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by Mclaughlin » Sun Aug 03, 2008 11:16 am
Is x an even integer?
(1) x is the square of an integer.
(2) x is the cube of an integer.


OA E

please explain why
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Source: — Data Sufficiency |
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by parallel_chase » Sun Aug 03, 2008 11:35 am
Is x even?

Statement I

x is a square of an integer.

x=9,4,16,49 anything, therefore insufficient.

Statement II

x is a cube of an integer
x=8, 27, 125, 343, 256 anything, therefore insufficient.

Combining both the statements.

x is a cube as well as a square of an integer.

x=64, 729 anything therefore insufficient.

64=4^3 or 8^2

729=9^3 or 27^2

Hence E is the answer.
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