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# When a certain integer x is divided by 5 the remainder is 2

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Intern
Joined: 05 May 2012
Posts: 13
When a certain integer x is divided by 5 the remainder is 2  [#permalink]

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Updated on: 20 May 2014, 07:55
5
00:00

Difficulty:

25% (medium)

Question Stats:

73% (01:26) correct 27% (01:36) wrong based on 193 sessions

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When a certain integer x is divided by 5 the remainder is 2, then each of the following could also be an integer EXCEPT.

A. x/17
B. x/11
C. x/10
D. x/6
E. x/3

Originally posted by malkov on 10 May 2012, 08:08.
Last edited by Bunuel on 20 May 2014, 07:55, edited 1 time in total.
Math Expert
Joined: 02 Sep 2009
Posts: 52231
Re: When a certain integer [i]x[/i] is divided by 5 the  [#permalink]

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10 May 2012, 08:56
2
2
malkov wrote:
When a certain integer x is divided by 5 the remainder is 2, then each of the following could also be an integer EXCEPT.

A. x/17
B. x/11
C. x/10
D. x/6
E. x/3

What do you think?

When x is divided by 5 the remainder is 2 simply means that x is not divisible by 5, so it cannot be divisible by 10 either. Therefore x/10 is not an integer.

Hope it's clear.
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Intern
Joined: 05 May 2012
Posts: 13
Re: When a certain integer x is divided by 5 the remainder is 2  [#permalink]

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11 May 2012, 04:26
Thanks, that makes sense!
Intern
Status: K... M. G...
Joined: 22 Oct 2012
Posts: 34
GMAT Date: 08-27-2013
GPA: 3.8
Re: When a certain integer [i]x[/i] is divided by 5 the  [#permalink]

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02 Nov 2012, 13:44
Bunuel wrote:
malkov wrote:
When a certain integer x is divided by 5 the remainder is 2, then each of the following could also be an integer EXCEPT.

A. x/17
B. x/11
C. x/10
D. x/6
E. x/3

What do you think?

When x is divided by 5 the remainder is 2 simply means that x is not divisible by 5, so it cannot be divisible by 10 either. Therefore x/10 is not an integer.

Hope it's clear.

Math Expert
Joined: 02 Sep 2009
Posts: 52231
Re: When a certain integer [i]x[/i] is divided by 5 the  [#permalink]

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02 Nov 2012, 14:09
2
breakit wrote:
Bunuel wrote:
malkov wrote:
When a certain integer x is divided by 5 the remainder is 2, then each of the following could also be an integer EXCEPT.

A. x/17
B. x/11
C. x/10
D. x/6
E. x/3

What do you think?

When x is divided by 5 the remainder is 2 simply means that x is not divisible by 5, so it cannot be divisible by 10 either. Therefore x/10 is not an integer.

Hope it's clear.

When a certain integer x is divided by 5 the remainder is 2 can be expressed as $$x=5q+2$$. Thus x can be 2, 7, 12, 17, 22, ...

If x=17, then x/17=integer.
If x=22, then x/11=integer.
If x=12, then x/6=integer and x/3=integer.

Hope it's clear.
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Posts: 9419
Re: When a certain integer x is divided by 5 the remainder is 2  [#permalink]

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19 Feb 2017, 05:25
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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Re: When a certain integer x is divided by 5 the remainder is 2 &nbs [#permalink] 19 Feb 2017, 05:25
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