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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]

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New post 09 Oct 2013, 19:56
00:00
A
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C
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E

Difficulty:

  15% (low)

Question Stats:

78% (01:17) correct 22% (00:33) wrong based on 68 sessions

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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]

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New post 09 Oct 2013, 22:15
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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

Hence A is the answer
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Re: Is the product of integers m and n odd? [#permalink]

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New post 10 Oct 2013, 00:13
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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]

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New post 10 Oct 2013, 01:11
Director
Director
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Status: 1,750 Q's attempted and counting
Affiliations: University of Florida
Joined: 09 Jul 2013
Posts: 513
Location: United States (FL)
Schools: UFL (A)
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WE: Accounting (Accounting)
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Re: Is the product of integers m and n odd? [#permalink]

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New post 14 Oct 2013, 09:17
Official Explanation

Answer: A

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.
Re: Is the product of integers m and n odd?   [#permalink] 14 Oct 2013, 09:17
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