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# For integers x and y, when x is divided by y, the remainder

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Manager
Joined: 09 Feb 2013
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Kudos [?]: 742 [1] , given: 17

For integers x and y, when x is divided by y, the remainder [#permalink]

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28 Feb 2013, 05:27
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Question Stats:

55% (02:37) correct 45% (01:55) wrong based on 245 sessions

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For integers x and y, when x is divided by y, the remainder is odd. Which of the following must be true?

A. x is odd
B. xy is odd
C. x and y share no common factors other than 1
D. The sum x + y is odd
E. At least one of x and y is odd
[Reveal] Spoiler: OA

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Last edited by Bunuel on 28 Feb 2013, 05:52, edited 1 time in total.
Edited the question and the tags.
Math Expert
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Kudos [?]: 82621 [3] , given: 10108

Re: For integers x and y, when x is divided by y, the remainder [#permalink]

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28 Feb 2013, 06:02
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For integers x and y, when x is divided by y, the remainder is odd. Which of the following must be true?

A. x is odd. Not necessarily true. Consider x=4 and y=3.

B. xy is odd. Not necessarily true. Consider x=4 and y=3.

C. x and y share no common factors other than 1. Not necessarily true. Consider x=3 and y=6.

D. The sum x + y is odd. Not necessarily true. Consider x=1 and y=3.

E. At least one of x and y is odd. If both x and y were even, then the remainder when x is divided by y would be even, not odd. Hence at least one of x and y is odd.

Hope it's clear.
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Joined: 22 Nov 2010
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Location: India
GMAT 1: 670 Q49 V33
WE: Consulting (Telecommunications)
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Kudos [?]: 119 [0], given: 75

Re: For integers x and y, when x is divided by y, the remainder [#permalink]

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28 Feb 2013, 07:02
For integers x and y, when x is divided by y, the remainder is odd. Which of the following must be true?

A. x is odd. May be. not must.
B. xy is odd. x= 6, y =5 R= 1. xy is not odd
C. x and y share no common factors other than 1. x=12 , y=9. r= 3. common factor = 3, 1
D. The sum x + y is odd. x= 3, y=5. r= 3. x+y = 8 even
E. At least one of x and y is odd. correct
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Kudos [?]: 143 [0], given: 0

Re: For integers x and y, when x is divided by y, the remainder [#permalink]

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16 Feb 2015, 05:44
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Kudos [?]: 143 [0], given: 0

Re: For integers x and y, when x is divided by y, the remainder [#permalink]

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13 Mar 2016, 06:46
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Kudos [?]: 148 [0], given: 271

Re: For integers x and y, when x is divided by y, the remainder [#permalink]

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17 Mar 2016, 05:46
Here we the easiest way out is use the examples
Now by using 3/11 ; 3/9 and 3/12 => all options can be eliminated except the last one => E
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Re: For integers x and y, when x is divided by y, the remainder   [#permalink] 17 Mar 2016, 05:46
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