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Is Y odd?

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Intern
Intern
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Joined: 16 Dec 2014
Posts: 3

Kudos [?]: [0], given: 11

Is Y odd? [#permalink]

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New post 06 Aug 2017, 07:14
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! :?:

Kudos [?]: [0], given: 11

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P
Joined: 02 Aug 2009
Posts: 5204

Kudos [?]: 5820 [0], given: 117

Re: Is Y odd? [#permalink]

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New post 07 Aug 2017, 10:06
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
_________________

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

Kudos [?]: 5820 [0], given: 117

Re: Is Y odd?   [#permalink] 07 Aug 2017, 10:06
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Is Y odd?

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