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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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17 Jul 2017, 11:47
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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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17 Jul 2017, 11:55
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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17 Dec 2018, 08:11
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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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- Stne
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Posts: 7984
Re: If x is an even integer and y is an odd integer, then which  [#permalink]

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17 Dec 2018, 08:14
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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Re: If x is an even integer and y is an odd integer, then which  [#permalink]

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17 Dec 2018, 08:16
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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Joined: 30 Oct 2018
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Re: If x is an even integer and y is an odd integer, then which  [#permalink]

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17 Dec 2018, 10:40
(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

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

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17 Dec 2018, 11:23
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.

Re: If x is an even integer and y is an odd integer, then which   [#permalink] 17 Dec 2018, 11:23
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