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# Is Y odd?

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Intern
Joined: 16 Dec 2014
Posts: 3

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06 Aug 2017, 06:14
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If x and y are positive integers, is y odd?

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

Could not understand the solutions and how the assumptions are made.Could you kindly help!
Math Expert
Joined: 02 Aug 2009
Posts: 5647

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07 Aug 2017, 09:06
pritishbhuyan wrote:
If x and y are positive integers, is y odd?

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

Could not understand the solutions and how the assumptions are made.Could you kindly help!

Hi..
Ans should be A.. and this is why?

I tells us $$\frac{(y+2)!}{x!}$$ is odd INTEGER.
It means $$\frac{1*2*3....X*x+1*x+2...Y*y+1*y+2}{1*2*3...x}=x+1*....Y*y+1*y+2$$
So y+2 >x and
also y+2 is ONE more than x otherwise x+1*x+2.... would be even ..
So y+2 will be ODD and also y+2-2 or y
Sufficient
II can have y both as odd and as even

A
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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

BANGALORE/-

Math Expert
Joined: 02 Sep 2009
Posts: 43787

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03 Jan 2018, 07:38
pritishbhuyan wrote:
If x and y are positive integers, is y odd?

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

Could not understand the solutions and how the assumptions are made.Could you kindly help! :

Discussed here: https://gmatclub.com/forum/if-x-and-y-a ... 28602.html
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Re: Is Y odd?   [#permalink] 03 Jan 2018, 07:38
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