GRE- Quantitative Reasoning
A farmer wants to fence a rectangular horse corral with an area of 12,000 square feet. Fence
posts along each side will be 10 feet apart at their center.

A. The quantity in Column A is greater;
B. The quantity in Column B is greater;
C. The quantities are equal;
D. The relationship cannot be determined from the information given.

Answer(s): B
Explanation: There's no need to calculate either quantity. Given an area of 12,000 square feet,
the shortest possible rectangular perimeter is achieved with a square, in which all sides are the
same length. Column B describes a corral with a width of 300 feet and a length of 400 feet. This
corral would require more fence posts than a square corral.
QUESTION: 9

A. The quantity in Column A is greater;
B. The quantity in Column B is greater;
C. The quantities are equal;
D. The relationship cannot be determined from the information given.

Answer(s): B
Explanation: You can make the comparison quickly by recognizing that Quantity A is the
"difference of two squares" (
) in the factored form (x + y) (x - y), where y = 2. Or, you
can multiply the two binomials in Column A, and then simplify:
Quantity A < Quantity B.

QUESTION: 10

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