GRE Math : Other Squaring / Square Roots
Study concepts, example questions & explanations for GRE Math
All GRE Math Resources
Example Questions
Example Question #1 : Arithmetic
Neither x nor y is equal to 0.
xy = 4y/x
Quantity A: x
Quantity B: 2
The relationship cannot be determined from the information given.
The two quantities are equal.
Quantity B is greater.
Quantity A is greater.
The relationship cannot be determined from the information given.
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 #2 : Arithmetic
Quantity A:
Quantity B: 399
The two quantities are equal.
The relationship cannot be determined from the information given.
Quantity A is greater.
Quantitiy B is greater.
The relationship cannot be determined from the information given.
Since 
Example Question #3 : Arithmetic
Quantity A: 9
Quantity B: √(25 + 55)
The relationship cannot be determined from the information given.
Quantity A is greater.
The two quantities are equal.
Quantity B is greater.
Quantity A is greater.
In order to determine the relationship between Quantity A and Quantity B, let's convert both to square roots. In order to do this, we must square Quantity A so it becomes √81 which is equivalent to 9. Now to Quantity B, we must simplify by adding the two values together (25 + 55) to get √80.
√81 is greater than the √80 because 81 is greater than 80. Thus Quantity A is greater.
All GRE Math Resources
