The Problem Solving (PS) section of the GMAT may not be as quirky as the Data Sufficiency section of the test – but that doesn’t mean you don’t need to study for it! PS questions require more “straight math” than Data Sufficiency questions; in other words, they’ll probably be more like the questions you’re used to seeing on high school and college math tests. The best way to study? Master the basic concepts from geometry, algebra, statistics, and arithmetic — then check out these 10 helpful tips!
1. Make sure your fundamentals are strong.
The GMAT doesn’t allow you to use a calculator—which means you need to be quick and accurate with basic calculations. Be able to multiply and divide decimals. Know common higher powers and roots. Have fractions down to a science: Knowing right away whether 3/8 is less than 5/12 will mean you have more time later to work on more complicated calculations.
2. Choose numbers wisely.
Even questions that don’t contain variables can still be tackled by choosing numbers wisely. For example, if a question asks you about “a multiple of 6,” it’s probably quicker to work with a particular multiple of 6 (say, 12) than the abstract “multiple of 6.” While studying, identify the kind of problems where this strategy can be applied.
3. Learn how to estimate.
Estimation is an important part of the PS section. Often, a question will test your ability not to compute, but rather to make reasonable approximations. For example, the fact that 11 goes into 56 a little more than 5 times means that 11/56 must be slightly less than 1/5, or 0.2.
4. Practice plugging in numbers for variables.
Know what problems this strategy is useful for—and how best to apply it. Remember to always choose your numbers wisely. If a problem asks you about “1/7 of n garbage trucks,” plug in a multiple of 7 for n. Try to avoid plugging in 0 or 1 in almost every case.
5. Be mindful of how you label your quantities
Whenever possible, give a label to the exact quantity that you’re trying to find, rather than, say, its square root. In other words, always be sure that the solution to the problem is also the solution to the equation you’ve set up. This will help avoid careless – and all too common – “last step” errors.
6. When the answer choices are numbers, they’re always in order.
If you know that the correct answer must be less than the value in choice C, you can immediately eliminate choices D and E (or choices A and B, if the answers are in decreasing order). Don’t guess randomly!
7. Use the answer choices in conjunction with one another.
If you’re stumped but you notice that three of the choices have a factor of ab, try to figure out where that factor comes from. If you know that the right answer choice should not have a factor of ab, eliminate all those choices in one fell swoop.
8. Commit the exponent rules to memory
Exponent rules are frequently tested on the Problem Solving section. Make sure to know what fractional exponents and negative exponents mean like the back of your hand. Also, be ready to answer answers about quantities with absolute values less than 1 being raised to odd and even powers.
9. PS questions have no extra information in the prompt.
Stuck on a question? Check to be sure you’ve used every fact supplied to you. Conversely, if you’ve solved a problem without using every fact, double-check your work; you probably haven’t solved the problem correctly.
10. Know the difference between “must be true” and “could be true.”
Be aware of how your approach would change for these two question types. Are there certain numbers you might want to plug in for one type but not for the other? Why or why not?
About Knewton
Knewton was a leading test prep company that helped thousands of GMAT test takers since 2008. As of 2014, Knewton has discontinued offering tutoring service.
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Winning MBA Essay Guide - A Complete Guide for M7 and Top 15 MBA Application Essays
F1GMAT's Winning MBA Essay guide will teach you how to transform your essay into a life journey with trials and tribulations that will move the admission team.
+ Over 245 Sample Essays (Read Previews of F1GMAT's Winning MBA Essay Guide Sample Essays here)
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Harvard MBA Essay Guide (20 Sample Essays)
Growth-Oriented Essay: Curiosity can be seen in many ways. Please share an example of how you have demonstrated curiosity and how that has influenced your growth. (up to 250 words)Example #1: Persistence Narrative
Background Information: The applicant – a design and music talent, shares her journey through several setbacks. She attributes curiosity to her growth.
Curiosity: Philosophy
Curiosity (Explained): Curiosity as a philosophy is tough to translate into a narrative unless you are from the creative industry or your contributions had an influence on a solution or an initiative.
MBA Essay Strategy: I wanted to capture the humanity of the applicant and her influence in music instead of just highlighting how she overcame multiple roadblocks to gain attention as a designer.
Theme: Persistence
Read: Harvard MBA Curiosity Essay – Life Starts at NO (Growth-Oriented HBS MBA Essay Example)Example #2: International Community Building
Background Information: The applicant, a Machine Learning (ML) entrepreneur specializing in healthcare diagnostics, shares how his curiosity to learn other ML algorithms’ evolution in diagnosing Alzheimer’s, cancer, and heart disease transformed his platform into a global community.
MBA Essay Strategy: I wanted to show the applicant’s contributions in diagnostic from 2020 to 2024 by citing two events. Such examples build credibility instead of engagements that were recent. The evolution of the platform from an AI development community to a community for discussing the application of AI in diagnostics is captured through a ‘curiosity’ angle.
Read: Harvard MBA Curiosity Essay – Growth through Collaboration (AI in Healthcare) (Growth-Oriented HBS MBA Essay Example)Example #3: Culture
Background Information: The applicant, an Entrepreneur from India narrates his first entrepreneurial experience – facilitating exchange of stamps in the late 1990s.
Theme: Culture
MBA Essay Strategy: Instead of addressing the biases in the investor community that could turn preachy, I wanted to focus on the applicant and his entrepreneurial journey by citing two entrepreneurial experiences – a platform(club) for stamp collection and his Grocery delivery App.
Read: Harvard MBA Curiosity Essay – The American Dream (Growth-Oriented HBS MBA Essay Example)Example #4: Addiction
Background Information: The applicant – a beneficiary of the foster home system, captures the sacrifice his adopted grandparents made to save him from a path of addiction. Paying it back through early intervention among teenagers and community engagement is the curiosity narrative.
Theme: Addiction
MBA Essay Strategy: My strategy is to capture a gratitude narrative in the first one-third of the essay to demonstrate motivation for starting the venture and dedicate the latter part of the essay to the unique solution
Read: Harvard MBA Curiosity Essay – Drug Addiction and Gaming (Growth-Oriented HBS MBA Essay Example)Example #5: Scarcity
Background Information: The applicant, an education major, recognizes that 70% of all students in Kenya don’t have a computer. The curiosity that drives him to pivot from one solution to another is the growth narrative.
Theme: Innovation
MBA Essay Strategy: Often, innovation is captured with a ‘hero’ narrative where the applicant is the sole originator of an idea. I wanted to break that cliché and include a person from whom the applicant learned to use a concept called ‘scaffolding.’
Read: Harvard MBA Curiosity Essay – Scarcity (Growth-Oriented HBS Essay Example)Example #6: FinTech
Background Information: The applicant captures a vulnerable moment of a beneficiary to compare his journey of side hustle before a technology giant noticed his talent. Although cryptocurrency is not a flavor for the year, capture niches where innovation is still happening.
Theme: Education, Child Welfare
MBA Essay Strategy: Empathizing with a techno solution is tough without a strong backstory around the beneficiary. For the essay, I wanted to clearly establish the beneficiary – Rami, before the applicant narrates the similarities to his journey and finally shares the solution that emerged from his curiosity.
Read: Harvard MBA Curiosity Essay – FinTech as a Tool for Good (Growth-Oriented HBS MBA Essay Example)Example #7: Learning from the best
Background Information: The applicant – a Remote Engineer in the Oil and Gas industry, reflects on a value that has helped her learn from the best regardless of her geographical limitations.
Theme: Learning
MBA Essay Strategy: The effectiveness of the case-study method depends on the assumption that peers in a Harvard MBA class will help elevate your learning experience. For the essay, I have highlighted the applicant’s recognition of this value proposition with three examples.
Read: Harvard MBA Curiosity Essay – Learning from the Best (Growth-Oriented HBS MBA Essay Example)Example #8: Military & Search for IMPACT
Background Information: The most common narrative for US military applicants is to quote 9/11 and the reaction your immediate family had while watching the events unfold. The horrifying moment is captured as a motivation to join the Military. On digging deeper, most applicants would share that their motivations were diverse.
Theme: Career Choice
MBA Essay Strategy: I wanted to quickly highlight that the applicant had the choice of entering any industry. One achievement to demonstrate his curiosity that I shared in the first half is the invention of a game. Since the game is mentioned in the resume and verifiable through search, I didn’t quote the name. By clearly highlighting the person’s curiosity and career options, the family legacy is used as a factor in joining the military.
Read: Harvard MBA Curiosity Essay – Career Choice after a Military Career (Growth-Oriented HBS MBA Essay Example)
Leadership-Focused Essay: What experiences have shaped who you are, how you invest in others, and what kind of leader you want to become? (up to 250 words)Example #9: Small Business Values
Background Information: The applicant - a second-generation Asian American, is familiar with the values of fiscal conservatism, building relationships, and understanding the daily struggles of the community through his family’s department store.
Theme: Customer-Centric
MBA Essay Strategy: The applicant’s role in developing an App for the store is highlighted in the essay at a crucial part of the narrative so that the essay is not all about his father. I have also humanized the journey – by sharing how upset the father was when the revenues fell by 40%. The essay is about the transformation in the applicant’s value from a person chasing productivity and optimization technique to someone who is truly thinking about the customers.
Read: Harvard MBA Leadership Essay – Small Business Values (Leadership-Focused HBS MBA Essay Example)Example #10: Breaking Away from Family Business
Background Information: A unique challenge that applicants whose parents are public figures or CXOs of businesses or entrepreneurs are the pressure to live up to the parent’s standards or milestones. For the leadership narrative, the burden of legacy is established before the narrative addresses his leadership principles.
Theme: Authenticity
MBA Essay Strategy: For the essay, I want to capture an entrepreneur’s journey to rise above his entrepreneur father’s image. But I didn’t want to make the entire essay about this complex dynamics. The narrative is around the applicant’s focus on customers and surrounding with teams who keeps him grounded.
Read: Harvard MBA Leadership Essay – Breaking Away from Family Business(Leadership-Focused HBS MBA Essay Example)Example #11: Creativity and Communication
Background Information: When the overall percentage of users with internet access is 62% in South Africa and the inequality accentuated by the rural and urban divide, the applicant endured the lack of digital infrastructure, and spending close to 22% of the family income on gaining relevant information on schools, global exams, and financial assistance.
Theme: Creativity, Communication
MBA Essay Strategy: The strategy is to share why the applicant values no distraction in a child’s home for optimum education experience. Then I highlight the many roadblocks the applicant’s non-profit faced in receiving fee waiver for their cooperative run ISP.
Read: Harvard MBA Leadership Essay – Non-Profit (Telecom) (Leadership-Focused HBS MBA Essay Example)Example #12: Mental Health
Background Information: The applicant like most didn’t pay much attention to the mental health epidemic until tragedy hit home.
Theme: Communication, Innovation
MBA Essay Strategy: A question we frequently get from applicants is whether they should cite tragedy in the family as a motivation for a venture or a non-profit initiative. As long as you don’t linger too much on the tragedy and offer a balanced narrative, there are no restrictions on leveraging unique stories from your life.
Read: Harvard MBA Leadership Essay – Mental Health (Leadership-Focused HBS MBA Essay Example)Example #13: Trauma, Healing & Finding Authentic Self
Background Information: The applicant narrates the absurdity of war in the narrative about the duties in Kabul, and the trauma. Instead of wallowing in on the horror, the applicant takes what makes military applicants strong and guides unprivileged children build life and leadership skills.
Theme: Resilience
MBA Essay Strategy: Capturing PTSD in an essay, the healing process, and the cues that helped the applicant are too sacred to be shared in a Harvard MBA application essay. However, with the right motivation and narrative arcs, you can capture the essence of your journey without sharing the darkest secrets. That is what I did by merging two stories – the horrors of the war with a non-profit engagement.
Read: Harvard MBA Leadership Essay – Military & PTSD (Leadership-Focused HBS MBA Essay Example)Example #14: Addiction, Setback and Leadership Mantra
Background Information: In this narrative, the applicant captures Peru’s Silver mining boom of 2006. The growth experienced in her father’s business shifted the family’s economic status to a new stratosphere. Through the changing economic and family dynamics, the applicant finds her voice in a unique way, initially to record her unheard voice but later as one of the youngest subject matter experts in mining and commodities.
Theme: Failure
MBA Essay Strategy: For the essay, the strategy is to show how life’s unpredictability is a blessing. By narrating two setback events, the essay demonstrates the applicant’s resilience and her acknowledgment of people who made a comeback possible.
Read: Harvard MBA Leadership Essay – Addiction, Setback and Leadership Mantra (Leadership-Focused HBS MBA Essay Example)Example #15: War, Immigration and Starting Over Again
Background Information: Despite a raging war in Syria, the family of the applicant was unblemished by the chaos. The strategic government assets near the applicant’s house would have made the region an easy target, but it was not. The calmness of her journey is shattered in one event. From the privileges of a cocooned life, the applicant is forced to think about survival, her sister’s future, and her future in the US. The second half of the narrative captures the change that was forced on her.
Theme: Gratitude, Resilience
MBA Essay Strategy: I consciously chose not to start the essay with a dialogue or trauma. Two lines are allocated to set up the narrative before the trauma event.
Read: Harvard MBA Leadership Essay – War, Immigration and Starting Over Again (Leadership-Focused HBS MBA Essay Example)Harvard MBA Business-Minded Essay: Please reflect on how your experiences have influenced your career choices and aspirations and the impact you will have on the businesses, organizations, and communities you plan to serve. (up to 300 words)
Example #16: Creative or Finance
Background Information: The applicant starts the narrative with the origin of her talents. The unbridled enthusiasm receives a reality check when in high school, the applicant’s father has a conversation with her about academics. While the applicant picked up her quant skills, she was reaching over 50,000 loyal fans, and her videos captured 1 million views.
Theme: Passion, Talent
MBA Essay Strategy: Capturing vulnerability is the toughest part for Harvard MBA applicants. For this essay example, I have captured the applicant’s uncertainty about career choice throughout the essay. Here the goal is to show vulnerability in the career choice essay while for leadership and growth essay, I could capture one example each from creative and PE industry respectively to balance the narrative. So don’t follow this example without a strategy.
Read: Harvard MBA Business-Minded Essay – Creative or Finance (Business-Minded HBS MBA Essay Example)- Stanford MBA Essay Guide (24 Sample Essays)
- Columbia MBA Essay Guide (21 Sample Essays)
- Wharton MBA Essay Guide (15 Sample Essays)
- INSEAD MBA Essay Guide (19 Sample Essays)
- Darden MBA Essay Guide (21 Sample Essays)
- Yale SOM MBA Essay Guide (15 Sample Essays)
- Tuck MBA Essay Guide (15 Sample Essays)
- Haas MBA Essay Guide (18 Sample Essays)
- NYU Stern MBA Essay Guide (15 Sample Essays + 6 Examples - Visual Essay)
- LBS MBA Essay Guide (6 Sample Essays)
- MIT Sloan MBA Essay Guide (6 Sample Cover Letters + 3 Sample Video Statement Scripts + 3 Sample Optional Essays)
- Kellogg MBA Essay Guide (11 Sample Essays)
- Chicago Booth MBA Essay Guide (12 Sample Essays)
- Ross MBA Essay Guide (31 Sample Essays)
- Duke Fuqua MBA Essay Guide (10 Sample Essays + Two 25 Random Things Samples)
- Cambridge MBA Essay Guide (12 Sample Essays)
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