GRE Math : Sets

Study concepts, example questions & explanations for GRE Math

Create An Account

All GRE Math Resources

13 Diagnostic Tests 452 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find The Missing Number In A Set

The product of two integers is 14. Which of the following could be the average of the two numbers?

Possible Answers:

$\dpi{100} \small -5.5$

$\dpi{100} \small -6.5$

$\dpi{100} \small -4.5$

$\dpi{100} \small 5.5$

$\dpi{100} \small 3.5$

Correct answer:

$\dpi{100} \small -4.5$

Explanation:

The two integers in this case, and their respective averages, could be:

$2\ and\ 7=4.5$

$-2\ and\ -7=-4.5$

$1\ and\ 14=7.5$

$-1\ and\ -14=-7.5$

Only $\dpi{100} \small -4.5$ is one of the answer choices.

Report an Error

Example Question #2 : How To Find The Missing Number In A Set

Which of these is a natural number?

Possible Answers:

None of these are natural numbers .

All of these are natural numbers.

Correct answer:

Explanation:

The natural numbers are the positive integers (whole numbers) starting with 1.

Report an Error

Example Question #3 : How To Find The Missing Number In A Set

Which of the following pairs of events are mutually exclusive?

Possible Answers:

the positive numbers, the numbers less than

the numbers less than , the numbers greater than

(-3x)^2 for all values, the numbers greater than

the negative numbers, (-4)^3

the even numbers, the numbers greater than

Correct answer:

the positive numbers, the numbers less than

Explanation:

We can think of mutually exclusive in terms of a Venn diagram. We are looking for the pair of events that has nothing in common. The only sets that don't have a single number in common are the positive numbers and the numbers less than –200.

Report an Error

Example Question #4 : How To Find The Missing Number In A Set

In the set of positive, distinct integers [a, b, c, d, e] , the median is . What is the minimum value of a + b + c + d + e ?

Possible Answers:

Correct answer:

Explanation:

We know that all the numbers are positive, so they are greater than zero. We also know that the numbers are distinct, so they are all unique.

We can write this as {a + b + 8 + d + e}, so let a and b be 1 and 2 respectively, the smallest possible positive, distinct integers. Then let d and e be 9 and 10, the smallest positive, distinct integers larger than 8.

We add the set {1 + 2 + 8 + 9 + 10} to find it equals 30.

Report an Error

All GRE Math Resources

13 Diagnostic Tests 452 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

French Tutors in Philadelphia, French Tutors in San Diego, GMAT Tutors in Atlanta, Statistics Tutors in Miami, Statistics Tutors in Los Angeles, SSAT Tutors in Washington DC, Chemistry Tutors in Washington DC, SSAT Tutors in Miami, Physics Tutors in Denver, Chemistry Tutors in Dallas Fort Worth

Popular Courses & Classes

ACT Courses & Classes in Los Angeles, LSAT Courses & Classes in Boston, ACT Courses & Classes in Boston, SSAT Courses & Classes in New York City, MCAT Courses & Classes in Miami, ISEE Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in San Diego, Spanish Courses & Classes in Seattle, SSAT Courses & Classes in Houston, ISEE Courses & Classes in Washington DC

Popular Test Prep

MCAT Test Prep in San Diego, GMAT Test Prep in New York City, SSAT Test Prep in New York City, SSAT Test Prep in Philadelphia, SAT Test Prep in Phoenix, ISEE Test Prep in Washington DC, LSAT Test Prep in Houston, MCAT Test Prep in Chicago, ISEE Test Prep in Los Angeles, LSAT Test Prep in Washington DC

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:

GRE Math : Sets

Study concepts, example questions & explanations for GRE Math

All GRE Math Resources

Example Questions

Example Question #1 : How To Find The Missing Number In A Set

Example Question #2 : How To Find The Missing Number In A Set

Example Question #3 : How To Find The Missing Number In A Set

Example Question #4 : How To Find The Missing Number In A Set

All GRE Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details