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题库 / GMATAdvanced-DS-69
If m and n are positive integers, is n even?
(1)m(m+2)+1=mn
(2)m(m+n)is odd.
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.
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m+2+(1/m) = n
As n is a positive integer, 1/m must be an integer.
It's only possible if m is 1.
Hence m+2+(1/m) = n and m is 1
n is 4.
Sufficient.
m(m+n) is odd
Hence m and m+n are both odd.
Hence n must be even
Sufficient.
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