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# For any positive integer x, the 2-height of x is defined to

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Manager
Joined: 10 Oct 2008
Posts: 56
For any positive integer x, the 2-height of x is defined to [#permalink]

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08 Nov 2008, 23:20
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

For any positive integer x, the 2-height of x is defined to be the greatest nonnegative integer n such that 2^n is a factor of x. If k and m are positive integers, is the 2-height of k greater than the 2-height of m ?
(1) k > m
(2) k/m is an even integer.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Intern
Joined: 30 Oct 2008
Posts: 30

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09 Nov 2008, 01:40
B.

From statement 1: k=3, m=2 then n(k) = 0 and n(m) = 1. Whereas, if k=4, m=2 then n(k)=2 n(m)=1. Thus not sufficient.
From staement 2: k/m = 2y. So k=m*2y. If greatest factor of m, meeting given condition, is 2^n then the factor of k would be 2^(n+1) Sufficient.

OA?
Re: positive integer --29   [#permalink] 09 Nov 2008, 01:40
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# For any positive integer x, the 2-height of x is defined to

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