GMAT Math : Arithmetic

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Example Questions

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:

$40\%$

$60\%$

$10\%$

$30\%$

$50\%$

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.

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

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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.

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

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Example Question #131 : Arithmetic

Convert the following fraction into a percent:

$\frac{4}{25}$

Possible Answers:

$16\%$

$60\%$

$4\%$

$8\%$

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,

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

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Example Question #132 : Arithmetic

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

Possible Answers:

$\frac{3}{4}$

$\frac{18}{25}$

None of the other responses gives the correct answer.

$\frac{16}{25}$

$\frac{3}{5}$

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.

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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%.

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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

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

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

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

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Example Question #133 : Arithmetic

Change the following decimal into a percent.

Possible Answers:

$.54\%$

$5.4\%$

$54\%$

$.0054\%$

Correct answer:

$54\%$

Explanation:

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

$.54*100=54\%$

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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

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

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

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

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Example Question #131 : Arithmetic

What is $20\%\textup{ of } \frac{4}{5}$ ?

Possible Answers:

$\frac{6}{25}$

$\frac{1}{5}$

$\frac{3}{25}$

$\frac{4}{25}$

$\frac{2}{25}$

Correct answer:

$\frac{4}{25}$

Explanation:

$20\%\textup{ of }$ $\frac{4}{5}$ is equal to

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

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Example Question #132 : Arithmetic

$\frac{4}{5}$ is $20\%$ of what number?

Possible Answers:

$4 \frac{4}{5}$

$3\frac{1}{5}$

$\textup{None of the other responses gives the correct answer.}$

Correct answer:

Explanation:

Let be the number in question. $20\%$ of this number is equal to $\frac{4}{5}$ , so

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

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

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

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GMAT Math : Arithmetic

Study concepts, example questions & explanations for GMAT Math

All GMAT Math Resources

Example Questions

Example Question #131 : Arithmetic

Example Question #52 : Calculating Percents

Example Question #131 : Arithmetic

Example Question #132 : Arithmetic

Example Question #53 : Calculating Percents

Example Question #58 : Percents

Example Question #133 : Arithmetic

Example Question #1684 : Gmat Quantitative Reasoning

Example Question #131 : Arithmetic

Example Question #132 : Arithmetic

All GMAT Math Resources

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