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# If X and Y are positive integers , is y odd ? (1)

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Joined: 25 Dec 2010
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Kudos [?]: 55 [0], given: 2

If X and Y are positive integers , is y odd ? (1) [#permalink]

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02 Oct 2011, 15:02
00:00

Difficulty:

95% (hard)

Question Stats:

26% (03:14) correct 74% (02:59) wrong based on 19 sessions

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If X and Y are positive integers , is y odd ?

(1) $$(y+2)!$$/ $$x!$$ is odd integer
(2) $$(y+2)!$$/ $$x!$$ is greater than 2
[Reveal] Spoiler: OA

Last edited by shashankp27 on 04 Oct 2011, 11:53, edited 1 time in total.
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Joined: 20 Dec 2010
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Kudos [?]: 1416 [0], given: 376

Re: is y odd ? [#permalink]

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03 Oct 2011, 03:24
shashankp27 wrote:
If X and Y are positive integers , is y odd ?

(1) $$(y+2)!$$/ $$x!$$ is odd integer
(2) $$(y+2)!$$/ $$x!$$ is greater than 2

1)
x=4; y=2
x=3; y=1
Not Sufficient.

2)
x=1; y=1
x=1; y=2
Not Sufficient.

Combining both;
y = odd integer greater than 0;
x = y+1
Sufficient.

Ans: "C"
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Re: is y odd ?   [#permalink] 03 Oct 2011, 03:24
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