### All GRE Math Resources

## Example Questions

### Example Question #1 : Basic Squaring / Square Roots

Which quantity is greater? When

**Quantity A**

**Quantity B**

1

**Possible Answers:**

The two quantities are equal.

Quantity B is greater.

The relationship cannot be determined from the information given.

Quantity A is greater.

**Correct answer:**

Quantity B is greater.

X must equal a number between 0 and 1.

If you square any decimal number in this range you will get an answer less than 1. Try = 0.998.

Therefore Quantity B is always larger.

### Example Question #1 : Basic Squaring / Square Roots

Which is greater, when

Quantity A

Quantity B

**Possible Answers:**

The two quantities are equal

Quantity A is greater

Quantity B is greater

The relationship cannot be determined from the information given

**Correct answer:**

The relationship cannot be determined from the information given

When , must be a decimal. Therefore it will decrease when it is squared. To find this answer we can substitute two values for .

and

When

But when

Therefore we cannot tell which is greater based on the information given.

### Example Question #3 : Basic Squaring / Square Roots

Which is greater, when

Quantity A

Quantity B

**Possible Answers:**

Quantity A is greater

The two quantities are equal

Quantity B is greater

The relationship cannot be determined from the information given

**Correct answer:**

The relationship cannot be determined from the information given

When , must be a decimal. Therefore it will decrease when it is squared. To find this answer we can substitute two values for .

and

When

But when

Therefore we cannot tell which is greater based on the information given.

### Example Question #1 : How To Square A Decimal

Which is greater, when

Quantity A

Quantity B

**Possible Answers:**

Quantity B is greater

The relationship cannot be determined from the information given

Quantity A is greater

The two quantities are equal

**Correct answer:**

Quantity A is greater

When , must be a negative decimal. Therefore it will decrease when it is squared and become positive. The first quantity is the distance to 0 from , in other words the positive value of . The second quantity will always be positive, but because it is a decimal it will always be less than , if was a positive quantity. Since , then wiill always be greater than .

Quantity A is greater.

### Example Question #1 : How To Square A Decimal

Which is greater, when

Quantity A

Quantity B

**Possible Answers:**

The two quantities are equal

The relationship cannot be determined from the information given

Quantity A is greater

Quantity B is greater

**Correct answer:**

Quantity B is greater

When , must be a negative decimal. Therefore it will decrease when it is squared and become positive. Because must be a decimal, will also be a decimal. Therefore will never be greater than 1.

Quantity B is greater.