GMAT Math : Data Interpretation

Study concepts, example questions & explanations for GMAT Math

Create An Account

All GMAT Math Resources

22 Diagnostic Tests 693 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Probability

Two dice are rolled. What is the probability that the sum of both dice is greater than 8?

Possible Answers:

$\small \frac{1}{8}$

$\small \frac{5}{9}$

$\small \frac{5}{18}$

$\small \frac{7}{18}$

Correct answer:

$\small \frac{5}{18}$

Explanation:

There are 36 possible outcomes ( $6\times 6=36$ ). 10 out of the 36 outcomes are greater than 8: (6 and 3)(6 and 4)(6 and 5)(6 and 6)(5 and 4)(5 and 5)(5 and 6)(4 and 5)(4 and 6)(3 and 6).

$\small \frac{10}{36}\ =\ \frac{5}{18}$

Report an Error

Example Question #1 : Data Interpretation

Among a group of 300 people, 15% play soccer, 21% play baseball, and 9% play both soccer and baseball. If one person is randomly selected, what is the probability that the person selected will be one who plays baseball but NOT soccer?

Possible Answers:

$\frac{3}{25}$

$\frac{21}{100}$

$\frac{4}{7}$

$\frac{9}{50}$

Correct answer:

$\frac{3}{25}$

Explanation:

Since there are 300 people, $300\cdot .21=63$ people play baseball and $300\cdot .09=27$ of those people play both baseball and soccer. Therefore, there are 63-27=36 people who play baseball but not soccer.

Probability: $\frac{36}{300}=\frac{3}{25}$

Report an Error

Example Question #2 : Calculating Probability

If a die is rolled twice, what is the probability that it will land on either 2 or an odd number both times?

Possible Answers:

$\frac{1}{2}$

$\frac{2}{9}$

$\frac{17}{18}$

$\frac{4}{9}$

$\frac{2}{3}$

Correct answer:

$\frac{4}{9}$

Explanation:

probability on one roll: $\frac{4}{6}=\frac{2}{3}$

for both times= $\frac{2}{3}\times \frac{2}{3}= \frac{4}{9}$

Report an Error

Example Question #3 : Probability

What is the probability of sequentially drawing 3 aces from a deck or regular playing cards when the selected cards are not replaced?

Possible Answers:

$\frac{1}{64}$

$\frac{1}{2197}$

$\frac{1}{140,608}$

$\frac{1}{5525}$

Correct answer:

$\frac{1}{5525}$

Explanation:

The probability of drawing an ace first is $\frac{4}{52}$ or $\frac{1}{13}$ .

Assuming an ace is the first card selected, the probability of selecting another ace is $\frac{3}{51}$ or $\frac{1}{17}$ .

For the third card, the probability is $\frac{2}{50}$ or $\frac{1}{25}$ .

To calculate the probability of all 3 events happening, you must multiply the probabilities:

$\frac{1}{13}\times\frac{1}{17}\times\frac{1}{25}=\frac{1}{5525}$

Report an Error

Example Question #3 : Probability

How many even four-digit numbers larger than 4999 can be formed from the numbers 2, 4, 5, and 7 if each number can be used more than once?

Possible Answers:

256

Correct answer:

Explanation:

Since the number must be larger than 4999, the thousand’s digit has to be 5 or 7. We are also told that the number must be even. Thus, the unit’s digit must be 2 or 4. The middle digits can by any of the numbers 2,4,5, or 7. Therefore, we have a total of $2\cdot 4\cdot 4\cdot 2=64$ possibilities.

Report an Error

Example Question #2 : Data Interpretation

What is the probability of rolling an even number on a standard dice?

Possible Answers:

0.666

0.5

0.333

0.167

Correct answer:

0.5

Explanation:

A standard dice has 6 faces numbered 1,2,3,4,5,6 .

There are even numbers, 2,4,6 , divided by the total number of faces:

$\frac{3}{6}= 0.5$

Report an Error

Example Question #1 : Data Interpretation

Shawn is competing in an archery tournament. He gets to shoots three arrows at a target, and his best two shots count.

He hits the bullseye with 40% of his shots. What is the probability that he will hit the bullseye at least twice out of the three times?

Possible Answers:

0.352

0.784

0.192

0.48

0.8

Correct answer:

0.352

Explanation:

There are three scenarios favorable to this event.

1: He hits a bullseye with his first two shots; the third shot doesn't matter.

The probability of this happening is $0.40 \cdot 0.40 = 0.16$

2: He hits a bullseye with his first shot, misses with his second shot, and hits with his third shot.

The probability of this happening is $0.40 \cdot 0.60 \cdot 0.40 = 0.096$

3: He misses with his first shot and hits a bullseye with his other two shots.

The probability of this happening is $0.60 \cdot 0.40 \cdot 0.40 = 0.096$

Add these probabilities:

0.096 + 0.096 + 0.16 = 0.352

Report an Error

Example Question #195 : Problem Solving Questions

Square

A store uses the above target for a promotion. For each purchase, a customer gets to toss a dart at the target, and the outcome decides his prize. If he hits a pink region, he gets nothing; if he hits a red region, he gets a 10% discount on a future purchase; if he hits a green region, he gets a 20% discount; if he hits a blue region, he gets a 40% discount.

Assume a customer hits the target and no skill is involved. What are the odds against him getting a discount?

Possible Answers:

$1\textrm{ to }1$

$5\textrm{ to }2$

$2\textrm{ to }1$

$3\textrm{ to }1$

$3\textrm{ to }2$

Correct answer:

$1\textrm{ to }1$

Explanation:

The customer gets a discount if he does not hit a pink region. There are ten out of twenty ways to hit a pink region and ten to not hit one - this makes the odds 10 to 10, or, in lowest terms, 1 to 1 against a discount.

Report an Error

Example Question #5 : Probability

It costs $10 to buy a ticket to a charity raffle in which three prizes are given - the grand prize is $3,000, the second prize is $1,000, and the third prize is $500. Assuming that all of 1,000 tickets are sold, what is the expected value of one ticket to someone who purchases it?

Possible Answers:

$\$4.50$

$-\$5.50$

$\$0$

$-\$4.50$

$\$5.50$

Correct answer:

$-\$5.50$

Explanation:

If 1,000 tickets are sold at $10 apiece, then $10,000 will be raised. The prizes are $3,000, $1,000, and $500, so $4,500 will be given back, meaning that the 1,000 ticket purchasers will collectively lose $5,500. This means that on the average, one ticket will be worth

$\frac{-\$5,500}{1,000} = -\$5.50$

This is the expected value of one ticket.

Report an Error

Example Question #2 : Data Interpretation

Daria has 5 plates: 2 are green, 1 is blue, 1 is red, and 1 is both green and blue. What is the probability that Daria randomly selects a plate that has blue OR green on it?

Possible Answers:

$\dpi{100} \small \frac{2}{5}$

$\dpi{100} \small \frac{4}{5}$

$\dpi{100} \small \frac{1}{5}$

$\dpi{100} \small \frac{3}{5}$

Correct answer:

$\dpi{100} \small \frac{4}{5}$

Explanation:

The easiest way to solve this is by using the complement. Only one of the five plates is NOT blue or green. So $\dpi{100} \small \frac{1}{5}$ of the plates are NOT blue or green. Therefore $\dpi{100} \small 1-\frac{1}{5}=\frac{4}{5}$ of the plates are blue or green.

Report an Error

All GMAT Math Resources

22 Diagnostic Tests 693 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SAT Tutors in Denver, French Tutors in Washington DC, Biology Tutors in Washington DC, English Tutors in Seattle, SAT Tutors in Houston, LSAT Tutors in New York City, ISEE Tutors in Phoenix, Algebra Tutors in Washington DC, SSAT Tutors in Los Angeles, English Tutors in Philadelphia

Popular Courses & Classes

Spanish Courses & Classes in New York City, SAT Courses & Classes in Atlanta, SSAT Courses & Classes in Boston, SSAT Courses & Classes in Miami, SAT Courses & Classes in Los Angeles, ISEE Courses & Classes in Chicago, GRE Courses & Classes in Houston, GMAT Courses & Classes in Houston, Spanish Courses & Classes in Seattle, SAT Courses & Classes in Chicago

Popular Test Prep

SSAT Test Prep in Washington DC, GRE Test Prep in Seattle, GMAT Test Prep in Philadelphia, SAT Test Prep in Philadelphia, GMAT Test Prep in Denver, GRE Test Prep in Boston, ACT Test Prep in Dallas Fort Worth, GMAT Test Prep in Houston, SAT Test Prep in Denver, MCAT Test Prep in San Diego

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

Email address:
Your name:
Feedback:

GMAT Math : Data Interpretation

Study concepts, example questions & explanations for GMAT Math

All GMAT Math Resources

Example Questions

Example Question #1 : Probability

Example Question #1 : Data Interpretation

Example Question #2 : Calculating Probability

Example Question #3 : Probability

Example Question #3 : Probability

Example Question #2 : Data Interpretation

Example Question #1 : Data Interpretation

Example Question #195 : Problem Solving Questions

Example Question #5 : Probability

Example Question #2 : Data Interpretation

All GMAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details