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Is the product of integers m and n odd?

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Is the product of integers m and n odd? [#permalink]  09 Oct 2013, 18:56
00:00

Difficulty:

25% (medium)

Question Stats:

77% (01:16) correct 23% (00:33) wrong based on 52 sessions
Is the product of integers m and n odd?

(1) m is even
(2) n is odd

GH-08.21.13
[Reveal] Spoiler: OA

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Re: Is the product of integers m and n odd? [#permalink]  09 Oct 2013, 21:15
1
KUDOS
avohden wrote:
Is the product of integers m and n odd?

(1) m is even
(2) n is odd

GH-08.21.13

m*n can be even when either of the 2 is even. So statement 1 is sufficient.

But, m*n can be odd only when both of them are ODD. Statement 2 gives no information about m. Not sufficient

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Re: Is the product of integers m and n odd? [#permalink]  09 Oct 2013, 23:13
1
KUDOS
avohden wrote:
Is the product of integers m and n odd?

(1) m is even
(2) n is odd

GH-08.21.13

FOR A PRODUCT TO BE ODD.
all the integers MUST be odd.

(1) m is even
it means product will not ODD ==>SUFFICIENT.

(2) n is odd
we dont know about m .
if m is even then NO.
if m is odd then YES.
HENCE INSUFFICIENT.

HENCE A.
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Re: Is the product of integers m and n odd? [#permalink]  10 Oct 2013, 00:11
Expert's post
Is the product of integers m and n odd?

Since both m and n are integers, then in order their product be odd, both must be odd.

(1) m is even --> mn=even. Sufficient.

(2) n is odd --> if m is odd, then mn=odd but if m is even, then mn=even. Not sufficient.

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Re: Is the product of integers m and n odd? [#permalink]  14 Oct 2013, 08:17
Official Explanation

Statement (1) is sufficient. When multiplying an even number (m) by any integer (n), the result is always even.

Statement (2) is insufficient. If m is odd, the product mn is odd. If m is even, the product mn is even. Choice (A) is correct.
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Re: Is the product of integers m and n odd?   [#permalink] 14 Oct 2013, 08:17
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