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If x is a positive even integer, is y odd?

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Math Expert
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Joined: 02 Sep 2009
Posts: 47981
If x is a positive even integer, is y odd?  [#permalink]

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New post 10 Jul 2018, 20:54
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

91% (00:58) correct 9% (00:31) wrong based on 23 sessions

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Status: Learning stage
Joined: 01 Oct 2017
Posts: 504
WE: Supply Chain Management (Energy and Utilities)
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Re: If x is a positive even integer, is y odd?  [#permalink]

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New post 10 Jul 2018, 21:45
Bunuel wrote:
If x is a positive even integer, is y odd?

(1) 2y + x is even
(2) 2x + y is even


Given, x is a positive even integer

Question stem:-is y odd? (Y/N)

st1:- x +2y is even
Given x is even, since 2y is even irrespective of y is odd or even. So, x+2y is even.(e+e=e)
Hence insufficient.
st2:- 2x + y is even
Since 2x is even. Hence, y must be even so that 2x+y is even. (e+e=e)
So, y is not odd. Answer to question stem is only No.
hence, sufficient.

Ans.(B)
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PKN

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Re: If x is a positive even integer, is y odd? &nbs [#permalink] 10 Jul 2018, 21:45
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