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Free GMAT Test Questions

Welcome to our Question Bank!

You have not answered any question so far. There are 50 free practice questions in our database in total, which you can answer and will improve your skills.

You can answer all questions in a row (click on "All Questions") or only all questions of a particular section (click on that Section) or a single selected question (click on that Question).

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Quantitative reasoning - problem solving, quantitative reasoning - data sufficiency, verbal reasoning - critical reasoning, verbal reasoning - reading comprehension, verbal reasoning - sentence correction.

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Free Official GMAT Practice Questions, with Answers

When you are starting your GMAT preparation , it is essential that you use official GMAT practice questions. Why? The GMAT test exists to assess very particular skills and abilities that predict your success in business school.

The writers of the actual exam questions on the these standardized tests—employees at the non-profit organization ACT—follow very specific guidelines to make sure that the questions are truly assessing what the Graduate Management Admission Council (GMAC) wants them to assess: higher-order thinking (critical thinking, pattern recognition, etc.) and problem-solving skills.

Understand that the GMAT exam is not a math test, a grammar test, or a reading test:

  • Reading comprehension in the verbal section of the GMAT is not about pure literacy: rather, it is a test of verbal reasoning .
  • Likewise, the quantitative section is not evaluating you on mathematical rules, but on your quantitative reasoning .

Take a look at our guides to answering official GMAT practice questions by topic to learn how to prepare yourself for the GMAT exam !

Sample GMAT Questions by Topic

  • GMAT Problem Solving Questions
  • GMAT Data Sufficiency Questions
  • GMAT Data Insights Questions
  • GMAT Reading Comprehension Questions
  • GMAT Critical Reasoning Questions

The GMAT Test Is a Standardized Entrance Exam Tailored for MBA Programs

As such, the goal is not to assess how well you know obscure content or difficult math concepts, but rather how efficiently and creatively you apply core knowledge to solve different types of problems. It evaluates your critical reasoning as well as your problem-solving skills.

Instead of focusing on the right answer when looking for GMAT practice tests, learning the correct approach and how to train your thinking, is what will guide you to the right answer choice.

To practice with official test material—and gain expert advice on how to approach each example problem on the actual test day— check out our pages covering multiple free GMAT practice questions.

Enroll in our GMAT prep course to effectively prepare for the exam with official practice questions and expert analysis.

Danger! Avoid Unofficial GMAT Practice Questions

GMAT prep is crucial for success at the actual exam, but when you are looking for a GMAT practice test, you should be aware of some of the issues with many of the GMAT practice questions out there.

A majority of unofficial free GMAT practice tests made by test prep companies miss this mark in one way or another, particularly on the verbal side of the exam. When you prepare with too many unofficial practice questions, you develop bad habits and you don’t prepare for the type of difficulty you will actually see on the exam.

There is a reason that official GMAT sample questions cost on average more than $2500 per question to make: expert item writers use the institutional knowledge of GMAC and ACT to create consistently “unique” questions assessing certain abilities, and then they vet the questions tirelessly to make sure they are perfect.

In a word, these questions are brilliant—they are difficult to attack initially yet generally simple in retrospective analysis, a quality that is challenging for test prep companies to replicate.

gmat problem solving questions and answers pdf

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Writing Questions to Test Higher-Order Thinking Is No Easy Task

Additionally, I would guess that of the 1000 official questions that appear as scored items on the actual exam over a certain time period, no more than 5 of those end up having marginal issues that lead to their removal as “unfair” or flawed. For unofficial questions, I would guess that number is literally 200 per 1000 (mostly subtle issues on verbal questions) with many of the other “valid” questions not really mimicking the type of difficulty for which you should be preparing.

Having written as many unofficial GMAT sample questions as anyone in the test prep industry, I know how painstaking it is to create “perfect” questions, and most question writers working for the big test prep companies simply do not spend the time necessary to capture the real exam questions (mainly because the writers are financially incentivized to write them quickly, or because they don’t really understand how to build questions that test higher-order thinking).

Knowing this is a crucial step in deciphering the answer choices on the GMAT.

A Curriculum Built On GMAT-Official Practice Questions 

Our 5-week GMAT prep course has “Refresh Modules” to help you remember the algebra, arithmetic, and logic you need to solve GMAT problems, and after that, we have our students practice exclusively with official GMAT practice questions. In both our courses and one-on-one GMAT tutoring sessions , we then thoroughly deconstruct these sample questions to show students why they are truly missing them.

Only through this detailed analysis of GMAT question types and actual GMAT questions can you really gain the skills and strategies needed to achieve a high score.

To highlight some of the difficulties present in real GMAT questions and the strategies required to solve them, let’s get a taste of the Menlo Coaching curriculum and deconstruct a GMAT sample question from each section represented on the GMAT test, by following these links to some free GMAT practice questions :

Related Articles

  • Comparing the Best GMAT Prep Courses in 2022
  • How to Create an Effective GMAT Study Plan
  • GMAT Score Chart (And How to Use It)
  • Official GMAT Practice Questions
  • Even more Official GMAT Practice Questions !

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Free GMAT Practice Test With Answers and Explanations

gmat problem solving questions and answers pdf

Magoosh is excited to offer you a free GMAT practice test (online) with video answers and explanations. The assessment will give you access to:

  • A realistic, adaptive exam that mimics the test day experience
  • Your baseline score estimate
  • A detailed report of your strengths and weaknesses to help guide your GMAT study strategy
  • High quality practice questions with in-depth text and video explanations

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You have the option of taking either the full practice test or one of its individual sections.  

Table of Contents

Score report, answers, and explanations, a note about adaptivity and cats (computer adaptive tests), official gmat practice tests: another important resource, planning the rest of your gmat prep, additional gmat prep resources, what to expect from the free magoosh gmat practice test.

This GMAT practice test takes around 2 hours and 15 minutes to complete. Here’s a breakdown of the number of questions and the amount of time it takes for all three sections—Quantitative, Verbal, and Data Insights—of the exam:

  • Quantitative Section – 21 questions, 45 minutes
  • Verbal Section – 23 questions, 45 minutes
  • Data Insights Section – 20 questions, 45 minutes

Now, let’s take a closer look at the ins and outs of this practice test.

When you finish the test, we will give you a detailed score report which will help you predict how well you would do on the actual GMAT. You’ll see exactly how you performed subject by subject, and where it’s worth focusing your studies.

You’ll also be able to review your answers and see the video explanations. And I have some especially good news about these answer explanations: you get a text explanation and a video explanation for every question! Reviewing both explanations is particularly useful because the text and video explanations often explain the test in two different ways. It’s a great way to explore and discover your own best learning style.

Just like the real GMAT test, the Magoosh practice test is adaptive . What does this mean? Well, there is not a fixed, predetermined set of questions. Instead, you get a CAT (computer adaptive test), in which the GMAT questions that pop up on your test screen will have a different difficulty level, based on how you did on the previous questions.

So if you do well on several consecutive questions, the exam will then start making your question level more difficult. But if you do poorly on several questions in a row, the exam will adapt and give you easier questions. The GMAT scoring is also based on this adaptive testing approach, with more points for harder questions and fewer points for easier ones.

I’m on the team that writes the Magoosh GMAT practice questions, and I can tell you that a lot of research goes into making sure they resemble the real thing as closely as possible. But in terms of quality, do you know what’s even better than a carefully researched imitation of the real thing? The actual real thing! Because of this, I always encourage students to use official GMAT practice tests alongside their Magoosh materials. In terms of quality, official GMAT prep is simply the best place to take a full length practice test.

The GMAT prep at the MBA.com store includes the most authentic adaptive GMAT practice tests you can take! And their offerings include two complete downloadable free GMAT practice tests, as well as four additional official practice tests that you can purchase.

Every journey needs a destination, and so you will need a GMAT goal score to help you plan and stay motivated along the way. Take your practice test result score and compare it against the GMAT scores of top MBA programs that you might be interested in.

From there, we highly recommend picking a study guide that suits your admissions timeline, bandwidth for studying, and your strengths/weaknesses: Here is a link that will help you pick a study plan and then you’ll be off to the races.

Here are some additional, mostly free non-practice test GMAT resources that you can use while studying. Sometimes just drilling practice questions and tests nonstop isn’t actually the most effective for improving your score, so mix it up in terms of the study content you consume to round out your study plan:

We hope you found this post helpful as a starting point for your study journey! If you take away one learning from all of resources we’ve described here, it’s that high quality material is critical when it comes to making the most of your study time and building confidence for the real exam. If you’re looking for an affordable self-study plan with personalized support, you can sign up to access all of Magoosh’s GMAT prep material here.

David Recine

David is a Test Prep Expert for Magoosh TOEFL and IELTS. Additionally, he’s helped students with TOEIC, PET, FCE, BULATS, Eiken, SAT, ACT, GRE, and GMAT. David has a BS and MA from the University of Wisconsin-Eau Claire and an MA from the University of Wisconsin-River Falls. Early in his career, he worked for Disney Consumer Relations, later moving on to become a business banker at Wells Fargo. Once David discovered his passion for education, he started teaching K-12 ESL in South Korea. He soon branched out into adult learning, teaching undergraduate and MBA-level communication and writing classes at American universities. During this time, David also taught business communication to employees at Hyundai, Cargill, and Nestle, and trained English teachers in America, Italy, and Peru. His work at Magoosh has been cited in many scholarly articles , his Master’s Thesis is featured on the Reading with Pictures website, and he’s presented at the WITESOL (link to PDF) and NAFSA conferences. Come join David and the Magoosh team on Youtube , Facebook , and Instagram , or connect with him via LinkedIn !

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5 responses to “Free GMAT Practice Test With Answers and Explanations”

Saleheen Avatar

ques no 3. If dividing 2 leaves a remainder of 2 than 20 must be another one. Moreover, Explanation shows one answer and and script correction shows another. I think you are marking just to allure for your courses. I would really appreciate an explanation.

Magoosh Expert

Hi Saleheen,

Here we looking for numbers that, when divided by 13, leave a remainder of 2. What’s the remainder when we divide 2 by 13? Well, 13 goes into 2 zero times. And we have 2 left over. The remainder is 2. In other words, when we divide a smaller number by a larger number, the quotient is zero. The important rule to keep in mind is Dividend = Divisor * Quotient + Remainder.

If we divide 20 by 13, the remainder is 7.

I hope this helps reassure you! Happy studying! 😀

Abbas Avatar

Hello, I got 20 questions correct on the Quants section and 26 on verbal. How do I translate it to a rough GMAT score?

Hi Abbas, we have information about how to get a rough estimate of your score in this part of the blog post. Keep in mind that this is just a rough estimate, since your actual score will be scaled and specific to the test you are taking! The best way to get an actual score estimate is to take a practice test from GMAC, Magoosh or Manhattan.

Abdallah IDIRIS Avatar

RO București

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GMAT Sample Questions

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Want a preview of the question types you'll face on the GMAT? Try your hand at the GMAT practice questions below. Then, check your answers against our in-depth explanations to see how you did.

We pulled these GMAT sample questions from our book Cracking the GMAT and from our test prep course materials. For more GMAT practice, take a full-length practice test with us held under the same testing conditions as the real thing. Find out how you'd score, and get  a personalized score report from us that shows your strengths and weaknesses.

  • GMAT Verbal Questions 
  • GMAT Math Questions
  • GMAT Integrated Reasoning Questions 
  • Essay Prompt 

Below you'll find sample GMAT questions covering the three question types you'll encounter on the Verbal section: Sentence Correction , Critical Reasoning, and Reading Comprehension.

GMAT Sentence Correction Questions

1. In order to better differentiate its product from generic brands, the cereal company first hired a marketing firm that specializes in creating campaigns to build brand awareness and then retools its factory to produce a variety of different shapes of cereal. (A) then retools its factory to produce a variety of different shapes of cereal (B) retools its factory to produce a variety of different shapes of cereal (C) then retooled its factory to produce a variety of different shapes of cereal (D) then will retool its factory to produce a variety of different shapes of cereal (E) then produces a variety of different shapes of cereal through retooling its factory

Answer: (C) The actions of the cereal company are not in parallel form. First the company hired then it retools . Eliminate choice (A). Choice (B) still has the same error. Choice (D) changes the verb form incorrectly to the future tense. Choice (E) rewrites the sentence but retains the error.

[+] See the Answer

2. Believed to be one of the first widely read female authors of the Western world, Christine de Pizan's masterwork The Book of the City of the Ladies , was written in 1405 and is a history of the Western world from the woman's point-of-view. (A) Believed to be one of the first widely read female authors of the Western world (B) Written by one of the first widely read female authors of the Western world (C) One of the first widely read female authors of the Western world, as some believe (D) Written by what some believe as one of the first widely read female authors of the Western world (E) Believed by some as one of the first works by a widely read female author in the Western world

Answer: (B) As written, this sentence has a misplaced modifier error: the book, The Book of the City of the Ladies isn't believed by anyone to be an author— Christine de Pizan is. Choices (A) and (C) repeat that error and can be eliminated. Choices (B) and (D) both change the introductory phrase to clearly refer to a written work, but choice (D) uses the incorrect idiom believe as instead of the correct form, believe to be . Choice (E) repeats that idiom error.

GMAT Critical Reasoning Questions

1. One food writer wrote that reducing the amount of animal products in one's diet can contribute to better health and well-being. Based on this claim, some people are completely eliminating meat from their diets in order to be healthier. The argument above relies on which of the following assumptions?

Answer: (B) The argument states that some people are eliminating meat from their diets because reducing the amount of animal products in one's diet can lead to better health. Meat is only one type of animal product, however. The argument assumes that by eliminating meat, the people are reducing the total amount of animal products in their diets. Choice (A) addresses increasing the amount of vegetables and grains, but the argument just deals with animal products. Choice (B) correctly addresses the people who are eliminating meat and states that those people are not increasing their consumption of dairy, which is another instance of using animal products. Thus, these people are actually reducing the amount of animal products in their diets. Choice (C) addresses most food writers, who are irrelevant to this argument. Choice (D) addresses health lifestyles, which are irrelevant to this particular argument. Choice (E) addresses the reasons behind not eating animal products, which is irrelevant to the argument.

2. Studies reveal that a daily exercise regimen helps stroke survivors regain dexterity in their extremities. Being given an exercise routine and having a consultation with a doctor about the exercise routine have been shown to be effective mechanisms to get patients to exercise daily. From the above information, which of the following statements can be reasonably inferred? (A) A stroke survivor that is given a detailed exercise plan and consults her physician about the plan will regain full dexterity in her extremities. (B) If a stroke survivor is not given an exercise plan and does not consult with a doctor, she will not regain dexterity in her extremities. (C) Stroke survivors who are given an exercise routine and consult with a doctor about that routine will sometimes regain dexterity in their extremities. (D) Being given an exercise routine and having a consultation with a doctor about the routine is the best way to help a stroke survivor regain dexterity in their extremities. (E) Only being given an exercise routine is necessary to regenerate dexterity in the extremities of seniors who have suffered a stroke.

Answer: (C) This is an inference question, so evaluate the passage and then look for an answer choice that can be reasonably inferred from the information. The passage states that a daily exercise regimen helps stroke survivors regain dexterity in their extremities and that survivors who are given an exercise routine and who have a consultation with a doctor about the routine have been shown to be effective at getting patients to exercise daily . So it can be inferred that if a survivor is given a routine and consults with a doctor, they are more likely to exercise daily, which will help them regain dexterity. Choice (A) is an example of extreme language. The phrasing will regain full dexterity is not promised in the information in the passage, as the passage only states that a routine and consultations may help a survivor exercise more. Eliminate (A). Choice (B) is also an example of extreme language. There is no way to discern from the information provided that a strong survivor would not regain dexterity without an exercise routine and a consultation, so eliminate (B). Choice (C) is a reasonable inference to make from the information in the passage so keep (C). Choice (D) also contains the extreme language best way . The information does not compare this method with any other method so eliminate (D). Choice (E) is recycled language and does not address consulting with a doctor so eliminate (E). The correct answer is (C).

GMAT Reading Comprehension Questions

Although oft-maligned in modern culture, the pigeon once stood not only for speed and reliability but also for grace and beauty. Darwin himself became a pigeon fancier after beginning to work with the humble Columbia livia , discovering them to be more fascinating than he had formerly believed. During the Victorian age, in fact, raising show pigeons was a popular hobby, with new breeds continuously arising as amateur (and not-so-amateur) ornithologists crossed animals in the hopes of creating ever more fantastic creatures. One of the most sought-after varieties was known as the Almond Tumbler, a name presumably derived from the color of the birds combined with the distinctive flight style. Over the course of many generations, this bird was so manipulated as to have a beak so small as to prevent the adult birds from feeding their offspring. And yet, it was wildly popular, drawing high prices at auctions and high prizes at competitions. How then did an animal once so well-loved come to be so loathed? As recently as World War II, the military used pigeons to carry messages but today, many people would kick a pigeon before they would feed one. Perhaps it is just a problem of population density - a lack of esteem for that which is ubiquitous. Pigeons have become our constant urban companions and, as such, have been transformed from symbols of peace, plenty, and prosperity, to representatives of disease and decay.

1. The primary purpose of this passage is to (A) convince the reader of the nobility of the pigeon, based on its history as a symbol of virtue (B) dissuade the reader from mistreating a once-majestic animal that has fallen from favor (C) rebut claims that the pigeon carries disease any more frequently than do other domestic animals (D) promote a renewal of pigeon fancying and a resurgence of breeds such as the Almond Tumbler (E) suggest that there might be more to the story of some urban wildlife than is commonly known

Answer: (E) The passage gives a brief description of the pigeon's place in recent human history and then goes on to contrast that with modern perspectives of the birds. Choice (A) goes too far—the author doesn't give any indication of believing the pigeon to be noble. Choice (B) focuses too specifically on a side comment in the second paragraph. Choice (C) also focuses too specifically on a side comments—the passage is not primarily about disease. Choice (D) is too strong—the passage isn't really promoting any specific action. Choice (E) remains neutral and informational, as does the passage.

2. The case of the Almond Tumbler is most analogous to which of the following? (A) a strain of wheat that can be grown in plentiful quantities but loses much of its nutritional value in the process (B) Arabian horses that are able to run at phenomenal speeds due to centuries of careful breeding designed to enhance those physical attributes (C) vitamins that were purported to provide all of the necessary nutrients but have since been found not to be very effective (D) the dachshund, a popular breed of dog that is nonetheless prone to severe back problems, due to weaknesses exacerbated by targeted breeding (E) the wild rock doves that are most commonly found nesting in the faces of cliffs far from human habitation

Answer: (D) The Almond Tumbler is described as a breed of pigeon that was very popular during the Victorian era. The passage also mentions that the selective breeding used to create that particular kind of bird also led to tiny beaks that kept parent birds from feeding their babies. Therefore, the best analogy would be another animal that is popular even though it has problems due to its design. Choice (A) is incorrect because it leaves out the aspect of popularity. Choice (B) is only positive and you need something that's also negative. Choice (C) is not about something that has been bred for a specific purpose, nor does it deal with popularity. Choice (D) correctly refers to a popular animal with a common health problem. Choice (E) does not refer to pigeons that have been bred by humans.

3. The passage suggests that (A) pigeons were once known for flying with celerity (B) the Almond Tumbler was the most beautiful breed of pigeon (C) Darwin was infatuated with his fancy pigeons (D) modern pigeons are dirtier than the fancy pigeons of yore (E) only scientists should breed new kinds of animals

Answer: (A) For a question this open-ended, it's usually best to check each of the answers against the passage. Choice (A) appears to match the opening line of the passage, which states that the pigeon once stood not only for speed and reliability. Choice (B) goes too far—although many Victorians seems to have loved the Tumbler, there's no evidence that it was definitively the most beautiful. Choice (C) also goes too far—the passage mentions that Darwin was fascinated by his pigeons, not that he was infatuated. Choice (D) draws an incorrect assumption—the passage comments that the common opinion has changed, not the pigeon itself. Choice (E) is not supported by the passage, which states that amateurs, as well as trained individuals, bred pigeons.

Below you'll find GMAT sample questions covering the two question types you'll encounter on the Quantitative section: Problem Solving and Data Sufficiency.

Problem Solving Questions

1. A certain company sells tea in loose leaf and bagged form, and in five flavors: Darjeeling, earl grey, chamomile, peppermint, and orange pekoe. The company packages the tea in boxes that contain either 8 ounces of tea of the same flavor and the same form, or 8 ounces of tea of 4 different flavors and the same form. If the order in which the flavors are packed does not matter, how many different types of packages are possible? (A) 12 (B) 15 (C) 20 (D) 25 (E) 30

Answer: (C) Begin by figuring out how many different ways you can package the tea in boxes that contains 8 ounces of tea, all of the same flavor. There are five flavors, each flavor can come in either loose leaf or bagged form, so 5 flavors x 2 forms = 10 different ways to package the tea in boxes that contain only one flavor each. Now find the number of different ways to package 4 different flavors of the same form per box. In this case, you must choose 4 of 5 possible flavors, and order does not matter, so the formula is 5 x 4 x 3 x 2 ⁄ 4 x 3 x 2 x 1 = 5 different ways to combine the 4 flavors. Each combination can come in either loose leaf for bagged form, so you have 2 different forms x 5 different combinations = 10 total possible ways to combine the 4 flavors in either bagged or loose-leaf form. Thus, the total number of combinations is 10 + 10 = 20 total combinations. The answer is choice (C).

2. Karen sold her house at a loss of 25 percent of the price that she originally paid for the house, and then bought another house at a price of 30 percent less than the price she originally paid for her first house. If she sold the first house for $225,000, what was her net gain, in dollars, for the two transactions? (A) $15,000 (B) $25,000 (C) $60,000 (D) $75,000 (E) $90,000

Answer: (A) If Karen sold her first house for $225,000 and at a loss of 25 percent, then 25 percent of the original price equals $225,000. 75 ⁄ 100 x = 225,000, so x, or the price she originally paid, equals $300,000. Thus, Karen lost $75,000 on the sale of her first house. If she bought a second house for a price of 30 percent less than $300,000, then the second house cost $210,000, so she gained $90,0000. $90,000 - $75,000 = $15,000, so the answer is choice (A).

Sample Data Sufficiency Questions

1. In a certain company, at least 200 people own manual transmission vehicles. If 12 percent of the people who own manual transmission vehicles also own automatic transmission vehicles, do more people own automatic transmission vehicles than own manual transmission vehicles? (1) 5 percent of the people who own an automatic transmissions vehicle also own a manual transmission vehicle. (2) 15 people own both an automatic transmission vehicle and a manual transmission vehicle. (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. (B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. (C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. (D) EACH Statement ALONE is sufficient. (E) Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Answer: (A) According to statement (1), 5 percent of the people who own an automatic transmission vehicle also own a manual transmission vehicle. The question also indicates that 12 percent of the people who own a manual transmission vehicle also own an automatic transmission vehicle. Both figures relate to the total number who own both, so that means that 5 percent of the automatic transmission owners = 12 percent of the manual transmission owners. The overlap in ownership makes up a smaller percent of those who own automatic transmission vehicles, so there must be more people who own automatic transmission vehicles. Statement (1) is sufficient, so you can eliminate choices (B), (C), and (E). Statement (2) indicates that 15 people own both an automatic transmission vehicle and a manual transmission vehicle, so you know that 12 percent of the people who own a manual transmission is equal to 15 people. 12 ⁄ 100 = 15, so x = 125. Thus, there are 125 people who own a manual transmission vehicle. However, you have no further information to allow you to calculate the number of people who own automatic transmission vehicles, so statement (2) is insufficient. The answer is choice (A).

2. What is the value of x ⁄ 2 ? (1) x is 1 ⁄ 5 less than 9 ⁄ 10 (2) x is between 2 ⁄ 5 and 4 ⁄ 5 (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. (B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. (C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. (D) EACH Statement ALONE is sufficient. (E) Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Answer: (A) Statement (1) allows you to find the value of x, so you can answer the question. (If x is 1 ⁄ 5 less than 9 ⁄ 10 , then 9 ⁄ 10 - 1 ⁄ 5 = x. 1 ⁄ 5 = 2 ⁄ 10 , so x equals 9 ⁄ 10 - 2 ⁄ 10 = 7 ⁄ 10 . If x equals 7 ⁄ 10 , then x ⁄ 2 = 7 ⁄ 10 divided by 2, or 7 ⁄ 20 .) Statement (1) is sufficient, so eliminate choices (B), (C), and (E). According to statement (2), x is between 2 ⁄ 5 and 4 ⁄ 5 . That means that one possible value for x is 3 ⁄ 5 , but another possible value is 7 ⁄ 10 . Statement (2) is insufficient, so the answer is choice (A).

Below you'll find examples of how you'll be asked to use a chart, graph, or table to answer questions on the Integrated Reasoning section.

Sample Integrated Reasoning Questions

Item 1: Andre is buying gifts for his office staff. He wants to spend exactly $280 and he can buy either sweatshirts, which cost $22, or baseball caps, which cost $26. In the table below, choose the number of sweatshirts and the number of baseball caps that Andre should buy.

Answer: Sweatshirts, 8; Baseball caps 4 To solve this question, systematically test out the answer choices. The equation you need to solve is 22s + 26h = 280, in which both s and h are integers and s represents the number of sweatshirts and h represents the number of baseball caps. So, start with plugging in 4 for sweatshirts and see if the number of baseball caps is an integer. 22(4) +26h = 280 h = 7.38 Since the number of baseball caps is not an integer, Andre could not have bought 4 sweatshirts. Keep trying more sweatshirts one by one until you find an answer that will you an integer value for baseball caps. 8 sweatshirts will give you 4 baseball caps.

GMAT sample question

Question 2-1 The ratio of the U.S. population in 2000 to the U.S. population in 1900 is closest to __. (A) 1 to 4 (B) 2 to 7 (C) 2 to 1 (D) 3 to 1 (E) 11 to 3

Answer: (E, 11 to 3) According to the graph, the U.S. population in 2000 was a little bit more than 275 million, and the U.S. population in 1900 was a little over 75 million. Since the question asks what the ratio is "closest to," these numbers are good enough to approximate. 275 to 75 can be reduced by 5 to get 55 to 15, which can be reduced by 5 again to get 11 to 3. Alternatively, you could reduce 275 to 75 by 25 to get this same ratio.

Question 2-2 The U.S. population in 1950 was approximately __ of the U.S. population in 1850. (A) 800% (B) 600% (C) 200% (D) 85% (E) 15%

Answer: (B, 600%) The question asks what percent the U.S. population in 1950 is of the U.S. population in 1850. To get this you need to calculate population 1950 ⁄ population 1850 x 100. Since the U.S. population in 1950 is higher, you want something that is greater than 100%. Eliminate 85% and 15%. Since the sentence says "approximate" and also since the remaining answer choices are not close to each other, you can estimate the values. According to the chart, the population in 1950 was about 150 million and the population in 1850 was about 25 million. Therefore, you need to calculate 150 ⁄ 25 x 100 = 6 x 100 = 600%.

Question 2-3 The U.S. population increased by approximately __ from 1900 to 1950. (A) 25% (B) 33% (C) 50% (D) 100% (E) 200%

Answer: (D, 100%) To get percent increase, you need to use the formula difference ⁄ original x 100. The population in 1900 was about 75 million, and the population in 1950 was about 150 million. The difference between the two figures is 75 million. Therefore, the percent increase is 75 ⁄ 75 x 100 = 100%.

Below you'll find a sample Analytical Writing Assessment (AWA) question. On the GMAT you'll have 30 minutes to write a critique of the argument.

Analysis of an Argument

The following appeared as part of a medical advertisement in a magazine.

A new medical test that allows the early detection of a particular disease will prevent the deaths of people all over the world who would otherwise die from the disease. The test has been extremely effective in allowing doctors to diagnose the disease six months to a year before it would have been spotted by conventional means.

Discuss how logically convincing you find this argument. In explaining your point of view, be sure to evaluate the line of reasoning and the use of evidence in the argument. For example, it may be necessary to consider what questionable assumptions underlie the thinking and what other explanations or counterexamples might weaken the arguments conclusion. You can also discuss what kind of evidence would strengthen or refute the argument, what changes in the argument would make it more logically persuasive, and what, if anything, would enable you to better evaluate its conclusion.

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GMAT Problem Solving—Be Flexible in Your Approach (and Know What You Need to Know)!

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GMAT Problem Solving

Probably the most common misconception about the GMAT is that the quant section is a “math test.” Obviously, math skills are essential to success and your fluency with underlying math concepts directly affects your score. However, the problems in the quant section are testing much more than math:

  • Who is good at creative problem solving?
  • Who can deal with abstract presentation of simple concepts?
  • Who leverages every resource and hint in a problem?
  • Who reads carefully and follows instructions properly?

Of all the question types on the GMAT, test prep companies feel most comfortable creating unofficial quant problems. They hire math whizzes to crank out content questions and consumers gobble them up in their preparation for this section.

While these questions will help with content improvement, they usually lack the type of difficulty you see in a full 75% of the quant questions on the GMAT! By using mainly official Problem Solving questions, you not only improve your understanding of underlying content but also prepare yourself for the other types of difficulty that plague a majority of students on hard quant questions.

Best Practices for GMAT Problem Solving Questions

On the quant section of the GMAT, it is helpful to think of Problem Solving questions in two categories:

Type 1 : These questions are more just math questions and require you to apply conceptual knowledge and practical math approaches to solve a question.

Type 2 : These questions are made difficult by abstract presentation, complex or tricky wording, red herrings, your choice of approach—i.e. those in which just understanding the math will not get you to the correct answer efficiently (if at all!).

Type 2 questions have always been the mainstay of the quant section on the GMAT, and these questions are what make the test so hard for students. To explain this type of question, I have always used this example:  on the exam, GMAT test writers turn 1 + 1 into a 90 th percentile problem by making it exceptionally hard to sort through all the garbage and see that you just need to do a simple addition. When you miss this question, you don’t need to go do more addition drills, you need to learn how to sort through abstract presentation and deal with complex wording! People do not spend enough time improving these types of skills that are so essential on hard official quant questions.

In the shift to the GMAT Focus exam, I expected to see even fewer Type 1 questions but so far this has NOT been the case. Anecdotally, I would say that ¼ of the questions fall into category 1 and ¾ fall into category 2 on the new exam, the same proportion as on the legacy version of the GMAT.

This is still a small percentage of the quant questions overall, but you should think of these Type 1 questions as gifts on the GMAT quant section:  if you do the proper prep and understand the math, you will get these questions correct with little effort. It is also important to note that the standard for solving pure math questions around the globe is very high. If it is mostly just a math question, you really need to get it right to be competitive on the GMAT quant section.

So, when I review missed questions with students and I see that they are missing a Type 1 question, I say: “Know What you Need to Know! and this question would feel easy.”   There is no better example of this than the first question covered in this section, a question I see far too many students miss.

GMAT Problem Solving: Example Question #1

gmat problem solving questions and answers pdf

Detailed Explanation For Question 1

gmat problem solving questions and answers pdf

This process is made more difficult in this official question with two mechanisms:

  • The denominator does not just contain individual terms with roots but also integers or multiple roots added together. This makes for a more difficult version of rationalizing the denominator in which you must recognize the difference of squares and” multiply by one” using the conjugate of the denominator. Even though this is harder, these are both core best practices that you learned in algebra in high school and that you must know for the GMAT. This skill has been tested so many times on the GMAT that you should recognize two things immediately: you should use the conjugate and the denominators will simply disappear with the numbers they have used.
  • Three terms with roots in the denominator are being added together, so the test-maker entices students to try to find a common denominator or take some other incorrect approach.

gmat problem solving questions and answers pdf

The important point with a manipulation like this is that you simply must recognize what to do! We cover these types of important math skills in detail in our Refresh Modules and then you need to practice them with questions like this. Once you see what to do on the first term, then just do the same type of manipulation on each fraction individually and add the simplified terms together.

gmat problem solving questions and answers pdf

With each of the three fractions simplified and the denominators disappearing, you are simply adding together the following three terms:

gmat problem solving questions and answers pdf

The correct Answer is thus (E).

While these three steps look tedious on paper, the reality is that a lot of people taking the GMAT are going immediately to the last step shown above without any written work. You want to be one of those people!

If you don’t know what to do on this problem algebraically (and the point of this example is that you should!), it is important to note that this question can also be solved cleverly using answer choices and simply estimating the roots. Since the first four answer choices are all less than 1/2, you know the answer must be (E). Estimating the two roots in the question stem allows you to see that the sum of the three expressions will get close to 1, and none of the other answers are close. If you solved this question with this technique, good for you! However, this question could easily contain 6/7 as an answer, and then you would be in trouble.

As you prepare for the exam, pay special attention to any misses on questions like this that just require math knowledge. They are easier to prepare for and it is important that you get them right. With difficult abstract problems involving lots of red herrings or tricky wording, you simply can’t get win them all, but for these types of questions, you can develop complete mastery.

GMAT Problem Solving: Example Question #2

One year ago, a window washing service charged $100 for setup and an additional $30 per hour for on-site washing. This year the company charges $20 for setup and an additional $50 per hour for on-site washing. Which of the following is equivalent to the percentage change from last year to this year that the company charges for setup and x hours of on-site washing?

gmat problem solving questions and answers pdf

Detailed Explanation For Question 2

This example is a classic type 2 question—it feels abstract and you must read carefully. You can be comfortable with most percent questions on the GMAT and still get this wrong (or waste a lot of time) if you don’t choose the right approach.

If you search the internet for explanations on this question, you see everyone explaining one tedious algebra step after another AND you see many people who have either botched that algebra or made a mistake setting up the percent change. In 20 years of preparing people for the test, I have only seen a few variable-in-answer choice percent questions for which algebra was a better approach than number picking. Here the algebra is not as tedious as in other questions of this kind, but number picking is unquestionably easier.

As a best practice for the exam, always take a little time to decide on your approach (algebra, conceptual thinking, backsolving, or number picking) before jumping into a question. Don’t swim upstream with a long math approach when you can take advantage of answers or use your own numbers. As we teach in our curriculum, whenever you see percent change questions with variables, try number picking first and only go to algebra if that is not working. When number picking, it is important that you are careful with the number(s) that you choose for variables—that is, anticipate and use numbers that will make solving the question as easy as possible. On harder number picking questions, you may choose the wrong numbers first and only realize which ones will work better as you move into the question.

gmat problem solving questions and answers pdf

The final step after you solve with the number(s) you have chosen is to plug that number into each answer, looking for your solution, in this case 8%. By plugging 5 into each answer, it is clear that (D) and (E) are wrong as they would be negative. (A) is way too big and (C) would leave 27 in the denominator (i.e. not reduce to 8) so the correct answer must be (B).

Thinking about this question broadly, it is really quite simple with number picking as long as you pick a good number!!!! One risk in number picking is that you get buried in awkward calculations. Imagine if you picked say 3 or 7 for x. With 3, you would be starting at $190 and calculating the % change to $170. Ugly. With 7 it would be $310 to $370. Also, ugly.

Number picking is an essential strategy for GMAT word problems with variables in answers and for many other question types (percent questions or others in which the starting number can be anything). You must practice and hone this strategy in the same way that you do with certain quant skills and calculations, but most people are not doing that in their preparation. As you move through official questions, take the time to consider alternative approaches after you have solved a question, particularly if your method seemed tedious or time-consuming. As a final exercise, think about how easy you can make a problem like this compared to how it first seems:  if I asked you what the percent change was from 250 to 270, I am confident that all of you could get it correct in less than a minute!

Caution: Avoid Unofficial GMAT Problem Solving Questions (except when you need content help)

Utilizing unofficial Problem Solving questions is not as worrisome as using unofficial Verbal or Data Insights questions, which can actively hurt your score. Since most unofficial Problem Solving questions are more just about the math, they can help improve your mastery of underlying math content.

With that being said, you better move to official questions early in your preparation once your content knowledge is solid. Without using the complex and cleverly made official quant questions, you are not preparing for the more complicated problems in which you must sort through clever wording, use answer choices actively, number pick to simplify the problem, etc. People with strong quant skills (engineers, math majors, etc.) are often surprised that their quant scores are not higher, and it is often because they are not prepared for this “Type 2” difficulty that appears in a majority of quant questions on the GMAT.

To strengthen your skills and tackle these “Type 2” difficulty questions with confidence, consider joining our live GMAT prep course . These sessions are designed to guide you through the complexities of official quant questions in a supportive, interactive environment.

gmat problem solving questions and answers pdf

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GMAT Prep Online Guides and Tips

2000+ gmat sample questions: practice every question type.

gmat problem solving questions and answers pdf

Practice questions are an essential part of any GMAT prep. But how do you find the best GMAT sample questions?

In this article, I’ll address what to look for in GMAT practice questions, the pros and cons of both official and unofficial GMAT test questions, and tips on creating an effective GMAT study plan using these resources.

What to Look for in GMAT Sample Questions

There are a wide variety of GMAT sample questions out there. How do you know if you’re using quality practice ones? These are a few of the characteristics of good GMAT practice questions, whether they’re official or unofficial.

#1: Same Format and Question Types as the Real GMAT

Once you start taking GMAT practice tests, you’ll get a feel for how GMAT questions should look: how long they are, what they look like on the screen, the topics they tend to cover, and the style in which they’re written, for example. In every section, there will also be a mix of question types: the quant section always includes both data sufficiency and problem-solving questions, while the verbal section always includes a mix of sentence correction, reading comprehension, and critical reasoning questions.

The GMAT example questions you choose as you prepare for the test should be as similar as possible to real questions written by the Graduate Management Admissions Council (GMAC). The closer you can get to simulating real testing conditions, including everything from visuals to question content, the more comfortable you’ll feel on the day of the test. Also, answering GMAT practice questions that are similar to those you’ll encounter on exam day will help you gauge your progress and potential GMAT score range accurately.

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#2: Computerized (and Hopefully Adaptive)

The GMAT is a computerized adaptive test (CAT), which means it adapts to the test taker’s skill level in real time to determine both their score and the mix of questions they’re given. Ideally, GMAT sample questions should follow this format, so you can be best prepared for what you’ll see and experience on test day. Practice resources in CAT format will usually advertise that fact prominently. If they don’t, they’re likely not in the format of the official GMAT.

Obviously not every resource you use will be in CAT format—for example, if you’re using a book to do drills on specific question types. But a sizable portion of your prep should be done using practice questions in CAT format.

#3: Accurate Difficulty Levels

The GMAT always includes a mix of easy, medium and difficult questions. How many you receive of each will depend partly on the computerized adaptive test: You’ll start with ‘medium’ questions, and if you answer those correctly, you’ll be given more difficult questions on average; if you answer them incorrectly, you’ll get easier questions on average. However, every test taker will receive some questions at all three difficulty levels.

Your selection of practice GMAT questions should be at the same difficulty level as the real GMAT test questions. As you prepare, you’ll be able to tell if your sample GMAT questions seem too easy or too difficult on average. Practicing with either too-difficult or too-easy questions might give you an inaccurate picture of your probable ultimate GMAT score, and could also leave you underprepared for the real GMAT.

#4: Organized by Skill and/or Difficulty

You should target your weaknesses when completing GMAT practice questions. You may struggle more with data sufficiency questions than with problem-solving questions on the quant section, for example, or you may do well on most geometry questions but wrestle more with trigonometry and algebra. Alternatively, you may have mastered easy questions across the board and might need to focus on medium and/or difficult questions instead.

Resources that offer customizable sets (based on question type, skills tested, and difficulty level) of GMAT practice questions, or that separate the questions according to those categories, will help you study more effectively and in a more organized fashion than ones that aren’t labeled according to type or that are randomly compiled. The more specifically each question is categorized, the more effectively you will be able to form a study plan that hones in on your specific problem areas.

Computerized adaptive practice questions will help you prepare most effectively for the GMAT.

Official GMAT Practice Questions

The Graduate Management Admissions Council (GMAC) releases a variety of practice resources that use official GMAT sample questions, either written by the test makers themselves or adopted from retired exams. For each resource, I’ll go over what’s included, its strengths and weaknesses, and the best way to make use of it in your prep.

#1: GMATPrep Software

The official GMATPrep Software is the best resource for GMAT practice questions available. It contains two full-length simulated computerized adaptive tests . Everything is written by GMAC, so you know you’re getting the real thing. You can take the two practice tests as many times as you like, but you’ll likely repeat some of the same questions if you take each one more than once.

You can customize your sets of practice questions, choosing 1-15 questions of each type (critical reasoning, sentence correction, and reading comprehension, for verbal) and difficulty (easy, medium, or difficult). In addition to the questions on the two practice tests, there are 90 additional practice questions available on the software.

The software also includes a detailed breakdown of GMAT question types and strategies, as well as a review of skills you’ll need for the quant section.

  • It’s free for registered users of mba.com. Just create an account.
  • The practice questions are identical in length, format, style, content, and visuals to what you’ll see on the GMAT.
  • Answer explanations are step-by-step and in-depth, and you can go back and review or drill questions you previously got wrong as many times as you like.
  • Detailed performance reviews break down what you’re getting wrong so you can hone in on your weak spots, including specific question types and skill sets
  • Not much! The GMATPrep exams are great GMAT example tests. There aren’t many resources that can beat official questions under simulated testing conditions, and it’s free.
  • However, there are only two full-length practice tests, so you’ll likely need to supplement these practice questions with other resources.
  • Also, while the quant review is great, there isn’t a similar resource available on the software for the verbal section.

How to Use It:

  • It’s best to start off your GMAT prep by taking one of the two full-length simulated tests on the GMATPrep software. Since the practice questions and score report are so realistic, the results will serve as a good barometer of your starting point.
  • After you complete the rest of your prep with other practice questions, you should take the second GMATPrep practice test a few weeks before you take the GMAT. This will give you a good idea of where you stand before exam day.

#2: GMATPrep Question Pack 1

An official addition to the GMATPrep Software, the GMATPrep Question Pack contains 404 additional official questions.

You can create custom sets of practice questions of any length based on your needs. Each set of questions can be completed in either ‘exam mode’ (timed, under simulated test conditions) or ‘study mode’ (untimed). The Question Pack will cost you $29.99 to download.

  • This resource contains practice questions that aren’t available in any other official prep materials.
  • Your performance reviews for these practice questions will be integrated into your overall progress reports in the GMATPrep Software , allowing you to get an even more accurate picture of what your needs are in terms of prep.
  • There isn’t much of a downside to official questions as a supplement to your overall prep.
  • Once you’ve taken a few practice tests and figured out your weaknesses, create custom practice question sets that target your difficult spots (particular sections, question types, or question difficulty levels). These will serve as drills to beef up your skills in those areas.

GMAT customizable question banks allow you to work on your timing.

#3: The GMATPrep Exam Collection

These are official additions to the GMATPrep Software. You can only get them once you’ve downloaded the original free software.

Each Exam Pack contains 90 additional practice questions (30 quantitative, 45 verbal, and 15 integrated reasoning), as well as two full-length computerized adaptive GMATs. Each Exam Pack costs $49.99.

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  • In-depth diagnostics will let you know how you’re doing in comparison to your peers on every subsection of the test , as well as how your pacing could improve on each question type.
  • Answer explanations offer step-by-step, detailed analyses of all practice questions.
  • Not much (official GMAC questions are always helpful), except that they’re a bit pricey.
  • These practice questions are a great first step after you take an initial diagnostic practice test, particularly if you’re still unsure of what exactly your weak spots are.
  • You can use the two full-length CAT GMATs to gauge your progress throughout your prep. Alongside the official GMATPrep Software, you’ll have four full-length tests, so you can space them out to regularly check up on how your score is improving.

#4: GMAT Write

GMAT Write is a fairly new tool released by the makers of the GMAT, meant to help you with the analytical writing assessment. It includes two unique sample prompts for the analytical writing assessment section.

GMAT Write will time your essays (30 minutes each, just like on the real exam) and score them in real time according to the GMAC rubric. It costs $29.99 to download.

  • The visuals and experience of writing the essay are highly realistic.
  • The sample questions are written by GMAC, so you know they’re reliable.
  • GMAT Write scores your essays according to the same criteria used on the real GMAT— ‘analyzes the issue,’ ‘supports ideas,’ ‘organizes a coherent idea,’ and ‘language control’ — in real time. It’s the only official GMAC tool that will score your sample essays.
  • There are only two unique exam prompts included, which isn’t necessarily a lot of practice for $29.99.
  • You won’t get any detailed feedback , just scores in each of the four categories used to assess GMAT essays.
  • Use it alongside other practice tests. Many other resources only have integrated reasoning, verbal and quantitative practice questions, so adding a prompt from GMAT Write to your practice test will help you more closely simulated the experience of the actual GMAT.

GMAT Write will help you prep for the Analytical Writing Assessment.

#5: The  GMAT Official Guide 2018

The GMAT Official Guide 2018  is a comprehensive resource for GMAT prep. Included in your purchase ($19.95) is access (both online and in print) to over 900 official practice questions, access to an accompanying site where you can customize sets of practice questions, and online videos with plenty of GMAT tips and strategies.

  • The questions are written by GMAC, so they’re high quality.  The online practice questions mimic the visuals of the real GMAT.
  • The practice questions are organized in order of difficulty.
  • The answer explanations and introduction sections (where key GMAT concepts get broken down) are too complex for non-advanced students. This is especially true for the quant and sentence correction questions.
  • The online question bank only allows you to save ten practice sessions at a time, so if you plan on doing more, you’ll need to delete them before starting a new session.
  • The online question bank is great for regular practice sessions. The question sets are customizable, and you can review them at any time.
  • The book itself is a good resource to start your practice with after using the GMATPrep software as an initial diagnostic tool.

#6: IR Prep Tool

The Integrated Reasoning (IR) Prep Tool was introduced in 2014 to aid students specifically in the integrated reasoning section.

The tool includes 48 integrated reasoning questions total: 10 graphics interpretation questions, 15 multi-source reasoning questions, 15 two-part analysis questions, and eight table analysis questions.

You can create customized practice question sets, focusing on all question types or just one. You can also set the difficulty level for each practice question set. Once downloaded, you have unlimited use of the prep tool for six months. The IR Prep Tool can be downloaded for $19.99.

  • A detailed ‘help’ section breaks down each integrated reasoning question type for you and gives tips on how to approach it.
  • A time management tool tracks your average time on each question type and difficulty level, allowing you to work specifically on your pacing.
  • The IR Prep Tool doesn’t give you a specific score estimation. Your official IR score will be between 1 and 8, but the IR Prep Tool gives you a score between 0 and 100 based on your performance and time management.
  • There aren’t many resources out there specifically aimed at the integrated reasoning section, a frequent problem area for students, so this is a goldmine for students who have trouble with it.
  • Use it to target and break down the integrated reasoning section into manageable chunks, particularly if you get overwhelmed by the fact that each question has multiple components.

#7: GMAT Focus Quantitative Diagnostic Tool

The GMAT Focus Quantitative Diagnostic Tool consists of a 24-question quantitative test (12 data sufficiency questions and 12 problem-solving questions ) that uses real questions from retired exams. It’s computer adaptive and follows the style and format of the actual GMAT quant section.

You can start and stop the test manually, but you have 45 minutes total to complete the practice questions.

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When you complete the test, the Focus Tool provides detailed answer explanations and an assessment of your strengths and weaknesses in terms of quant concepts.

Four unique tests are available. One test costs $29.99, and a three-test package costs $79.99.

  • The GMAT Paper Tests are the only other GMAT practice resources that use real retired GMAT questions, making the Focus Tool the only computerized adaptive resource to do so. So you get the best of both worlds with this one: real practice questions from previous GMATs and simulated testing conditions.
  • The detailed assessment of your performance, including a possible score range (more accurate than an exact score, since no one practice test will give you a perfect prediction of your ultimate GMAT score) and a breakdown of your performance by question difficulty, will tell you exactly which quant skills you need to work on before the GMAT.
  • It’s a bit pricey for just 24 questions each.
  • It’s not tied into the other GMAT prep resources, so your results won’t be integrated into your GMATPrep performance reports.
  • After you complete one of the GMATPrep exams, this tool will help you hone in on the quant section . You’ll get an overall idea of your strengths and weaknesses in quant from the GMATPrep Software, but this tool will help you get much more specific about which skills to target in your quant prep.

The Quantitative Focus Diagnostic Tool will help you hone in on the intricacies of the GMAT quant section.

#8: GMAT Paper Tests

The GMAT Paper Tests are real retired GMAT tests , written by GMAC. Each set (I, II, and III) contains three official GMAT tests, answer sheets, and a guide for converting your raw score into a scaled score. They’re available in downloadable PDF form. Each set costs $29.99.

  • Most of the questions in these tests aren’t available in any of the other official GMAT practice tests or resources, so they’re especially good if you want some extra practice. This is a big plus: It’s somewhat difficult to find GMAC-authored questions that don’t overlap with other resources.
  • Official questions are always a big positive in terms of GMAT prep!
  • They’re on paper! You’ll have to score them yourself using the answer sheet, and it’s not computerized (obviously) or adaptive, so it doesn’t simulate any of the testing conditions.
  • No answer explanations are included, just the answers themselves.
  • You may want to order these if you’re a test-taker with a disability that may require an accommodation and using paper tests at home is easier for you during prep time.
  • The GMAT Paper Tests might also serve you well if you’ve used all the other official sample GMAT questions and you want some additional prep. However, don’t rely on them to give you much info on your likely final GMAT score, since they aren’t in the official GMAT format. Use them to work through practice questions in your prep sessions instead.

Best Unofficial GMAT Practice Questions

Official GMAT questions are great, but they aren’t the only GMAT prep materials out there. There are also a variety of free and paid resources that offer quality GMAT practice questions. Here, I’ve included practice tests, books, and online question banks. For each unofficial resource, I’ll address how you can access it, its pros and cons, and the best way to incorporate it into your GMAT prep.

#1: Veritas Prep

You’ll need to create an account to access Veritas Prep’s GMAT Question Bank, but once you do, it’s completely free.

The Question Bank offers hundreds of realistic sample GMAT questions: quant, verbal, and integrated reasoning. It includes example questions of every type within those categories. Before you start your practice session, you can choose which kinds of questions you want to see. With one account, you’ll only see each practice question once.

Veritas Prep doesn’t give you an official estimated score, but it does give you an overall percentile , which measures how you did on a particular question set compared to other students who answered the same practice questions.

The Veritas Prep Question Bank is ideal for regular practice throughout your prep, particularly if you have varying amounts of time (you can do a short or lengthy session) and want to drill certain skill sets or question types . The questions from the bank aren’t in CAT format, but you can access one free computerized adaptive test through Veritas and six paid ones. Veritas Prep questions are some of the closest you’ll find to official GMAC-authored GMAT example questions.

Kaplan has a wide variety of GMAT resources, including in-person and online prep courses, but its GMAT Premier 2018  is its flagship GMAT prep tool. Your purchase includes access to over 1,000 GMAT practice questions, six full-length practice tests (one is in the book, and five are computerized adaptive tests available online), video tutorials, an online question bank with 200 GMAT sample questions and customizable quizzes, and a mobile app that allows you to study on the go.

GMAT Premier also includes a special section of forty advanced quant practice questions and in-depth answer explanations, which can help if you’re looking for a challenge in the quant department. The Kaplan practice questions are a bit harder than the ones in Princeton Review, but the verbal questions in particular still leave something to be desired in terms of difficulty level. The sentence correction questions in particular are easier than real GMAT questions. The Kaplan quant questions fare a bit better in terms of GMAT comparability.

Like Princeton Review, Kaplan is a good resource if you’re looking for a fairly solid overview and breakdown of the exam to start your prep (after you take your first diagnostic GMATPrep test). It’s not going to be as helpful if you’re looking for a comprehensive guide to the GMAT or a massive boost in your score.

#3: Manhattan Prep

With an account, you can take one full-length computerized adaptive Manhattan Prep test for free. Six additional ones are available for $49.99, which gives you one year of unlimited access.

You can take the Manhattan Prep practice GMATs timed or untimed, and you can take complete or partial practice exams depending on your time limit during prep. After you take all six, you can reset the questions to take more. Each test includes an in-depth assessment of your performance that analyzes your strengths, weaknesses, timing, and the difficulty levels you’ve mastered.

Manhattan Prep questions are mostly quite realistic in content and difficulty level. Though the visuals aren’t perfect, they are not too far from what you’ll see on the real exam.

I’d also like to point out one of Manhattan Prep’s best resources for students looking to challenge themselves in the quant section: Their GMAT Advanced Quant book includes strategies for tackling the trickiest quant questions and over 150 realistic practice questions. This is a great resource if you’re already doing well in the quant section and looking to bump yourself up to the next level.

#4: PowerScore

PowerScore’s main claim to fame is its trilogy of GMAT Verbal Bibles: Critical Reasoning, Sentence Correction, and Reading Comprehension, along with the PowerScore Verbal Bible , which covers the entire section. The books are available for $24.99 each or $69.99 as a trilogy.

PowerScore does an excellent job of breaking down each question type within the verbal section (a great resource for non-native English speakers and anyone who struggles with verbal questions), and the sample GMAT questions included in each book are consistent with the length, difficulty, and content of those on the GMAT. Though of course the practice questions here aren’t computerized or adaptive, each book does include access to a companion website that includes extra drills and practice questions.

The main downside to PowerScore is that, while the books offer great strategies and explanations of various question types, there aren’t a substantial number of actual practice questions . The Verbal Bible , for example, contains 31 critical reasoning questions, 77 sentence correction questions, and only eight reading comprehension questions. So while these resources are great reads for test-takers who are looking for in-depth answer explanations, they’re not fantastic for substantial extra practice or regular prep sessions.

The PowerScore Verbal Bibles have excellent grammar guides to help you with sentence correction questions in particular.

#5: 800 Score Test

Providing a username and password will get you one full-length test on 800 Score Test for free. You can download five more for $39.95, which includes a comprehensive quant and verbal review, ten sample essay questions, access to online help, and in-depth video explanations of practice questions.

The visuals at 800 Score Test aren’t much like what you’ll see on the GMAT, but the practice questions themselves are high quality, particularly in the quant section. The verbal practice questions veer a little ‘off’ and aren’t as close to the real GMAT verbal section as the quant questions are, so if you’re especially looking to focus on verbal practice questions, this might not be your best bet.

The 800 Score tests are in CAT format, though, so even though the visuals are a bit lacking, they’re not the worst resource if you only want practice questions that simulate real testing conditions. Their Test Pacer tool lets you know what question you should be on to finish in time, which is very helpful for students who have trouble with consistent pacing.

#6: Princeton Review

Princeton Review’s Cracking the GMAT, available for $21.99 on Kindle, offers a breakdown of all GMAT sections (including integrated reasoning and the analytical writing assessment), along with six full-length computerized adaptive practice exams, over 180 practice questions organized by difficulty level, and drills for each test section. Cracking the GMAT Premier is $7 more and comes with more online resources, like extra practice tests, study strategies, and video tutorials.

Princeton Review offers a decent overview of each of the GMAT sections, though it only offers the grammar and math fundamentals, not anything in the way of more advanced concepts. Indeed, where it misses the mark is mainly in the difficulty of the practice questions: Nearly none of them are as difficult as actual GMAT questions. This is especially true in the critical reasoning and reading comprehension sections. So while Cracking the GMAT may help beginners who aren’t familiar with GMAT basics (especially to start off, since it’s not an intimidating text), it’s not enough for test-takers looking to break 700 or even 650.

#7: GMAT Club

Beyond its helpful GMAT forums, GMAT Club offers a variety of useful GMAT practice materials, including practice tests and question banks.

A few practice tests and question banks are free (no account required), but access to all of their customizable quizzes, bonus questions (over 1,572) and full-length tests will run you at least $79.99 for three months of use.

GMAT Club tests aren’t exactly in CAT format, as they don’t adapt to your performance as you go along, but they do follow CAT ‘logic’ and include a mixture of difficulty levels and question types that is consistent with what you’ll usually encounter in a computerized adaptive test. The quality of the visuals and practice question content is high, with practice questions closely resembling GMAC ones.

Difficult quant questions are one of GMAT Club’s specialties, which is important as many of the other top practice resources (Princeton Review and Kaplan, for example) trend a little easier: They claim that hundreds of their quant questions are at the 700+ scoring level. So if you’re looking to wow your prospective schools with your quant score, this might be a great resource.

#8: Manhattan Review

You have several options for free practice questions and other GMAT prep materials with Manhattan Review. With an account, you can access a fairly high-quality quantitative question bank in PDF ebook form, along with a vocabulary list (good for non-native English speakers) and another free ebook, GMAT in a Nutshell , that serves as an overall guide to the test and top strategies.

The Sentence Correction Guide, downloadable for free, boasts a solid grammar review of the concepts that are more often tested in sentence correction questions, but the sentence correction practice questions themselves aren’t all quite as difficult or complex as the real ones on the GMAT.

Manhattan Review also offers a full-length free practice test, which you can access with an account. It’s a computerized adaptive test. The questions here are good for extra practice, but the difficulty levels and visuals aren’t always consistent with the actual GMAT.

Vocabulary practice is an integral part of GMAT prep for non-native English speakers.

3 Top Tips for Creating a GMAT Study Plan

Once you’ve selected some practice GMAT questions, it’s time to set up a study plan. It’s important not just to find the best prep materials for you, but to use them to your advantage. Here are a few tips for using your prep materials as effectively as possible:

#1: Use the Two Official GMAC Tests on the GMATPrep Software First and Last

You should start your prep with one of the two full-length GMATPrep Software tests. Since they’re computerized adaptive tests with accurate visuals and questions written by GMAC, they’re the best possible indicator of your ultimate GMAT score. The first practice test will give you a good idea of where you stand and how to begin your prep. Unless you purchase more official GMAC practice tests, take the second free test from the software a few weeks before your exam date. This will give you a good idea of your score at the end of it all, and will let you know what to brush up on last-minute before the big day.

#2: Use Different Materials to Build Different Skills

Tailor the practice GMAT materials you select to your particular needs. For example, if you’re strong in quant but weaker in verbal (or a non-native English speaker), you might use Manhattan Prep, the GMAT Focus Quantitative Diagnostic Tool, or GMAT Club practice questions for your quant prep, since they all feature more advanced quant questions. You might start out more slowly in verbal, completing grammar reviews and drills from one of the PowerScore Bibles before delving more into practice questions. Mix and match resources according to your personal GMAT goals.

#3: Note Differences Between the Conditions of Your Practice and the Conditions of the Real GMAT

Not all of your GMAT practice questions need to be (or should be) in computerized adaptive form. Sometimes you’ll need to take your time to work through a particular question, complete a drill, or review concepts. But when you do take a full-length GMAT practice test, stick to the real testing conditions as much as you can: Use double-sided scratch paper, don’t use a calculator on the quant section, take the right amount of time for each section, and take eight-minute breaks between the integrated reasoning and quant sections and before the verbal section.

Some GMAT practice materials allow you to manually time yourself, take longer or unlimited breaks, or stop and start the test. Be mindful of these differences so you don’t learn to rely on conditions (such as a longer break) that won’t exist on the day of your exam.

whats-next-1462747_1280

What’s Next?

Looking for free full-length practice tests in addition to the best practice questions? You can find a list in our guide to the best free GMAT practice tests .

Our complete collection of GMAT practice tests provides a more comprehensive overview, in addition to reviews, of all available GMAT practice tests.

Finally our guide to how long to study for the GMAT will help you set up a time-effective study plan.

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gmat problem solving questions and answers pdf

Author: Laura Dorwart

Laura Dorwart is a Ph.D. student at UC San Diego. She has taught and tutored hundreds of students in standardized testing, literature, and writing. View all posts by Laura Dorwart

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Congrats on taking our GMAT Sample Quiz. Take one of our full-length GMAT practice tests or one of our study sets. Everything is 100% free!

1 . Question

The school held a community service project collecting trash. Students were put into groups of 4, and each group was required to collect 15 bags of trash. The school collected 1,305 bags of trash. How many students participated?

2 . Question

Solution X is made of two ingredients, d and g , and has a ratio of 1:3. Solution Y is made of two ingredients, g and f , and has a ration of 3:2. Solution Z is made of Solution X and Y with a ratio of 4:11. If you make 40 ounces of solution Z, what percent of it will be ingredient g ?

3 . Question

The lecture hall is 35% full. A group of fourteen enter the hall and take their seats. The hall is now 42% full. How many people will still be in the hall if 17 people leave?

4 . Question

A solution of water and vinegar completely fills a 2-quart container. What percent of the solution is vinegar?

  • There is more water than vinegar in the solution.
  • The ratio of vinegar to water is 1:7.
  • a. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
  • b. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
  • c. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
  • d. EACH statement ALONE is sufficient to answer the question asked.
  • e. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

5 . Question

If 4x – y = 6, what is 16 x / 2 y ?

6 . Question

When fully evaluated, what digit is in the ones place value for the following expression?

8 12 – 3 9 – 5 5

7 . Question

Consider quadrilateral ABDF. What is the area of quadrilateral ABCE, in square units?

gmat problem solving questions and answers pdf

8 . Question

The integer x is positive, while the integer y is negative. Which of the following will produce a positive integer?

  • a. xy – y
  • d. x x – y

9 . Question

Alice is keeping pitching stats for her softball team. In a certain game, the ratio of strikes to balls pitched was 2:5. Which of the following could not be the total number of pitches thrown during the game?

10 . Question

Find the angle

gmat problem solving questions and answers pdf

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Use the GMAT practice tests listed below to study. You will find full-length exams, study sets, and flashcards.

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Overview of the GMAT

The GMAT recently underwent some big changes. Starting February 1, 2024, the Traditional GMAT is being retired and switched to the GMAT Focus Exam.

The GMAT Focus includes 3 different sections. The exam is multiple-choice, computer-based, and computer-adaptive.

The 3 sections on the exam are:

  • Data Insights: 20 Questions, 45 Minutes
  • Quantitative Reasoning: 21 Questions, 45 Minutes
  • Verbal Reasoning: 23 Questions, 45 Minutes

There are 64 total questions and you will have 2 hours and 15 minutes to complete the exam.

An image showing an overview of the GMAT

For more information on the exam, visit our  GMAT test overview . You can also visit the  official site  for additional information.

Scoring of the GMAT

The GMAT is now scored on a scale of 205-805. It used to be scored on a scale of 200-800.

All 3 sections of the exam will count towards your total scaled score. Each section is scored on the same scale:

  • Data Insights: 60-90
  • Quantitative Reasoning: 60-90
  • Verbal Reasoning: 60-90

Every section is equally weighted towards your total score. Your section scores will be scaled to arrive at your total score (between 205 and 805).

To learn more about scores, read our guide to GMAT scores for more information.

Registering for the GMAT and Test Dates

The exam is given year-round (regardless of which option you choose to use when taking the exam). You will have 2 options with regards to taking the exam:

  • Online (Remotely Proctored)
  • In-Person (Testing Center)

It is a pretty straight-forward process to register and take the GMAT. You can follow these steps to register:

  • Create an Account on MBA.com
  • Decide How You Want to Take the Exam (Online or In-Person)
  • Pick Your Test Date and Time

The biggest decision you will have to make is choosing whether to take the exam online or in-person at a testing center. The option is completely up to you and is a matter of personal preference.

The standard fee to take the exam is $275 or $300 (depending on the method you choose to take the exam).

How to Use a GMAT Practice Test

Using a practice test when studying for the GMAT is a great study method. But what is the best way to use a practice exam?

We suggest the following when using our GMAT questions:

  • Initial Practice Exam: Take a practice exam in each subject area (and each question type).
  • Answer Explanations: Review all answer explanations and determine which areas give you the most trouble.
  • Focus on Problem Areas: Focus your studying on those problem areas until you are comfortable with the material.
  • Additional Practice Exams: Take another practice exam once you feel comfortable to confirm that you comprehend the material.

Keep the following in mind when using a practice exam:

  • Explanations: Our answer explanations are meant to help you better understand why an answer was incorrect. You can use the answer explanations to learn important concepts and how to solve problems quicker.
  • Study Trends: Our practice questions should help you discover trends about yourself that you may not have known. You may discover that you seriously struggle with a certain type of question. You can use these trends to study in a more efficient manner.
  • Time: The timing aspect of the exam always gives individuals trouble. Becoming more familiar with the questions and the way in which they are asked will help you get better with the time aspect.

Benefits of GMAT Practice Questions

There are many benefits to using GMAT questions when studying for your exam. Some benefits include:

  • Becoming Comfortable With the Test Format:  The GMAT, like most standardized tests, has its own unique format. As you take more and more sample tests, you will begin to see a pattern in the way the questions are written. Once the actual test day comes, you will feel comfortable and have no surprises.
  • Helping Improve Your Ability to Solve Problems:  Standardized tests measure your ability to solve problems, not just memorize information. To do well on the GMAT test you will need to have strong problem-solving capabilities. When answering questions, pay special attention to the answer explanations presented in your score report to help improve your problem-solving abilities.
  • Improving Your Pace: Each section of the exam is timed. To do well, you need to keep a steady pace. Practice taking the sample exams in a timed format to help improve your speed and decision-making.
  • Focusing Your Study Time:  One of the biggest advantages to taking a practice test is learning what you are good at and what you are weak at. You can then concentrate your study time on your weakest areas.

Frequently Asked Questions

Is the gmat multiple-choice.

Yes, the exam is multiple-choice.

Is the GMAT taken on a computer?

The exam is usually taken on a computer at an official testing center or online (remotely proctored).

In addition, the exam is computer adaptive. This means the exam gets harder as you answer more questions correctly.

How many questions are on the exam?

There will be 64 total questions. You will have 2 hours and 15 minutes to take the exam.

How many times can you take the GMAT?

You are allowed to take the GMAT once every 16 days and only 5 times total in a 12-month period.

You can take the exam a total of 8 times in your lifetime.

When is the GMAT changing?

The last date you can take the Traditional GMAT is January 31, 2024. Starting February 1, 2024, you will only be able to take the GMAT Focus Exam.

How much does the GMAT cost?

The standard fee to take the exam is $275 or $300. This depends on the method in which you are taking the exam.

What is a perfect GMAT score?

The exam is scored on a scale of 205-805. A perfect score is an 805.

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  • Last Updated: February 9, 2024

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What is the GMAT Quantitative Reasoning Questions Exam Structure?

The quantitative reasoning section tests your numerical literacy and mathematical abilities, such as solving quantitative problems and interpreting graphical data. It consists of 31 multiple choice questions, which should take  62 minutes (2 minutes per question) to be completed.

The quantitative reasoning section of questions consists of data sufficiency and problem-solving questions.

1. Data Sufficiency Questions Each Data sufficiency question is made up of a question and two statements. To answer a question, one should first identify the statement that provides information relevant to the question, and then eliminate all the other possible answers by using math knowledge and other everyday facts. There will be 14 to 15 questions on data sufficiency in each quantitative section.

  2. Problem-solving Questions Each Problem-solving question includes a question section and five possible answers to choose from. The questions are designed to assess your use of logic and analytical reasoning to answer quantitative problems.

gmat problem solving questions and answers pdf

What are the Skills and Strategies to Excel in Quantitative Reasoning Questions?

Math skills.

Quantitative Reasoning questions call for the application of math knowledge to solving problems. Such mathematical skills include:

  • Basic arithmetic including fractions, integers, powers and roots, and statistics and probability.
  • Algebraic topics such as variables, functions, and solving equations.
  • Word problems such as algebraic and geometric principles and blending arithmetic used to solve problems.
  • Geometry, particularly geometrical objects such as triangles, circles, quadrilaterals, solids, cylinders, and coordinate geometry.

Essential Strategies in Problem Solving Questions

  • Always check your onscreen timer. Apply caution while solving questions but don’t waste too much time verifying answers; strive to complete a given section.
  • If you find a question difficult or time-consuming, try to eliminate answer choices that might be outrightly wrong and select your best choice from the remaining ones.
  • Study each question in depth to ascertain what is being asked. For example, you may need to come up with some equations.
  • Solve the questions by writing to limit errors. An erasable tablet will be provided at the test center.
  • For the data sufficiency questions, ascertain whether the question requires only one value or a range of values. Moreover, avoid unnecessary assumptions about geometrical figures, as they are not usually drawn to scale.
  • Go through the answer choices before answering a question to get the gist of what kind of answer choice structure you are required to present. Moreover, some questions require simple approximation presentations, which may require little mental activity rather than long computations.

Questions Answered by our Users

Satisfied customers, preparation platform by review websites, some free exam-style gmat practice questions offered by analystprep, gmat quantitative problems, division & factoring.

When a number \(b\) is divided by \(a\), the remainder is 12. Given that \(\frac{b}{a}=7.15\), what is the value of a?

The correct answer is: C)

The result 7.15 due to division gives us the quotient 7 and the remainder 0.15. Therefore, \(\frac{12}{a} =0.15\) implying that \(a=\frac{12}{0.15}=80\).

Descriptive Statistics

Dre has seven French tests this semester that is each scored out of a maximum of 100 points. If his average score on the first five tests was 87, what is the minimum score he could get on the sixth test and still be able to maintain his 87 average through all seven tests?

The correct answer is: A)

If the average score on Dre’s first five tests is 87, the sum of the first 5 scores is \(5 × 87 = 435\).

To maintain a score of 87 for all 7 tests, the total score required would be \(7 × 87 = 609\).

The maximum score Dre could get on the seventh test would be 100, so \(609 – 435 – 100 = 74\) would be the minimum score he could get on test 6 and still maintain his 87 point score average.

Linear Algebra

Scott began losing weight at a constant rate five months ago and today weighs 25 pounds less than he weighed then. Concurrently, his brother Karl has also been losing weight at three times the rate of Scott. If Karl weighed the same weight two months ago that Scott is today, and the two brothers weigh a combined 450 pounds today, what was Scott’s weight five months ago?

So, Scott’s weight today \(= s−25\).

Karl’s weight loss rate is three times that of Scott, i.e., 15 pounds per month. So, Karl has lost a total of \(15×5=75\) pounds over 5 months.

Karl’s weight today = k−75.

Given, their combined weight today is 450 pounds:

$$\begin{align*}s−25+k−75&=450\\ s+k&=550\end{align*}$$

From the problem, we know that Karl weighed the same as Scott does today 2 months ago. Thus, Karl’s weight 2 months ago was \(k−3(15)=k−45\), because he loses 15 pounds each month.

$$\begin{align*}s−25&=k−45\\ s−k&=-20\end{align*}$$

Now, plugging (2) into (1):

$$\begin{align*}k-20+k&=550\\ 2k-20&=550\\ 2k&=570\\ k&=285\end{align*}$$ And from (2): $$\begin{align*}s&=550-285\\ s&=265\end{align*}$$

Basic Quadratics

If \(y=x^2 +mx + 48\) has x-intercepts (a, 0) and (b, 0), where a and b are integers, what is the least possible value of m?

The correct answer is: D)

We know that ab=48 and a+b=m, so we just need to find all the possible combinations of a and b. We have the possible sets (1, 48), (2, 24), (3, 16), (4, 12), (6, 8), and their negative counterparts.

To find the value of m, we need to find the lowest sum of each pair of numbers.

It would be (-1, -48) whose sum is -49.

Functions & Symbols

For any two integers m and n, range(m, n) denotes the difference in the values of m and n. For example, range(3, 6) = 3. For the integers c and d, what is the value of range(c, d)?

(1) range(c, 6) = 20

(2) range(d, 15) = 5

A) Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.

B) Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.

C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D) EACH statement ALONE is sufficient.

E) Statements (1) and (2) TOGETHER are not sufficient.

The correct answer is: E)

(1) This statement allows for two possible values of c, 4 or 8 and provides no information about d; NOT sufficient.

(2) This statement allows for two possible values of d, 10 or 20 and provides no information about c; NOT sufficient.

(Together) There are still multiple possible differences for range(c, d); NOT sufficient.

The correct answer is E; both statements together are still not sufficient.

A rectangular tennis court is divided into six sections with a net splitting the court into two halves at the midpoint of its length. Each half has three equal sections consisting of a single large section and two equal smaller sections exactly half the size of the large section. If the length of the entire court is 24 meters, and the area of one of the smaller sections is 24 square meters, what is the width of the entire court?

A) 4 meters.

B) 6 meters.

C) 8 meters.

D) 12 meters.

E) 24 meters.

If the area of two smaller sections of one half of the court is equal to half of that half of the court’s area, then \(24 = \frac{1}{2} × \frac{1}{2}lw\)

Since the length of half of the court is 12 meters, solve for \(w\) using the equation as \(24 = \frac{1}{2} × \frac{1}{2}(12)w\)

Multiply the full equation by 4 to find that \(96 = 12w\) and divide by 12 to find that \(8 = w\).

Rates and Work

Operating at the same time at their respective constant rates, Misha and Petro can repair 100 widgets in \(q\) hours. Working by himself at his constant rate, Misha repairs 100 widgets in \(w\) hours. In terms of \(q\) and \(w\), how many hours does it take Petro, working alone at his constant rate, to repair 100 widgets?

A) \(\frac {qw}{w-q}\).

B) \(\frac {qw}{q-w}\).

C) \(\frac {q}{w+q}\).

D) \(\frac {w}{w-q}\).

E) \(\frac {q}{q-w}\).

Use the combined time formula where combined time = \(\frac{time A × time B}{time A + time B}\), where time for Misha = \(w\), combined time = \(q\) and time for Petro = \(x\).

Therefore, \( q = \frac{xw}{x + w}\).

Multiply the equation by \(x + w\) to find \(qx + qw = xw\).

Subtract by \(qx\) and factor \(x\) to find that \(qw = x(w – q)\).

Divide by \(w – q\) to find that \(\frac{qw}{w – q} = x\).

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I had an amazing experience with Stefan M for my GMAT prep. When I started the process I was scoring in the low 600s, but by the end, I managed to get my score above a 700! Stefan was also great at helping me navigate the add uncertainties caused by the Covid-19 pandemic. I could not recommend him more enough!

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GMAT Problem Solving Questions With Answers

GMAT Quant Problem Solving Questions

Problem Solving questions constitute a major chunk of the Quant section of the GMAT. Of the 31 questions that appear in this section, you can expect close to 50% of the questions from problem-solving. In this article, we will be looking into –

What are GMAT Quant Problem Solving Questions?

  • 3 examples of GMAT Problem Solving Practice Questions
  • 5 tips that can help you ace these questions.

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Problem Solving or PS questions are questions that have a question followed by five options. They are very similar to any MCQ question that we come across in our school or university examinations. You need to solve the question and arrive at the answer and mark the correct choice.

There is only one correct answer in Problem Solving Questions.

Problem Solving questions are considered easier than Data Sufficiency questions because they are straightforward. Having said that, a preparation without a proper plan might prove disastrous for these questions.

Let us now take a look at a few Problem-Solving questions to get you started.

Examples – GMAT Problem Solving Questions

Question 1:.

If a regular unbiased die is rolled twice, what is the probability of getting a sum greater than 10 in the two rolls?

In probability, the probability of an event E = The number of favourable outcomes / Total number of outcomes

The first step is to calculate all favourable outcomes.

Let {x,y} represent the two rolls.

For getting a sum greater than 10, we can get a sum of 11 it a sum of 12.

Now, for a sum of 11, we can have these cases – {5,6}, {6,5}

For a sum of 12, we can have these cases – {6,6}

Hence, there are three favourable outcomes.

Total number of outcomes = 6*6 = 36

Hence, probability = 3/36 = 1/12.

Question 2:

The length of the equal sides of an isosceles triangle is 6 cm. What is the maximum possible area of the triangle(in square centimetres)?

Let us assume that one of these 6 cm sides is the base and the angle that the other 6 cm side makes with the base is k degrees.

Now, we know that the area of a triangle whose 2 adjacent sides are known and the enclosed angle is known can be calculated as:

Area = (1/2)*a*b*sin(k)

a = First side

b = Second side

k is the angle enclosed.

Now, a and b are fixed as 6 cm each

If sin k is maximum = 1, the value will be maximum.

Hence, the maximum possible area = (1/2) x 6 x 6 = 18

Question 3:

If a set A has 16 distinct elements all of which are integers and set B necessarily has the square of all elements of set A, what can be the minimum number of elements in set B?

If all 16 elements in A are distinct, say 1, 2, 3, …., 16, then B also has 16 elements 1, 4, 9, ….., 256.

However, to reduce the number of elements of B, we need to have as many elements as possible in A that also has their negative counterpart in A. For example, if 2 is an element, -2 should be an element as well. As a result, if 4 (square of both 2 and -2) is present in B, it will account for 2 elements in A.

Hence, we can have 8 positive numbers in A and their corresponding negative numbers in A. In this way, we can say that B will have a minimum of 8 elements.

Hence, the minimum possible number of elements in B is 8.

Though these examples provide a good sense of what type of GMAT Problem Solving questions you can expect, in no way do they represent the exhaustive list of concepts required for the Quantitative section of GMAT.

Tips to keep in mind:

  • Try to take some time out from easy Problem Solving questions so that you can use that time to solve tricky Data Sufficiency questions. Data sufficiency questions usually take more time to solve than Problem Solving questions.
  • Do not get stuck in a question for long. If you find yourself trapped in a question for long, take a guess and move on.
  • Read the units carefully.
  • Look out for negation words. For example: Which of the following are NOT possible values of x?
  • Some questions can be solved faster by the use of options. Make sure you don’t solve these questions in a conventional way.

You can check out the Free GMAT Daily Targets on our platform .

Also, check out the Free GMAT Verbal Tests and Quant Tests .

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Hope this article was helpful. Wish you all the best for the GMAT.

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Quiz questions chapter 1-28 & practice tests with answers key (a level chemistry textbook notes, mcqs & study guide), publisher description.

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Practice "Groups II and VII MCQ" PDF, book's chapter 13 test to solve MCQ questions: Atomic number of group II metals, covalent bonds, density of group II elements, disproportionation, fluorine, group II elements and reactions, group VII elements and reactions, halogens and compounds, ionic bonds, melting points of group II elements, metallic radii of group II elements, periodic table elements, physical properties of group II elements, physical properties of group VII elements, reaction of group II elements with oxygen, reactions of group II elements, reactions of group VII elements, thermal decomposition of carbonates and nitrates, thermal decomposition of group II carbonates, thermal decomposition of group II nitrates, uses of group ii elements, uses of group II metals, uses of halogens and their compounds. Practice "Halogenoalkanes MCQ" PDF, book's chapter 14 test to solve MCQ questions: Halogenoalkanes, uses of halogenoalkanes, elimination reactions, nucleophilic substitution in halogenoalkanes, and nucleophilic substitution reactions. Practice "Hydrocarbons MCQ" PDF, book's chapter 15 test to solve MCQ questions: Introduction to alkanes, sources of alkanes, addition reactions of alkenes, alkane reaction, alkenes and formulas. Practice "Introduction to Organic Chemistry MCQ" PDF, book's chapter 16 test to solve MCQ questions: Organic chemistry, functional groups, organic reactions, naming organic compounds, stereoisomerism, structural isomerism, and types of organic reactions. Practice "Ionic Equilibria MCQ" PDF, book's chapter 17 test to solve MCQ questions: Introduction to ionic equilibria, buffer solutions, equilibrium and solubility, indicators and acid base titrations, pH calculations, and weak acids. 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Practice "Periodicity MCQ" PDF, book's chapter 22 test to solve MCQ questions: Acidic oxides, basic oxides, aluminum oxide, balancing equation, period 3 chlorides, balancing equations: reactions with chlorine, balancing equations: reactions with oxygen, bonding nature of period 3 oxides, chemical properties of chlorine, chemical properties of oxygen, chemical properties periodicity, chemistry periodic table, chemistry: oxides, chlorides of period 3 elements, electrical conductivity in period 3 oxides, electronegativity of period 3 oxides, ionic bonds, molecular structures of period 3 oxides, oxidation number of oxides, oxidation numbers, oxides and hydroxides of period 3 elements, oxides of period 3 elements, period III chlorides, periodic table electronegativity, physical properties periodicity, reaction of sodium and magnesium with water, and relative melting point of period 3 oxides. Practice "Polymerization MCQ" PDF, book's chapter 23 test to solve MCQ questions: Types of polymerization, polyamides, polyesters, and polymer deductions. Practice "Rates of Reaction MCQ" PDF, book's chapter 24 test to solve MCQ questions: Catalysis, collision theory, effect of concentration, reaction kinetics, and temperature effect on reaction rate. Practice "Reaction Kinetics MCQ" PDF, book's chapter 25 test to solve MCQ questions: Reaction kinetics, catalysts, kinetics and reaction mechanism, order of reaction, rare constant k, and rate of reaction. Practice "Redox Reactions and Electrolysis MCQ" PDF, book's chapter 26 test to solve MCQ questions: Redox reaction, electrolysis technique, oxidation numbers, redox and electron transfer. Practice "States of Matter MCQ" PDF, book's chapter 27 test to solve MCQ questions: states of matter, ceramics, gaseous state, liquid state, materials conservations, and solid state. Practice "Transition Elements MCQ" PDF, book's chapter 28 test to solve MCQ questions: transition element, ligands and complex formation, physical properties of transition elements, redox and oxidation.

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    Free GMAT Practice Questions. What is the price of an orange? (1) The price of 3 oranges and 2 apples is $7. (2) The price of an orange and the price of an apple are both integers. A Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient to answer the question asked.

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