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# If x and y are positive integers, is the number (x^2 + 3x + y^2) even?

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Math Expert
Joined: 02 Sep 2009
Posts: 54370
If x and y are positive integers, is the number (x^2 + 3x + y^2) even?  [#permalink]

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30 Jul 2017, 22:46
00:00

Difficulty:

55% (hard)

Question Stats:

52% (02:14) correct 48% (01:31) wrong based on 37 sessions

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If x and y are positive integers, is the number (x^2 + 3x + y^2) even?

(1) (4x + 3y) is even.
(2) (x − y) is even.

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Intern
Joined: 05 Sep 2016
Posts: 2
Re: If x and y are positive integers, is the number (x^2 + 3x + y^2) even?  [#permalink]

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31 Jul 2017, 00:32
Is it A?

4x + 3y is even, therefore y has to be even since e+e = e. - sufficient as we know y is even, therefore even if X is odd the total will be even.

(X-Y) is even - insufficient. Because we don't know if both are odd or both are even.

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Director
Joined: 21 Mar 2016
Posts: 520
Re: If x and y are positive integers, is the number (x^2 + 3x + y^2) even?  [#permalink]

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31 Jul 2017, 09:51
stat 1 : we can dedeuce that is even,,,

analyzing the given expression,,, no matter what the value of x is ,,the expression will be even

ans A
Re: If x and y are positive integers, is the number (x^2 + 3x + y^2) even?   [#permalink] 31 Jul 2017, 09:51
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