GRE Math : Arithmetic

Study concepts, example questions & explanations for GRE Math

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Example Questions

Example Question #813 : Gre Quantitative Reasoning

Choose the answer below which best expresses the following decimal as a percent:

Possible Answers:

Correct answer:

Explanation:

To convert a percent into a decimal, simply know that the tenths place of the decimal will correspond to the tens digit of the percent, and the thousandths place of the decimal will correspond to the ones digit of the percent. Any ensuing digits will be behind a decimal in the final percent.  

Also converting a decimal to a percent can be accomplished by multiplying the percent by 100.

Therefore, the best answer here is:

Example Question #2 : How To Find Percentage Equivalent To A Decimal

Choose the answer which best expresses the following decimal as a percentage, rounded to the nearest tenth of a percent if necessary:

Possible Answers:

Correct answer:

Explanation:

To express a decimal as a percent, multiply the decimal by one hundred:

Then add your percent sign after:

Example Question #3 : How To Find Percentage Equivalent To A Decimal

Choose the answer which best expresses the following decimal as a percentage, rounded to the nearest tenth of a percent if necessary:

Possible Answers:

Correct answer:

Explanation:

To express a decimal as a percent, multiply the decimal by one hundred:

 

Then add your percent sign:

 

 

Example Question #4 : How To Find Percentage Equivalent To A Decimal

Choose the answer which best expresses the following decimal as a percentage, rounded to the nearest tenth of a percent if necessary:

Possible Answers:

Correct answer:

Explanation:

To express a decimal as a percent, multiply the decimal by one hundred:

Then, add your percent sign after:

Example Question #1 : Decimals And Percentage

Choose the answer which best expresses the following decimal as a percentage, rounded to the nearest tenth of a percent if necessary:

Possible Answers:

Correct answer:

Explanation:

To find the equivalent percentage we need to multiply the decimal by 100.

 

Then, add your percent sign:

Example Question #231 : Arithmetic

Quantitative Comparison

Quantity A: 10% of $45

Quantity B: 45% of $10

Possible Answers:

The relationship cannot be determined from the information given.

The two quantities are equal.

Quantity B is greater.

Quantity A is greater.

Correct answer:

The two quantities are equal.

Explanation:

Quantity A: .1 * 45 = $4.50

Quantity B: .45 * 10 = $4.50

Therefore the two quantities are equal.  This is always true: a% of $b = b% of $a.

Example Question #1 : Whole And Part

What percent of 5 is ?

Possible Answers:

Correct answer:

Explanation:

Example Question #2 : Whole And Part

Quantity A:

 , where  is  of 

Quantity B: 

, where  is  of 

Which of the following is true?

 

Possible Answers:

A comparison cannot be detemined from the given information.

Quantity B is larger.

Quantity A is larger.

The two quantities are equal.

Correct answer:

Quantity B is larger.

Explanation:

This type of problem is very easy.  You merely need to translate the text into the form of an equation.  For this, remember that "of" is translated as multiplication and "is" as equality.  This gives us the following.

Quantity A:

 is  of 

Becomes...

Quantity B:

 is  of 

Becomes...

Therefore, quantity B is larger.

Example Question #14 : Percentage

Quantity A: 

, where  is  of 

Quantity B: 

, where  is  of 

Which of the following is true?

Possible Answers:

Quantity A is larger.

Quantity B is larger.

A comparison cannot be detemined from the given information.

The two quantities are equal.

Correct answer:

Quantity B is larger.

Explanation:

This type of problem is very easy.  You merely need to translate the text into the form of an equation.  For this, remember that "of" is translated as multiplication and "is" as equality.  This gives us the following.

Quantity A:

 is  of 

Becomes...

Quantity B:

  is  of 

Becomes...

Therefore, quantity B is larger.

Example Question #21 : Percentage

Quantity A: 

, where  is  of 

Quantity B: 

, where  is  of 

Which of the following is true?

Possible Answers:

Quantity A is greater.

A comparison cannot be detemined from the given information.

Quantity B is greater.

The two quantities are equal.

Correct answer:

The two quantities are equal.

Explanation:

This type of problem is very easy.  You merely need to translate the text into the form of an equation.  For this, remember that "of" is translated as multiplication and "is" as equality.  This gives us the following.

Quantity A:

 is  of 

Becomes...

Quantity B:

  is  of 

Becomes...

Therefore, the two quantities are equal.

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