Example Questions

Example Question #1 : Negative Numbers Quantity A: Quantity B: Quantity A is greater

The relationship cannot be determined from the information given.

The two quantities are equal

Quantity B is greater

Quantity A is greater

Explanation:

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 ?      Explanation:

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?

Quantity B is larger.

The two quantities are equal in size.

The relationship between the quantities cannot be determined.

Quantity A is larger.

Quantity B is larger.

Explanation:

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.

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