M08 #26 : GMAT Club Tests

M08 #26

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M08 #26 [#permalink]

06 May 2012, 02:31

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Question Stats:

100% (02:12) correct

0% (00:00) wrong

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If XY is divisible by 4, which of the following must be true?

a) If X is even then Y is odd.
b) If X =\sqrt{2}then Y is not a positive integer.
c) If X is 0 then X+Y is not 0.
d) X^Y is even.
e) X/Y is not an integer.

According to me all the options are incorrect but if I have to chose I will chose D

I do not agree to the OA as it is given that Y is not a positive integer, so it can be a negative integer and then it will not hold true.

Can anyone explain this.

[Reveal] Spoiler: OA

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Re: M08 #26 [#permalink]

06 May 2012, 03:00

subhajeet wrote:

D cannot be correct consider: x=1 and y=4.

As for B. The confusing part is the word "positive":
If x=\sqrt{2}, y can be positive as well as negative BUT it can not be a positive INTEGER.

y must be of a type of y=\sqrt{2}*2n where n is an integer, not necessarily positive. So y can be \sqrt{2}*8, when n=4 OR -\sqrt{2}*2, when n=-1 OR 0, when n=0.

As when y=\sqrt{2}*2n and x=\sqrt{2}, xy=4n and the condition that it's divisible by 4 holds true for any value of n.

Answer: B.

Th is question is discussed here: if-xy-is-divisible-by-4-which-of-the-following-must-be-true-73389.html

Hope it helps.
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Manager

Status: MBA Aspirant

Joined: 12 Jun 2010

Posts: 190

Location: India

Concentration: Finance, International Business

WE: Information Technology (Investment Banking)

Followers: 3

Kudos [?]: 14 [0], given: 1

Re: M08 #26 [#permalink]

07 May 2012, 03:24

Hi Bunnel - Thanks for the detailed explanation.

Re: M08 #26 [#permalink] 07 May 2012, 03:24

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M08 #26

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