Sample PSAT Questions---Math2--Quantitative Compar

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question 13 of 13

Column A Column B
x 2 - y 2 = x + y
x + y > 0

x
y


(from the October 16, 1999 test)

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Correct Answer: A
Explanation: Since x 2 - y 2 = x + y, then (x + y)(x - y) = (x + y). You can divide both sides of the equation by x + y since x + y > 0. This yields x - y = 1, which means x = y + 1.

Since the value of x is 1 more than the value of y, the correct answer is (A).

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