GMAT Math : Problem-Solving Questions

Study concepts, example questions & explanations for GMAT Math

All GMAT Math Resources

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

Example Questions

Example Question #51 : Calculating Percents

Anthony is trying to decide if he should use a coupon for $\$ 20$ off or a coupon for a % discount on the same item. The item costs $\$145$ before any discounts are applied. Which coupon will save him the most money?

Possible Answers:

The % discount code

Both will save Anthony the same amount

$\$ 20$ off coupon

Correct answer:

The % discount code

Explanation:

In order to solve this problem we need to know how much he'll be saving when he uses each:

We already know he can save $\$ 20$ with a coupon but what about the discount code?

(0.15)(145)=21.75

So, using the discount code he would save $\$1.75$ more than using the coupon

Report an Error

Example Question #122 : Arithmetic

In a bag, Mary has red marbles, blue marbles, and green marbles. What percent of the marbles are red?

Possible Answers:

$40\%$

$10\%$

$50\%$

$20\%$

$60\%$

Correct answer:

$40\%$

Explanation:

To calculate the percentage, you must first find the fraction of marbles that are red and then convert the fraction to a percent.

$\% \textup{red }= \frac{32}{32+40+8}=\frac{32}{80}=\frac{4}{10}=40\%$

Report an Error

Example Question #131 : Arithmetic

In a bag, Mary has red marbles, blue marbles, and green marbles. What percent of the marbles are blue?

Possible Answers:

$30\%$

$40\%$

$50\%$

$10\%$

$60\%$

Correct answer:

$50\%$

Explanation:

To calculate the percentage, you must first find the fraction of marbles that are blue and then convert the fraction to a percent.

$\% \textup{blue}= \frac{40}{32+40+8}=\frac{40}{80}=\frac{5}{10}=50\%$

Report an Error

Example Question #52 : Calculating Percents

In a bag, Mary has red marbles, blue marbles, and green marbles. What percent of the marbles are green?

Possible Answers:

$30\%$

$20\%$

$40\%$

$50\%$

$10\%$

Correct answer:

$10\%$

Explanation:

To calculate the percentage, you must first find the fraction of marbles that are green and then convert the fraction to a percent.

$\% \textup{green} = \frac{8}{32+40+8}=\frac{8}{80}=\frac{1}{10}=10\%$

Report an Error

Example Question #51 : Calculating Percents

Convert the following fraction into a percent:

$\frac{4}{25}$

Possible Answers:

$8\%$

$60\%$

$4\%$

$16\%$

Correct answer:

$16\%$

Explanation:

To convert a fraction into a percent, you must make the demoniator 100, and then the numerator is the percent. Thus,

$\frac{4}{25}=\left (\frac{4}{25} \right )\left (\frac{4}{4} \right )=\frac{16}{100}=16\%$

Report an Error

Example Question #52 : Calculating Percents

Decrease four fifths by twenty percent. What is the result?

Possible Answers:

$\frac{3}{4}$

$\frac{3}{5}$

$\frac{18}{25}$

$\frac{16}{25}$

None of the other responses gives the correct answer.

Correct answer:

$\frac{16}{25}$

Explanation:

Decreasing a number by 20% is the same as taking $(100-20) \% = 80 \%$ of that number. 80% of $\frac{4}{5}$ is

$\frac{80}{100} \cdot \frac{4}{5} = \frac{320}{500} = \frac{320 \div 20 }{500 \div 20} = \frac{16}{25}$ ,

the correct choice.

Report an Error

Example Question #53 : Calculating Percents

Four fifths is what percent of twenty?

Possible Answers:

$3 \frac{1}{5} \%$

$4 \%$

None of the other responses gives the correct answer.

$4 \frac{4}{5} \%$

$5\%$

Correct answer:

$4 \%$

Explanation:

If $\frac{4}{5}$ is percent of 20, then

$\frac{N}{100} \cdot 20 = \frac{4}{5}$

$\frac{20 N}{100} = \frac{4}{5}$

$\frac{20 N}{100} \cdot \frac{100}{20} = \frac{4}{5} \cdot \frac{100}{20}$

$N = \frac{400}{100} = 4$

Therefore, the correct choice is 4%.

Report an Error

Example Question #58 : Percents

Increase a number by twenty percent to yield four fifths. What is that number?

Possible Answers:

$\frac{18}{25}$

$\frac{16}{25}$

$\frac{3}{4}$

$\frac{3}{5}$

$\frac{2}{3}$

Correct answer:

$\frac{2}{3}$

Explanation:

Increasing a number by 20% is the same as taking $(100+20) \% = 120 \%$ of that number, which we will call . 120% of is $\frac{4}{5}$ , so

$\frac{120}{100} \cdot N = \frac{4}{5}$

$\frac{100}{120} \cdot \frac{120}{100} \cdot N = \frac{100}{120} \cdot \frac{4}{5}$

$N = \frac{400}{600} = \frac{400\div 200}{600 \div 200} = \frac{2}{3}$

Report an Error

Example Question #53 : Calculating Percents

Change the following decimal into a percent.

Possible Answers:

$.54\%$

$54\%$

$.0054\%$

$5.4\%$

Correct answer:

$54\%$

Explanation:

To convert a decimal into a percent, simply multiply by 100 . Thus,

$.54*100=54\%$

Report an Error

Example Question #1684 : Gmat Quantitative Reasoning

Decrease a number by $20\%$ to yield $\frac{4}{5}$ . What is that number?

Possible Answers:

$\frac{7}{8 }$

$1\frac{1}{5}$

$\frac{24}{25}$

$\frac{5}{6}$

Correct answer:

Explanation:

Decreasing a number by $20\%$ is the same as taking $(100-20) \% = 80 \%$ of that number, which we will call . $80\%$ of is $\frac{4}{5}$ , so

$\frac{80}{100} \cdot N = \frac{4}{5}$

$\frac{100}{80} \cdot \frac{80}{100} \cdot N = \frac{100}{80} \cdot \frac{4}{5}$

$N = \frac{400}{400} = 1$

Report an Error

All GMAT Math Resources

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

Popular Subjects

Calculus Tutors in New York City, Physics Tutors in San Diego, SAT Tutors in Denver, Statistics Tutors in Denver, Physics Tutors in Chicago, ACT Tutors in Washington DC, Math Tutors in Phoenix, Statistics Tutors in Boston, Math Tutors in Dallas Fort Worth, English Tutors in Atlanta

Popular Courses & Classes

Spanish Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Dallas Fort Worth, SAT Courses & Classes in Chicago, SSAT Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in Seattle, ACT Courses & Classes in Dallas Fort Worth, GMAT Courses & Classes in San Francisco-Bay Area, ACT Courses & Classes in Denver, LSAT Courses & Classes in Miami, SSAT Courses & Classes in Phoenix

Popular Test Prep

MCAT Test Prep in Boston, MCAT Test Prep in New York City, GRE Test Prep in Miami, SSAT Test Prep in Los Angeles, GMAT Test Prep in San Diego, LSAT Test Prep in Boston, GMAT Test Prep in Dallas Fort Worth, SSAT Test Prep in Seattle, SSAT Test Prep in Philadelphia, ACT Test Prep in Phoenix

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 : Problem-Solving Questions

Study concepts, example questions & explanations for GMAT Math

All GMAT Math Resources

Example Questions

Example Question #51 : Calculating Percents

Example Question #122 : Arithmetic

Example Question #131 : Arithmetic

Example Question #52 : Calculating Percents

Example Question #51 : Calculating Percents

Example Question #52 : Calculating Percents

Example Question #53 : Calculating Percents

Example Question #58 : Percents

Example Question #53 : Calculating Percents

Example Question #1684 : Gmat Quantitative Reasoning

All GMAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details