GMAT Math : Arithmetic

Study concepts, example questions & explanations for GMAT Math

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Example Questions

Example Question #1 : Percents

Max the cat has 70 toy mice. If 30% of the mice are new, how many mice are not new?

Possible Answers:

21

30

60

40

49

Correct answer:

49

Explanation:

If 30% of the mice are new, then 70% are not new.

\dpi{100} \small 0.7\times 70=49

Example Question #4 : Percents

37% of the greatest common factor of 50 and 350 is

Possible Answers:

Correct answer:

Explanation:

The greatest common factor of 50 and 350 is simply 50.  Now we must take 37% of 50. 

.

Example Question #5 : Percents

A shirt costs $60. The price was then increased by 30%. What is the new price as expressed in terms of the original price?

Possible Answers:

Correct answer:

Explanation:

Example Question #2 : Percents

A GMAT score increases from 450 to 540. By what percent did the score increase?

Possible Answers:

Correct answer:

Explanation:

Example Question #3 : Percents

Out of 60 students, 15 prefer to study at night. What percent of students prefer nighttime studying?

Possible Answers:

15%

25%

4%

60%

Correct answer:

25%

Explanation:

Cross multiply

Divide both sides by 60

Example Question #8 : Percents

Geri earns a commission of 22.5% on everything she sells for KM Cosmetics. As of the fifteenth of the month, she has sold $2,100 worth of cosmetics. How much more in cosmetics must she sell in order to earn at least $900 commission for the month?

Possible Answers:

She has already sold enough to earn $900 commission.

Correct answer:

Explanation:

Commission can be calculated by muliplying the commission rate - 22.5%, or 0.225 - by the amount of sales, so the amount of sales needed can be found by dividing the desired commission by 0.225.

Since Geri has already sold $2,100 worth of cosmetics, she needs to sell  more.

Example Question #1 : Calculating Percents

A number is multiplied by six; then its decimal point is moved to the left three spaces. This is the same as taking what percent of the number?

Possible Answers:

 %

 %

 %

 %

 %

Correct answer:

 %

Explanation:

Let's do these two things to 100. Multiplying 100 by 6 yields 600; moving the decimal point three places left changes 600, or 600.0, to 0.60.

This means that the new number is 0.60% , or  %, of the original number.

Example Question #1 : Percents

A number is divided by two; then its decimal point is moved to the left two spaces. This is the same as taking what percent of the number?

Possible Answers:

 %

 %

 %

 %

 %

Correct answer:

 %

Explanation:

Let's do these two things to 100. Dividing 100 by 2 yields 50; moving the decimal point two places left changes 50, or 50.0, to 0.50.

This means that the new number is 0.50% , or  %, of the original number.

Example Question #11 : Percents

An elementary school was polled to find out what the children's favorite foods were. When asked what their favorite foods were, 42 students said pizza. 33 students said cheeseburgers, 12 students said hot dogs, 10 students said chicken nuggets, and the remaining 18 students filled in other various answers. What percentage of the students had pizza as their favorite food?

Possible Answers:

36.5%

33.3%

39%

40.5%

42%

Correct answer:

36.5%

Explanation:

To calculate the percentage of students who chose pizza as their favorite food, you take the number of students who chose pizza and divide by the total number of students. So first, we must calculate the total number of students. Which is simply  total sudents.

So,

Multiply our result by 100 to get into percentage form we get 36.5% 

 

Example Question #81 : Arithmetic

Let  be a positive real number. In terms of , what percent of 20 is ?

Possible Answers:

 %

 %

 %

 %

 %

Correct answer:

 %

Explanation:

Set up a proportion statement.

Solve for :

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