elasticity equations and given boundary conditions at collocation points. The numerical technique is tested on an example, where the exact solution is given. Two examples with plane stress problems are calculated with the proposed multi-PINN model. The numerical solution is compared with results obtained after using commercial finite element software. The numerical results have shown that an application of a multi-network approach is more beneficial in comparison with using a single PINN with many outputs. The derived results confirmed the efficiency of the introduced methodology. The proposed technique can be extended and applied to the structures with nonlinear material properties.

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Abadi, M., Barham, P., Chen, J., Chen, Z., Davis, A., Dean, J., Devin, M., Ghemawat, S., Irving, G., Isard, M., Kudlur, M., Levenberg, J., Monga, R., Moore, S., Murray, D.G., Steiner, B., Tucker, P., Vasudevan, V., Warden, P., Wicke, M., Yu, Y., Zheng, X.: Tensorflow: a system for large-scale machine learning. In: 12th USENIX Symposium on Operating Systems Design and Implementation (OSDI 16), USENIX Association, Savannah, GA, pp. 265-283. URL https://www.usenix.org/conference/osdi16/technical-sessions/presentation/abadi. (2016)

Baydin, A., Pearlmutter, B.A., Radul, A.A., Siskind, J.M.: Automatic differentiation in machine learning: a survey. J. Mach. Learn. Res. 18 , 1 (2018)

MathSciNet   Google Scholar  

Bazmara, M., Mianroodi, M., Silani, M.: Application of physics-informed neural networks for nonlinear buckling analysis of beams. Acta. Mech. Sin. 39 , 422438 (2023)

Article   MathSciNet   Google Scholar  

Cai, S., Mao, Z., Wang, Z., Yin, M., Karniadakis, G.E.: Physics-informed neural networks (PINNs) for fluid mechanics: a review. Acta Mech. Sin. 37 , 1–12 (2022)

Chadha, C., He, J., Abueidda, D., Koric, S., Guleryuz, E., Jasiuk, I.: Improving the accuracy of the deep energy method. Acta Mech. 234 , 5975–5998 (2023)

Chen, Y., Lu, L., Karniadakis, G.E., Dal Negro, L.: Physics-informed neural networks for inverse problems in nano-optics and metamaterials. Opt. Express 28 (8), 11618–11633 (2020)

Article   Google Scholar  

Chollet, F.: Deep learning with python, Manning Publications Company, URL https://books.google.ca/books?id= Yo3CAQAACAAJ (2017)

Drosopoulos, G.A., Stavroulakis, G.E.: Non-linear mechanics for composite. In: Heterogeneous Structures, CRC Press, Taylor and Francis (2022)

Drosopoulos, G.A., Stavroulakis, G.E.: Data-driven computational homogenization using neural networks: FE2-NN application on damaged masonry. ACM J. Comput. Cult. Herit. 14 , 1–19 (2020)

Google Scholar  

Faroughi, S., Darvishi, A., Rezaei, S.: On the order of derivation in the training of physics-informed neural networks: case studies for non-uniform beam structures. Acta Mech. 234 , 5673–5695 (2023)

Faroughi, S.A., Pawar, N., Fernandes, C., Raissi, M., Das, S., Kalantari, N.K., Mahjour, S.K.: Physics-guided, physics-informed, and physics-encoded neural networks. Sci. Comput. (2023). https://doi.org/10.48550/arXiv.2211.07377

Fletcher, R.: Practical methods of optimization, 2nd edn. John Wiley & Sons, New York (1987)

Güne, A., Baydin, G., Pearlmutter, B.A., Siskind, J.M.: Automatic differentiation in machine learning: a survey, J. Mach. Learn. Res. 18 , 1-43, (2018) URL http://www.jmlr.org/papers/volume18/17-468/17-468.pdf

Guo, M., Haghighat, E.: An energy-based error bound of physics-informed neural network solutions in elasticity. J. Eng. Mech. (2020). https://doi.org/10.48550/arXiv.2010.09088

Haghighat, E., Juanes, R.: Sciann: a keras/tensorflow wrapper for scientific computations and physics-informed deep learning using artificial neural networks. Comp. Meth. Appl. Mech. Eng. 373 , 113552 (2021)

Haghighat, E., Raissi, M., Moure, A., Gomez, H., and Juanes, R.: A deep learning framework for solution and discovery in solid mechanics. https://arxiv.org/abs/2003.02751 (2020)

Harandi, A., Moeineddin, A., Kaliske, M., Reese, S., Rezaei, S.: Mixed formulation of physics-informed neural networks for thermo-mechanically coupled systems and heterogeneous domains. Int J Numer. Methods Eng. 125 , e7388 (2024)

Kadeethum, T., Jorgensen, T., Nick, H.: Physics-informed neural networks for solving nonlinear diffusivity and Biot’s equations. PLoS ONE 15 , e0232683 (2020)

Karniadakis, G.E., Kevrekidis, I.G., Lu, L., et al.: Physics-informed machine learning. Nat. Rev. Phys. 3 , 422–440 (2021)

Katsikis, D., Muradova, A.D., Stavroulakis, G.S.: A gentle introduction to physics-informed neural networks, with applications in static rod and beam problems. Jr. Adv. Appl. & Comput. Math. 9 , 103–128 (2022)

Kingma, D.P., Ba, J.: Adam: a method for stochastic optimization, computer science, mathematics. In: The International Conference on Learning Representations (ICLR) (2015)

Kortesis, S., Panagiotopoulos, P.D.: Neural networks for computing in structural analysis: methods and prospects of applications. Int. Jr. Numeric. Meth. Eng. 36 , 2305–2318 (1993)

Kovachki, N., Lanthaler, S., Mishra, S.: On universal approximation and error bounds for Fourier neural operator. J. Mach. Learn. Res. 22 , 1–76 (2021)

Lagaris, E., Likas, A., Fotiadis, D.I.: Artificial neural networks for solving ordinary and partial differential equations. IEEE Trans. Neural Netw. 9 , 987–1000 (1998)

Li, Z., Kovachki, N., Azizzadenesheli, K., Liu, B., Bhattacharya, K., Stuart, A., Anandkumar, A.: Fourier neural operator for parametric partial differential equations, arXiv preprint arXiv:2010.08895 (2020)

Liu, D.C., Nocedal, J.: On the limited memory BFGS method for large scale optimization. Math. Program. 45 , 503–528 (1989)

Lu, L., Jin, P., Pang, G., Zhang, Z., Karniadakis, G.E.: Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators. Nat. Mach. Intell. 3 , 218–229 (2021). https://doi.org/10.1038/s42256-021-00302-5

Meade, A.J., Fernandez, A.A.: The numerical solution of linear ordinary differential equations by feed-forward neural networks. Math. Comput. Model. 19 , 1–25 (1994). https://doi.org/10.1016/0895-7177(94)90095-7

Muradova, A.D., Stavroulakis, G.E.: Physics-informed neural networks for elastic plate problems with bending and Winkler-type contact effects. J. Serb. Soc. Comput. Mech. 15 , 45–54 (2021)

Muradova, A.D, Stavroulakis, G.E.: Physics-informed Neural Networks for the solution of unilateral contact problems. In: Book of Proceedings, 13th International Congress on Mechanics HSTAM, pp. 451-459. (2022). https://hstam2022.eap.gr/book-of-proceedings/

Muradova, A.D., Stavroulakis, G.E.: The projective-iterative method and neural network estimation for buckling of elastic plates in nonlinear theory. Commun. Nonlin. Sci. Num. Sim. 12 , 1068–1088 (2007)

Niu, S., Zhang, E., Bazilevs, Y., Srivastava, V.: Modeling finite-strain plasticity using physics-informed neural network and assessment of the network performance. J. Mech. Phys. Solids 172 , 105177 (2023)

Raissi, M., Perdikaris, P., Karniadakis, G.E.: Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations. J. Comput. Phys. 378 , 686–707 (2019)

Rezaei, S., Harandi, A., Moeineddin, A., Xu, B.-X., Reese, S.: A mixed formulation for physics-informed neural networks as a potential solver for engineering problems in heterogeneous domains: comparison with finite element method. Comput. Meth. Appl. Mech. Eng. 401 (Part B), 115616 (2022)

Ruder, S.: An overview of gradient descent optimization algorithms (2017) https://arxiv.org/abs/1609.04747

Shin, Y., Darbon, J., Karniadakis, G.E.: On the convergence of physics informed neural networks for linear second-order elliptic and parabolic type PDEs. Commun. Comput. Phys. 28 , 2042–2074 (2020)

Stavroulakis, G.E.: Inverse and crack identification problems in engineering mechanics. Springer, New York (2000)

Stavroulakis, G.E., Avdelas, A., Abdalla, K.M., Panagiotopoulos, P.D.: A neural network approach to the modelling, calculation and identification of semi-rigid connections in steel structures. J. Construct. Steel Res. 44 , 91–105 (1997)

Stavroulakis, G., Bolzon, G., Waszczyszyn, Z., Ziemianski, L.: Inverse analysis. In: Karihaloo, B., Ritchie, R.O., Milne, I. (eds) Comprehensive structural integrity, numerical and computational methods, vol. 3, Chap 13, pp. 685–718. Elsevier, Amsterdam (2003)

Tartakovsky, A. M., Marrero, C. O., Perdikaris, P., Tartakovsky, G. D., and Barajas- Solano D.: Learning parameters and constitutive relationships with physics informed deep neural networks. arXiv preprint arXiv:1808.03398 (2018)

Theocaris, P.S., Panagiotopoulos, P.D.: Plasticity including the Bauschinger effect, studied by a neural network approach. Acta Mech. 113 , 63–75 (1995). https://doi.org/10.1007/BF01212634

Waszczyszyn, Z., Ziemiański, L.: Neural networks in the identification analysis of structural mechanics problems. In: Mróz, Z., Stavroulakis, G.E. (eds.) Parameter identification of materials and structures, CISM International Centre for Mechanical Sciences (Courses and Lectures), p. 469. Springer, Vienna (2005)

Xiao, Y., Wei, Z., Wang, Z.: A limited memory BFGS-type method for large-scale unconstrained optimization. Comput. Math. Appl. 56 , 1001–1009 (2008)

Yagawa, G., Oishi, A.: Computational mechanics with neural networks. Springer, New York (2021)

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The work of A.D.M. and G.E.S. has been supported by the Project Safe-Aorta, which was implemented in the framework of the Action “Flagship actions in interdisciplinary scientific fields with a special focus on the productive fabric”, through the National Recovery and Resilience Fund Greece 2.0 and funded by the European Union-NextGenerationEU (Project ID:TAEDR-0535983)

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Aliki D. Mouratidou & Georgios E. Stavroulakis

Discipline of Civil Engineering, School of Engineering and Computing, University of Central Lancashire, Preston campus, Preston, PR1 2HE, UK

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Mouratidou, A.D., Drosopoulos, G.A. & Stavroulakis, G.E. Ensemble of physics-informed neural networks for solving plane elasticity problems with examples. Acta Mech (2024). https://doi.org/10.1007/s00707-024-04053-3

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DOI : https://doi.org/10.1007/s00707-024-04053-3

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Nvidia launches NIM Agent Blueprints to speed AI use

Nvidia introduced new microservice that helps enterprise developers deploy genai applications. it also introduced three blueprints for different use cases..

• Esther Ajao, News Writer

AI hardware and software vendor Nvidia Corp. launched a new NIM microservices on Tuesday that aim to speed up AI app development.

NIM Agent Blueprints is a catalog of pre-trained, customizable AI workflows that enterprise developers can use to build and deploy generative AI applications.

The first three NIM Agent Blueprints introduced are digital humans , or avatars for customer service; multimodal PDF Data Extraction for Enterprise Retrieval Augmented Generation; and Generative Virtual Screening for Drug Discovery.

NIM Agent Blueprints give developers a head start when creating applications with AI agents , Nvidia said.

Blueprints include sample applications built with Nvidia NeMo , Nvidia NIM, and partner microservices.

NIM Agent Blueprints follow a GenAI market trend where many enterprises seek to move from ideation to implementation.

Solving a GenAI problem

Despite being in the age of implementation of generative AI, enterprises are still dealing with challenges that keep them from being successful with their deployments of GenAI systems.

Thus, Nvidia NIM attempts to solve some of the problems enterprises face implementing GenAI technology , including the speed at which enterprises integrate GenAI workflows, said Chirag Dekate, an analyst with Gartner.

"It's about creating pluggable, modular components that enterprises can build off," Dekate added.

While Nvidia could have chosen to give developers AI tools to build their applications, with NIMs such as NIM Agent Blueprints, the vendor provides enterprises with pretrained models that allow them to move quicker in building generative AI products and services, Futurum Group analyst Olivier Blanchard said.

While this is cost-effective, it might not be what every enterprise needs, Blanchard said.

"For enterprises that are super unique, NIM might not be the model," he said. "They might start somewhere else first and then use them to build additional layers of capabilities or features on top of their other product."

What Nvidia is providing is not unique to GenAI technology, said Rob Enderle, an analyst with Enderle Group.

"Part of what's required to be successful in the market, you have to have a complete solution, not just the technology," Enderle said. "Initially, generative AI was a technology. What Nvidia is doing is turning it into a complete solution."

Nvidia is not the only vendor endeavoring to make generative AI more than just a technology.

AMD, a competitor to Nvidia, is one of the leading companies in the movement, Enderle said.

The vendor last week purchased ZT Systems along with several other companies, including Mipsology , an AI software startup in France, to help with AI inference capabilities.

Google, AWS and Microsoft also are building tools to help enterprises easily deploy GenAI systems.

Nvidia software services

NIM Agent Blueprints allows Nvidia to beef up its software services, making services such as NIMs available regardless of the cloud provider.

It's about creating pluggable, modular components that enterprises can build off. Chirag Dekate Analyst, Gartner

"This is part of the strategic plan that Nvidia is executing to essentially create a vertically integrated alternative no matter where customers are building their solutions at scale," Dekate said. "By enabling these building blocks, like NIM Blueprints, what Nvidia is essentially embedding is higher-level modular architectures that basically pull through the Nvidia stack no matter where you run them."

On Monday, Nvidia also introduced new CUDA libraries, including new LLM applications.

New LLM applications in CUDA include NeMo Curator and SDG, or synthetic data generation.

NeMo Curator is an application that helps developers create custom datasets in LLM use cases.

Synthetic data generation is an LLM application that augments existing datasets with synthetic data to fine-tune models and LLM applications.

Esther Ajao is a TechTarget Editorial news writer and podcast host covering artificial intelligence software and systems.

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Silicon Valley Wants to Fight Fires With Fire

How some high-tech entrepreneurs are trying to use new forms of technology to solve the problem of mega-wildfires in the age of climate change.

By Tim Fernholz

Photographs by Ian C. Bates

Tim Fernholz reported from Twain Harte, Calif.

This is the tinder box of the Sierra Nevada. It’s early June, the temperature is 97 degrees Fahrenheit and the air shimmers over dead trees choked in brush. In the Stanislaus National Forest, logging roads wind through firs and ponderosa pines, past 20-foot-tall burn piles — tons of scrap wood not worth bringing to a sawmill. They’ve been assembled by workers on the front line of the fight against forest fires: a timber crew thinning these woods for the U.S. Forest Service and a tech start-up that’s trying to automate the enormous machines the crew relies on.

They are called skidders: 10-foot-tall vehicles, on four massive wheels, with a bulldozer-like blade on the front and a tree-size grapple dangling from the back. They are the worker bees, hauling downed logs from the forest to landing sites where they are delimbed and loaded onto trucks bound for the sawmill. Usually, a single driver operates them for a 12-hour shift, grabbing logs from behind and then driving forward.

Engineers at the Sonora, Calif., start-up Kodama Systems, a forest management company, have hacked into a skidder built by John Deere, studded it with cameras and radar and plugged it into the internet. The result is a remote-controlled machine that does scut work for a timber crew and teaches itself to operate semiautonomously, using LiDar — or light detection and ranging — to map the forest.

Kodama has raised $12 million for a business that is driven by the reality that much of our forest land these days is stuffed with fuel just waiting to ignite. A few hundred miles from Stanislaus, a man drove a flaming car into a ditch in early August and started the Park Fire , which burned an area larger than the city of Los Angeles.

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