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If x is an even integer and y is an odd integer, then which

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If x is an even integer and y is an odd integer, then which  [#permalink]

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New post 17 Jul 2017, 10:47
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If \(x\) is an even integer and \(y\) is an odd integer, then which of the following CANNOT be an even integer?

(A) \(x + 2y\)
(B) \(2(x + y)\)
(C) \(2x + y\)
(D) \(\frac{x}{y}\)
(E) \(xy\)

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If x is an even integer and y is an odd integer, then which  [#permalink]

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New post 17 Jul 2017, 10:55
Gnpth wrote:
If \(x\) is an even integer and \(y\) is an odd integer, then which of the following CANNOT be an even integer?

(A) \(x + 2y\)
(B) \(2(x + y)\)
(C) \(2x + y\)
(D) \(\frac{x}{y}\)
(E) \(xy\)


Solution -
(A) \(x + 2y\) ----- \(Even + Even = Even\)
(B) \(2(x + y)\) ------- \(Even*any number = Even\)
(C) \(2x + y\) ------ \(Even + Odd = Odd\). Correct Answer
(D) \(\frac{x}{y}\) ----- May or may not be an even integer. For eg. \(6/3 = 2 = Even\) but \(4/3\) is not an integer
(E) \(xy\) ------\(Even*Odd = Even\)
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Re: If x is an even integer and y is an odd integer, then which  [#permalink]

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New post 17 Dec 2018, 07:11
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Gnpth wrote:
If \(x\) is an even integer and \(y\) is an odd integer, then which of the following CANNOT be an even integer?

(A) \(x + 2y\)
(B) \(2(x + y)\)
(C) \(2x + y\)
(D) \(\frac{x}{y}\)
(E) \(xy\)


Dear Moderator,
Found this PS question, in the DS section, hope you will do the needful. Thank you.
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Re: If x is an even integer and y is an odd integer, then which  [#permalink]

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New post 17 Dec 2018, 07:14
stne wrote:
Gnpth wrote:
If \(x\) is an even integer and \(y\) is an odd integer, then which of the following CANNOT be an even integer?

(A) \(x + 2y\)
(B) \(2(x + y)\)
(C) \(2x + y\)
(D) \(\frac{x}{y}\)
(E) \(xy\)


Dear Moderator,
Found this PS question, in the DS section, hope you will do the needful. Thank you.



Thanks ..
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: If x is an even integer and y is an odd integer, then which  [#permalink]

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New post 17 Dec 2018, 07:16
chetan2u wrote:
stne wrote:
Gnpth wrote:
If \(x\) is an even integer and \(y\) is an odd integer, then which of the following CANNOT be an even integer?

(A) \(x + 2y\)
(B) \(2(x + y)\)
(C) \(2x + y\)
(D) \(\frac{x}{y}\)
(E) \(xy\)


Dear Moderator,
Found this PS question, in the DS section, hope you will do the needful. Thank you.



Thanks ..


chetan2u, when moving a topic, we are loosing the tags, so after moving you should tag the question again.
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Re: If x is an even integer and y is an odd integer, then which  [#permalink]

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New post 17 Dec 2018, 09:40
(A) x+2y - even + even = even
(B) 2(x+y) - 2* odd = even
(C) 2x+y - even + odd = odd
(D) x/y - 6/3 = 2 even
(E) xy - even* odd = even

answer = C
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Re: If x is an even integer and y is an odd integer, then which  [#permalink]

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New post 17 Dec 2018, 10:23
Gnpth wrote:
If \(x\) is an even integer and \(y\) is an odd integer, then which of the following CANNOT be an even integer?

(A) \(x + 2y\)
(B) \(2(x + y)\)
(C) \(2x + y\)
(D) \(\frac{x}{y}\)
(E) \(xy\)



2x = even . all time

y = odd

even + odd = odd.

C is the answer.
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Re: If x is an even integer and y is an odd integer, then which &nbs [#permalink] 17 Dec 2018, 10:23
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If x is an even integer and y is an odd integer, then which

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