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If k, m, and p are integers, is k m p odd? (1) k and m are

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If k, m, and p are integers, is k m p odd? (1) k and m are [#permalink]

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New post 07 Oct 2008, 07:06
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If k, m, and p are integers, is k – m – p odd?
(1) k and m are even and p is odd.
(2) k, m, and p are consecutive integers.

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.

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Re: math---odd number [#permalink]

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New post 07 Oct 2008, 10:10
[quote="albany09"]If k, m, and p are integers, is k – m – p odd?
(1) k and m are even and p is odd.
(2) k, m, and p are consecutive integers.

even - even - odd = odd

from 2

any 3 consecutive intigers ( even , odd , even) or ( odd, even , odd)

answer is odd or 0 , ie: 11 - 10 - 1 = 0

answer is A

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Re: math---odd number [#permalink]

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New post 07 Oct 2008, 14:23
Agree with yezz.
(1) E-E-O = O (Suff)
(2) We need to know wheather one of the integers is odd or even. If k is odd, result is even, if k is even, result is odd- Insuff

Hence (A)
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Re: math---odd number [#permalink]

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New post 08 Oct 2008, 06:31
My two cents:

1 suff. (agree with you) answer: yes, its odd

2
even-odd-even=even
example: 10-9-8=-6

odd-even-odd=even
example: 11-10-9=-8

Therefore, suff. But the answer it's not odd

:x

where is my mistake?

OA?

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Re: math---odd number [#permalink]

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New post 08 Oct 2008, 06:44
answer is A

statement 1: by picking numbers you can see that even - even-odd=odd. Hence sufficient
statement 2: consecutive integers can be odd- even- odd (in which case the answer will be even) or even- odd- even (in which case the answer will be odd). hence insufficient.

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Re: math---odd number [#permalink]

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New post 08 Oct 2008, 06:52
JohnLewis1980 wrote:
My two cents:

1 suff. (agree with you) answer: yes, its odd

2
even-odd-even=even
example: 10-9-8=-6

odd-even-odd=even
example: 11-10-9=-8

Therefore, suff. But the answer it's not odd

:x

where is my mistake?

OA?

Cheers


aagh!

I see my error (thanks ALD):

2 not suff.

2
even-odd-even=odd
example: 10-9-8=-7

odd-even-odd=even
example: 11-10-9=-8

Therefore A
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Re: math---odd number   [#permalink] 08 Oct 2008, 06:52
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If k, m, and p are integers, is k m p odd? (1) k and m are

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