How to find the square of an integer
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GRE Quantitative Reasoning › How to find the square of an integer
Neither x nor y is equal to 0.
xy = 4y/x
Quantity A: x
Quantity B: 2
Quantity A is greater.
Quantity B 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.
Quantity A: 9
Quantity B: √(25 + 55)
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Explanation
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.
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.
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.