### All GRE Math Resources

## Example Questions

### Example Question #1 : Negative Numbers

Quantity A:

Quantity B:

**Possible Answers:**

Quantity A is greater

The relationship cannot be determined from the information given.

The two quantities are equal

Quantity B is greater

**Correct answer:**

Quantity A is greater

Since both quantities have an , you can ignore this variable, which will give you and for quantities A and B, respectively. Since and are both negative numbers, must be bigger than , which means that no matter what numbers they are, Quantity A must be bigger.

### Example Question #2 : Negative Numbers

If and are integers such that and , what is the smallest possible value of ?

**Possible Answers:**

**Correct answer:**

To make as small as possible, let be as small as possible , and subtract the largest value of possible :

### Example Question #3 : Negative Numbers

**Quantity A: **

**Quantity B:**

Which of the following is true?

**Possible Answers:**

Quantity B is larger.

The two quantities are equal in size.

The relationship between the quantities cannot be determined.

Quantity A is larger.

**Correct answer:**

Quantity B is larger.

A problem like this one is very easy. All you need to do is manage your arithmetic well. Remember that when you subtract a negative number, this is the same as adding the positive of that number. Therefore, you can rewrite each of your quantities:

**Quantity A: **

Using a calculator, this comes out to be:

**Quantity B:**

Using a calculator, this comes out to be:

Therefore, quantity B is larger.