GMAT Math : Problem-Solving Questions

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 #23 : Calculating Arithmetic Mean

The arithmetic mean of the set $\left \{ a, b, c, d \right \}$ is 250.

Which of the following is the arithmetic mean of the set $\left \{ a, b, c, d, e\right \}$ ?

Possible Answers:

$200 + \frac{1}{4}e$

$312\frac{1}{2} + \frac{1}{4}e$

$250 + \frac{1}{4}e$

$250 + \frac{1}{5}e$

$200 + \frac{1}{5}e$

Correct answer:

$200 + \frac{1}{5}e$

Explanation:

$\frac{a+b+c+d}{4} = 250$

a+b+c+d = 1,000

a+b+c+d +e = 1,000 + e

$\frac{a+b+c+d +e }{5}= \frac{1,000 + e}{5} = 200 + \frac{1}{5}e$ ,

which is the correct choice.

Report an Error

Example Question #43 : Descriptive Statistics

Jane's average score in her biology class is currently . What must be Jane's score on the sixth and last test in order for her final average score to be ?

Possible Answers:

107

103

105

101

Correct answer:

107

Explanation:

We are looking for the grade Jane must get on her 6th test in order to raise her average of 65 from the 5 previous tests to 72.

The sum of Jane's grades from the previous 5 tests is obtained by using the formula of the arithmetic mean.

mean = sum of values/ number of values

sum of values = mean x number of values

$=65\times5=325$

Let x be Jane's score on the 6th test:

$\frac{325+x}{6}=72$

325+x=432

x=432-325

x=107

Jane must get a score of 107 on her last test in order to get an average score of 72 in her class.

Report an Error

Example Question #31 : Arithmetic Mean

If is a negative number, what is the difference between the mean and the median of the following numbers:

n, n+7, n-8, n-3, n+9

Possible Answers:

Correct answer:

Explanation:

To find the median, write the numbers in ascending orders.

n-8, n-3, n, n+7, n+9

Remember the median is the midpoint value with half of the values below it and the other half of the values above it.

The median is the third number which is n.

The mean is:

$\frac{(n-8)+(n-3)+n+(n+7)+(n+9)}{5}=\frac{5n-11+16}{5}$

$=\frac{5n+5}{5}$

=n+1

mean - median = n+1-n=1

Report an Error

Example Question #2052 : Problem Solving Questions

The arithmetic mean of the set $\left \{ a, b, c, d\right \}$ is 100.

Which of these expressions is equal to the arithmetic mean of the set $\left \{ a, b, c \right \}$ ?

Possible Answers:

$100 - \frac{1}{4}d$

$133\frac{1}{3} - \frac{1}{3}d$

$75 - \frac{1}{4}d$

$100 - \frac{1}{3}d$

$75 - \frac{1}{3}d$

Correct answer:

$133\frac{1}{3} - \frac{1}{3}d$

Explanation:

$\frac{a+b+c+d}{4} = 100$

a+b+c+d = 400

a+b+c = 400 - d

$\frac{a+b+c }{3}= \frac{400 - d}{3} = \frac{400}{3} - \frac{d}{3} = 133\frac{1}{3} - \frac{1}{3}d$

The arithmetic mean of $\left \{ a, b, c \right \}$ is equal to $133\frac{1}{3} - \frac{1}{3}d$

Report an Error

Example Question #42 : Descriptive Statistics

The arithmetic mean of the set $\left \{ a, b, c, d, e, f, 100\right \}$ is 250 .

Give the arithmetic mean of the set $\left \{ a, b, c, d, e, f\right \}$ .

Possible Answers:

$308\frac{1}{3}$

225

$235 \frac{5}{7}$

$191\frac{2}{3}$

275

Correct answer:

275

Explanation:

We are told that:

$\frac{a+b+c+d+e+f+100 }{7} = 250$

Multiplying each side by :

$\frac{a+b+c+d+e+f+100 }{7} \cdot 7 = 250 \cdot 7$

a+b+c+d+e+f+100 =1,750

Subtracting 100 from each side:

a+b+c+d+e+f =1,650

At this point, we can solve for the arithmetic mean of the set $\left \{ a, b, c, d, e, f\right \}$ :

$\frac{a+b+c+d+e+f }{6}=\frac{1,650}{6} = 275$ , the arithmetic mean of the set $\left \{ a, b, c, d, e, f\right \}$ .

Report an Error

Example Question #45 : Descriptive Statistics

A bakery sold a daily average of 25 croissants last week. The table above shows the number of croissants sold each day except Sunday. Find the number of croissants sold on Sunday.

Possible Answers:

Correct answer:

Explanation:

Let be the number of croissants sold on Sunday. The daily average of croissants sold in the past week is:

$\frac{29+15+12+10+34+38+x}{7}=25$

Solve for :

29+15+12+10+34+38+x=175

138+x=175

x=175-138=37

The number of croissants sold on Sunday is .

Report an Error

Example Question #2051 : Problem Solving Questions

Five friends go out to a restaurant to celebrate the birthday of one of them. The cost of the meal for all of them including tax is $\$280.00$ . They decide to leave a $15\%$ tip and to split the total amount equally. If the person celebrating his or her birthday does not pay, how much do each of the other four friends pay?

Possible Answers:

$\$64.40$

$\$88.50$

$\$74.50$

$\$80.50$

$\$59.50$

Correct answer:

$\$80.50$

Explanation:

The total cost of the meal including tax and the $15\%$ tip is:

$280\times(1+0.15)=322$

They split the total amount equally between four of them, so each of those four people then pays:

$\frac{322}{4}=80.5$

Each of the four friends pays $\$80.50$ .

Report an Error

Example Question #31 : Calculating Arithmetic Mean

Calculate the arithmetic mean for the following set of data:

(13, 7, 5, 6, 8, 9)

Possible Answers:

Correct answer:

Explanation:

To calculate the mean of a set of data, we sum the values and then divide by the number of values present. In this case we have 6 values, so we add them all together and then divide by 6 to find the arithmetic mean for this set of data:

$\mu=\frac{\sum_{i=1}^{6}x_i}{6}=\frac{13+7+5+6+8+9}{6}=\frac{48}{6}=8$

Report an Error

Example Question #32 : Calculating Arithmetic Mean

Calculate the mean of the following set of data:

$\begin{Bmatrix} 7, 11, 8, 13, 14, 9, 8 \end{Bmatrix}$

Possible Answers:

Correct answer:

Explanation:

To calculate the mean of a set of a data, we add up all the entries and then divide the result by the number of entries in the data set. There are seven entries in the given set, so we'll add them up and then divide by seven to find the mean:

$\mu=\frac{7+11+8+13+14+9+8}{7}=\frac{70}{7}=10$

Report an Error

Example Question #2052 : Problem Solving Questions

The arithmetic mean of and is 35. Also, x - y = 30 . What is ?

Possible Answers:

y = 20

y = 30

y = 25

y = 40

y = 35

Correct answer:

y = 20

Explanation:

If the arithmetic mean of and is 35, then

$\frac{x+ y}{2} = 35$ .

This, along with the statement

x - y = 30 ,

form a system of equations that can be solved as follows:

x - y + y = 30 + y

x = 30 + y

Substitute:

$\frac{ 30 + y+ y}{2} = 35$

$\frac{ 30 +2y}{2} = 35$

$\frac{ 30 +2y}{2} \cdot 2 = 35\cdot 2$

30 +2y = 70

30 +2y - 30 = 70 - 30

2y = 40

$2y \div 2 = 40 \div 2$

y = 20

Report an Error

All GMAT Math Resources

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

Popular Subjects

Statistics Tutors in Philadelphia, Computer Science Tutors in Los Angeles, Physics Tutors in Houston, MCAT Tutors in Houston, Spanish Tutors in Chicago, ISEE Tutors in Miami, ACT Tutors in Chicago, Math Tutors in Chicago, Statistics Tutors in Chicago, ACT Tutors in Denver

Popular Courses & Classes

SSAT Courses & Classes in Philadelphia, GRE Courses & Classes in Philadelphia, ACT Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in Denver, GMAT Courses & Classes in Washington DC, ACT Courses & Classes in San Diego, ISEE Courses & Classes in Philadelphia, MCAT Courses & Classes in San Diego, LSAT Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in Dallas Fort Worth

Popular Test Prep

SAT Test Prep in San Francisco-Bay Area, MCAT Test Prep in Houston, ACT Test Prep in San Diego, LSAT Test Prep in Houston, SAT Test Prep in Chicago, MCAT Test Prep in Dallas Fort Worth, GRE Test Prep in Miami, GMAT Test Prep in Boston, SSAT Test Prep in New York City, SSAT Test Prep in Atlanta

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 #23 : Calculating Arithmetic Mean

Example Question #43 : Descriptive Statistics

Example Question #31 : Arithmetic Mean

Example Question #2052 : Problem Solving Questions

Example Question #42 : Descriptive Statistics

Example Question #45 : Descriptive Statistics

Example Question #2051 : Problem Solving Questions

Example Question #31 : Calculating Arithmetic Mean

Example Question #32 : Calculating Arithmetic Mean

Example Question #2052 : Problem Solving Questions

All GMAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details