M11 Q13 : Retired Discussions [Locked]
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# M11 Q13

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Senior Manager
Joined: 01 Mar 2009
Posts: 372
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26 Oct 2009, 21:39
Hey guys, there has to be a change in the OE for this question.

Is 10^n+8 divisible by 18?

n is prime.
n is even.

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient

Statement (1) by itself is sufficient. If n is a positive integer, 10^n +8 is always divisible by 18. This is because 10^n +8 is even and is divisible by 9 (the sum of its digits is divisible by 9). All prime numbers are positive integers, so we can answer the question.

Statement (2) by itself is insufficient. . If n=0 , the answer is "no", if n is 1, the answer is "yes".
Shouldn't the highlighted part be n is 2 ?
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M11 Q13   [#permalink] 26 Oct 2009, 21:39
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# M11 Q13

Moderator: Bunuel

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