# GRE Math : How to find the part from the whole

## Example Questions

### Example Question #1 : How To Find The Part From The Whole

Quantitative Comparison

Quantity A: 10% of $45 Quantity B: 45% of$10

Quantity A is greater.

Quantity B is greater.

The two quantities are equal.

The relationship cannot be determined from the information given.

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 #11 : Percentage

What percent of 5 is ?

Explanation:

### Example Question #11 : Percentage

Quantity A:

, where  is  of

Quantity B:

, where  is  of

Which of the following is true?

A comparison cannot be detemined from the given information.

The two quantities are equal.

Quantity A is larger.

Quantity B is larger.

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 #11 : Percentage

Quantity A:

, where  is  of

Quantity B:

, where  is  of

Which of the following is true?

Quantity A is larger.

A comparison cannot be detemined from the given information.

The two quantities are equal.

Quantity B is larger.

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?

The two quantities are equal.

A comparison cannot be detemined from the given information.

Quantity A is greater.

Quantity B is greater.

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.

### Example Question #22 : Percentage

A bag contains .   are quarters,  are dimes and the rest are nickels. How much money is in the bag in nickels?