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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
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When a certain integer x is divided by 5 the remainder is 2 [#permalink]  10 May 2012, 08:08
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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
[Reveal] Spoiler: OA

Last edited by Bunuel on 20 May 2014, 07:55, edited 1 time in total.
Math Expert
Joined: 02 Sep 2009
Posts: 31228
Followers: 5342

Kudos [?]: 62055 [2] , given: 9427

Re: When a certain integer [i]x[/i] is divided by 5 the [#permalink]  10 May 2012, 08:56
2
KUDOS
Expert's post
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.
_________________
Intern
Joined: 05 May 2012
Posts: 16
Followers: 1

Kudos [?]: 14 [0], given: 17

Re: When a certain integer x is divided by 5 the remainder is 2 [#permalink]  11 May 2012, 04:26
Thanks, that makes sense!
Manager
Status: K... M. G...
Joined: 22 Oct 2012
Posts: 51
GMAT Date: 08-27-2013
GPA: 3.8
Followers: 0

Kudos [?]: 8 [0], given: 118

Re: When a certain integer [i]x[/i] is divided by 5 the [#permalink]  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: 31228
Followers: 5342

Kudos [?]: 62055 [2] , given: 9427

Re: When a certain integer [i]x[/i] is divided by 5 the [#permalink]  02 Nov 2012, 14:09
2
KUDOS
Expert's post
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: 8153
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Kudos [?]: 110 [0], given: 0

Re: When a certain integer x is divided by 5 the remainder is 2 [#permalink]  20 May 2014, 07:50
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Joined: 09 Sep 2013
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Re: When a certain integer x is divided by 5 the remainder is 2 [#permalink]  05 Dec 2015, 02:35
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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Re: When a certain integer x is divided by 5 the remainder is 2   [#permalink] 05 Dec 2015, 02:35
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