GRE Math : Arithmetic

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 #3 : How To Multiply Decimals

You bought a dozen eggs marked at $\$2.29$ and received $\$2.55$ change from $\$5.00$ . What is the percent of sales tax?

Possible Answers:

$6\%$

$5\%$

$8\%$

$7\%$

Correct answer:

$7\%$

Explanation:

Set the equation up as

(x)($2.29)= $2.45

Solve for , which equals $\frac{2.45}{2.29}$

x=1.0698

Therefore the percent sales tax is:

$(1.0698-1) \times 100=6.98\% \approx 7\%$

Report an Error

Example Question #371 : Arithmetic

Solve for :

0.22b = 1.32

Possible Answers:

b = .6

b = 6

b = 7

b = 4

b = .4

Correct answer:

b = 6

Explanation:

To solve, first divide both sides of the equation by 0.22 , leaving you with:

$b = \frac{1.32}{0.22}$

Then simply divide the decimals, which will yield your answer:

b = 6 .

If you have trouble dividing the decimals, you can multiply both of the numbers by one followed by a number of zeroes equal to the number of digits beyond the decimal point (one hundred, in this case), then divide, then divide your result by the same number (one hundred again).

Report an Error

Example Question #372 : Arithmetic

Solve for (round to the nearest hundredth if necessary)

0.8c = 1.3

Possible Answers:

c = 1.625

c = 1.63

c = 1.6

c =0 .625

c = 2.625

Correct answer:

c = 1.625

Explanation:

To solve, first divide both sides of the equation by :

$\frac{.8c}{.8} = \frac{1.3}{.8}$

$c = \frac{1.3}{.8}$

To do this division, you can divide as normal, or if you are having trouble, you can multiply both numbers by 10 to eliminate the decimal:

$\frac{1.3}{.8} = \frac{13}{8}$

$c = \frac{13}{8}$

c = 1.625

Report an Error

Example Question #373 : Arithmetic

Solve for :

0.22q = 22.22

Possible Answers:

q = 111

q = 101

q = 10

q = 100

q = 11

Correct answer:

q = 101

Explanation:

To solve, first divide both sides of the equation by so you isolate the variable:

0.22q/0.22 = 22.22/0.22

q = 22.22/0.22

Then, divide the decimal--if you have trouble doing so, remember that you can multiply both numbers by 100 to eliminate the decimal, and then divide as normal:

q = 2222/22

q = 101

Report an Error

Example Question #374 : Arithmetic

Solve for :

0.25x = 6.5

Possible Answers:

x = .26

x = 26

x = 2.6

x = 260

x = 62

Correct answer:

x = 26

Explanation:

To solve, first divide both sides of the equation by so you can isolate the variable:

0.25x/0.25 = 6.5/0.25

x = 6.5/0.25

Now divide. If you have trouble dividing decimals, you may multiply both dividend and divisor by 100 to eliminate the decimal and divide normally:

x=6.5/0.25 = 650/25

x = 26

Report an Error

Example Question #375 : Arithmetic

Solve for :

0.3y = 3.33

Possible Answers:

y = 11.1

y = 111

y = 111.11

y = 1.111

y = .111

Correct answer:

y = 11.1

Explanation:

To solve, first divide both sides of the equation by so you isolate your variable:

0.3y/0.3 = 3.33/0.3

y = 3.33/0.3

Then, divide the decimals. If you have trouble with this, you can multiply both numbers by 100 to eliminate the decimals and then divide normally:

y = 3.33/0.3 = 333/30

y = 11.1

Report an Error

Example Question #375 : Arithmetic

Which quantity is greater? When 0<x<1

Quantity A

x^2

Quantity B

Possible Answers:

Quantity B is greater.

The two quantities are equal.

Quantity A is greater.

The relationship cannot be determined from the information given.

Correct answer:

Quantity B is greater.

Explanation:

X must equal a number between 0 and 1.

If you square any decimal number in this range you will get an answer less than 1. Try (0.999)^2 = 0.998.

Therefore Quantity B is always larger.

Report an Error

Example Question #2 : Basic Squaring / Square Roots

Which is greater, when $\small \small \small 0<x<1?$

Quantity A

$\small x^2$

Quantity B

$\small \frac{x}{2}$

Possible Answers:

Quantity B is greater

Quantity A is greater

The relationship cannot be determined from the information given

The two quantities are equal

Correct answer:

The relationship cannot be determined from the information given

Explanation:

When $\small 0<x<1$ , $\small x$ must be a decimal. Therefore it will decrease when it is squared. To find this answer we can substitute two values for $\small x$ .

$\small x = 0.9$ and $\small x = 0.1$

When $\small x = 0.9$

$\small \small 0.9^2 = 0.81 > \frac{0.9}{2} = 0.45$

But when $\small x = 0.1$

$\small 0.1^2 = 0.01 < \frac{0.1}{2} = 0.05$

Therefore we cannot tell which is greater based on the information given.

Report an Error

Example Question #3 : Basic Squaring / Square Roots

Which is greater, when $\small \small 0<x<1?$

Quantity A

$\small \small x$

Quantity B

$\small 2x^2$

Possible Answers:

The two quantities are equal

Quantity A is greater

Quantity B is greater

The relationship cannot be determined from the information given

Correct answer:

The relationship cannot be determined from the information given

Explanation:

When $\small 0<x<1$ , $\small x$ must be a decimal. Therefore it will decrease when it is squared. To find this answer we can substitute two values for $\small x$ .

$\small x = 0.9$ and $\small x = 0.1$

When $\small x = 0.9$

$\small \small \small 2\cdot0.9^2 = 1.62 > 0.9$

But when $\small x = 0.1$

$\small \small 2\cdot0.1^2 = 0.02 < 0.1$

Therefore we cannot tell which is greater based on the information given.

Report an Error

Example Question #4 : Basic Squaring / Square Roots

Which is greater, when $\small -1<x<0?$

Quantity A

$\small \left | x\right |$

Quantity B

$\small x^2$

Possible Answers:

Quantity A is greater

The two quantities are equal

Quantity B is greater

The relationship cannot be determined from the information given

Correct answer:

Quantity A is greater

Explanation:

When $\small \small -1<x<0$ , $\small x$ must be a negative decimal. Therefore it will decrease when it is squared and become positive. The first quantity $\small \left | x\right |$ is the distance to 0 from $\small x$ , in other words the positive value of $\small x$ . The second quantity $\small x^2$ will always be positive, but because it is a decimal it will always be less than $\small x$ , if $\small x$ was a positive quantity. Since $\small \left | x\right |\equiv x$ , then $\small \left | x\right |$ wiill always be greater than $\small x^2$ .

Quantity A is greater.

Report an Error

All GRE Math Resources

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

Popular Subjects

Spanish Tutors in San Francisco-Bay Area, MCAT Tutors in Dallas Fort Worth, Physics Tutors in Phoenix, ISEE Tutors in Seattle, ISEE Tutors in Miami, ACT Tutors in San Francisco-Bay Area, ACT Tutors in Houston, ACT Tutors in Atlanta, English Tutors in Dallas Fort Worth, Spanish Tutors in Chicago

Popular Courses & Classes

Spanish Courses & Classes in New York City, GMAT Courses & Classes in Boston, Spanish Courses & Classes in Boston, GRE Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in New York City, ISEE Courses & Classes in Philadelphia, ACT Courses & Classes in Denver, SAT Courses & Classes in San Diego, LSAT Courses & Classes in Houston, SSAT Courses & Classes in San Francisco-Bay Area

Popular Test Prep

ISEE Test Prep in Atlanta, LSAT Test Prep in Philadelphia, ACT Test Prep in Denver, GMAT Test Prep in Philadelphia, LSAT Test Prep in Phoenix, MCAT Test Prep in Phoenix, ISEE Test Prep in Phoenix, SAT Test Prep in Philadelphia, SSAT Test Prep in Boston, GMAT Test Prep in San Francisco-Bay Area

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 : Arithmetic

Study concepts, example questions & explanations for GRE Math

All GRE Math Resources

Example Questions

Example Question #3 : How To Multiply Decimals

Example Question #371 : Arithmetic

Example Question #372 : Arithmetic

Example Question #373 : Arithmetic

Example Question #374 : Arithmetic

Example Question #375 : Arithmetic

Example Question #375 : Arithmetic

Example Question #2 : Basic Squaring / Square Roots

Example Question #3 : Basic Squaring / Square Roots

Example Question #4 : Basic Squaring / Square Roots

All GRE Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details