GRE Math : GRE Quantitative Reasoning

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 #571 : Gre Quantitative Reasoning

If the average (arithmetic mean) of , , and is , what is the average of x+2 , y-6 , and ?

Possible Answers:

There is not enough information to determine the answer.

Correct answer:

Explanation:

If we can find the sum of $\dpi{100} \small x+2$ , $\dpi{100} \small y-6$ , and 10, we can determine their average. There is not enough information to solve for $\dpi{100} \small x$ or $\dpi{100} \small y$ individually, but we can find their sum, $\dpi{100} \small x+y$ .

Write out the average formula for the original three quantities. Remember, adding together and dividing by the number of quantities gives the average: $\frac{x + y + 9}{3} = 12$

Isolate $\dpi{100} \small x+y$ :

$x + y + 9 = 36$

$x + y = 27$

Write out the average formula for the new three quantities:

$\frac{x + 2 + y - 6 + 10}{3} = ?$

Combine the integers in the numerator:

$\frac{x + y + 6}{3} = ?$

Replace $\dpi{100} \small x+y$ with 27:

$\frac{27+ 6}{3} = \frac{33}{3} = 11$

Report an Error

Example Question #32 : How To Find Arithmetic Mean

The arithmetic mean of a, b, and c is

Quantity A: The arithmetic mean of 2a+b,b+3c,39-c

Quantity B:

Possible Answers:

The two quantities are equal.

Quantity B is greater.

The relationship cannot be established.

Quantity A is greater.

Correct answer:

The two quantities are equal.

Explanation:

To solve this problem, calculate Quantity A.

The arithmetic mean for a set of values is the sum of these values divided by the total number of values:

$\frac{1}{n}\sum_{i=1}^n x_i$

For the set 2a+b,b+3c,39-c , the mean is

$\frac{(2a+b)+(b+3c)+(39-c)}{3}$

$\frac{2a+2b+2c+39}{3}$

$\frac{2a+2b+2c}{3}+13$

Now recall that we're told that arithmetic mean of a, b, and c is , i.e.

$\frac{a+b+c}{3}=13$

Using this fact, return to what we've written for Quantity A:

$2(\frac{a+b+c}{3})+13$

2(13)+13

Quantity B is also

So the two quantities are equal.

Report an Error

Example Question #33 : How To Find Arithmetic Mean

The arithmetic mean of a and b is

Quantity A: a^3+3a^2b+3ab^2+b^3

Quantity B: 125

Possible Answers:

Quantity B is greater.

Quantity A is greater.

The two quantities are equal.

The relationship cannot be established.

Correct answer:

Quantity A is greater.

Explanation:

The key to this problem is to recognize that Quantity A can be rewritten.

The function a^3+3a^2b+3ab^2+b^3

can be written as

(a+b)^3

Now, recall what we're told about the mean of a and b, namely that it equals .

This is equivalent to saying

$\frac{a+b}{2}=5$

From this, we can see that

a+b=10

Therefore, we can find a value for Quantity A:

10^3

1000

Quantity A is greater.

Report an Error

Example Question #574 : Gre Quantitative Reasoning

Looking at all the multiples of 5 from 5 to 50, what is the mean of all of those values?

Possible Answers:

27.5

Correct answer:

27.5

Explanation:

All of the multiples of 5 from 5 to 50 are

5,10,15,20,25,30,35,40,45,50 .

The total of all of them is 275.

Then the mean will be 27.5

$\textup{mean}=\frac{\textup{Sum of Multiples}}{\textup{Total number of Multiples}}=\frac{275}{10}$ .

Report an Error

Example Question #131 : Data Analysis

What is the average grade of a student who got a in credit history course, in a credit math course, in a credit English course, in a credit Chinese course, and in credit biology course? Assume all credits are valued equally and round to the nearest hundredth.

Possible Answers:

87.54

88.93

89.88

89.32

88.90

Correct answer:

88.93

Explanation:

In order to solve this problem, we must know how to find the arithmetic mean for a set of numbers. The arithmetic mean is defined as the sum of all the numbers added up divided by the number. In this case, we first have to find the amount of credits present. Adding all the credits up, we find there are 15 credits. Now, by adding up the grades for each of those credits and dividing by the total number of credits, we can solve for the average grade of the student.

$\frac{3(92)+4(87)+3(88)+2(94)+3(86)}{4+3+3+2+3}=88.93$

Report an Error

Example Question #1 : Mode

Find the mode of the following set of numbers:

4,6,12,9,12,90,12,18,12,12,12,4,4,4,9,7,76

Possible Answers:

Correct answer:

Explanation:

Mode is the item that appears most often.

Report an Error

Example Question #1 : Mode

Find the mode:

13, 19, 13, 16, 12, 12, 14, 14, 12

Possible Answers:

12.5

13.5

Correct answer:

Explanation:

The mode is the number that appears most frequently in a given set.

Report an Error

Example Question #133 : Data Analysis

The Bobcats scored 91, 83, 82, 82, 78, 87, 89, 96, and 86 points in their last nine home games. What is the difference between the average and the mode of their points scored?

Possible Answers:

Cannot be determined

Correct answer:

Explanation:

The average is the sum of the points scored in the last nine games divided by 9, which equals 86. The mode is the score which occurs most often, 82. 86 – 82 = 4

Report an Error

Example Question #1 : Mode

A survey has shown that the number of children that newlyweds plan to have is $\textup{1,1,2,3,4,2,3,4,5,1,2,2,3}$ respectively. What is the mode of the number of children newlyweds tend to have based on this survey?

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we must be clear on the definition of the mode of a set of numbers. The mode is defined as the number that occurs the most frequently within a set of numbers. In this case, we can see that the number 1 occurs 3 times, the number 2 occurs 4 times, the number 3 occurs 3 times, the number 4 occurs 2 times and the number 5 occurs only one time. Therefore the mode of this survey is 2.

Report an Error

Example Question #3 : Mode

Set_A=[1,4,10,1,3,4,10,4]

Quantity A: The mode of Set_A

Quantity B: The median of Set_A

Possible Answers:

The two quantities are equal.

The relationship cannot be determined.

Quantity B is greater.

Quantity A is greater.

Correct answer:

The two quantities are equal.

Explanation:

Begin by organizing the set in numerical order

Set_A=[1,4,10,1,3,4,10,4]

Set_A=[1,1,3,4,4,4,10,10]

The mode is the value which repeats the most, so

Quantity A:

Now, since there are an even number of values, the median is the average of the two middle values:

$\frac{4+4}{2}$

Quantity B:

The two quantities are equal.

Report an Error

All GRE Math Resources

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

Popular Subjects

Chemistry Tutors in Phoenix, Statistics Tutors in New York City, ISEE Tutors in Phoenix, French Tutors in Los Angeles, ISEE Tutors in Dallas Fort Worth, Chemistry Tutors in New York City, Algebra Tutors in Boston, Reading Tutors in Houston, English Tutors in Denver, French Tutors in Chicago

Popular Courses & Classes

Spanish Courses & Classes in Washington DC, SSAT Courses & Classes in Miami, SSAT Courses & Classes in Seattle, SSAT Courses & Classes in San Diego, SSAT Courses & Classes in Houston, SSAT Courses & Classes in Chicago, ISEE Courses & Classes in Washington DC, ACT Courses & Classes in Dallas Fort Worth, GMAT Courses & Classes in Dallas Fort Worth, SAT Courses & Classes in Houston

Popular Test Prep

ISEE Test Prep in San Francisco-Bay Area, SAT Test Prep in San Diego, GMAT Test Prep in Washington DC, ACT Test Prep in Houston, MCAT Test Prep in Atlanta, ACT Test Prep in Dallas Fort Worth, SSAT Test Prep in New York City, MCAT Test Prep in Phoenix, ACT Test Prep in Los Angeles, MCAT Test Prep in Philadelphia

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 : GRE Quantitative Reasoning

Study concepts, example questions & explanations for GRE Math

All GRE Math Resources

Example Questions

Example Question #571 : Gre Quantitative Reasoning

Example Question #32 : How To Find Arithmetic Mean

Example Question #33 : How To Find Arithmetic Mean

Example Question #574 : Gre Quantitative Reasoning

Example Question #131 : Data Analysis

Example Question #1 : Mode

Example Question #1 : Mode

Example Question #133 : Data Analysis

Example Question #1 : Mode

Example Question #3 : Mode

All GRE Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details