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Remainder

by GmatKiss » Mon May 21, 2012 11:40 pm
IMO: C
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by Anurag@Gurome » Tue May 22, 2012 12:46 am
GmatKiss wrote:IMO: C
(1) x is a multiple of 3.
If x = 6, then x^3 = 216, and 216/10 gives a remainder of 6.
If x = 9, then x^3 = 729, and 729/10 gives a remainder of 9.
No definite answer; NOT sufficient.

(2) x is a multiple of 5.
If x = 10, then x^3 = 1000, and 1000/10 gives a remainder of 0.
If x = 15, then x^3 = 3375, and 3375/10 gives a remainder of 5.
No definite answer; NOT sufficient.

Combining (1) and (2), x is a multiple of 3 and 5.
If x = 15, then x^3 = 3375, and 3375/10 gives a remainder of 5.
If x = 30, then x^3 = 27000, and 27,000/10 gives a remainder of 0.
No definite answer; NOT sufficient.

The correct answer is E.
Anurag Mairal, Ph.D., MBA
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