# GRE Math : How to find the square of an integer

## Example Questions

### Example Question #1 : Arithmetic

Neither x nor y is equal to 0.

xy = 4y/x

Quantity A: x

Quantity B: 2

Quantity B is greater.

The relationship cannot be determined from the information given.

Quantity A is greater.

The two quantities are equal.

The relationship cannot be determined from the information given.

Explanation:

Given xy = 4y/x and x and y not 0.

Therefore you are able to divide both sides by 'y' such that:

x = 4/x

Multiply both sides by x:

x2 = 4 or x = +2 or –2.

Because of the fact that x could equal –2, the relationship cannot be determined from the information given.

### Example Question #1 : Arithmetic

Quantity A:

Quantity B: 399

The relationship cannot be determined from the information given.

Quantity A is greater.

Quantitiy B is greater.

The two quantities are equal.

The relationship cannot be determined from the information given.

Explanation:

Since  is between 10 and 20, it can be any real number between 100 and 400. Therefore, the relationship cannot be determined since  could fall anywhere between these two limits, including between 399 and 400.

### Example Question #1 : Arithmetic

Quantity A: 9

Quantity B: √(25 + 55)

Quantity A is greater.

The two quantities are equal.

Quantity B is greater.

The relationship cannot be determined from the information given.