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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: 15

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

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10 May 2012, 09:08
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76% (00:57) correct 24% (01:21) wrong based on 175 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
[Reveal] Spoiler: OA

Last edited by Bunuel on 20 May 2014, 08:55, edited 1 time in total.

Kudos [?]: 28 [0], given: 17

Math Expert
Joined: 02 Sep 2009
Posts: 41913

Kudos [?]: 129503 [2], given: 12201

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

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10 May 2012, 09:56
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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.
_________________

Kudos [?]: 129503 [2], given: 12201

Intern
Joined: 05 May 2012
Posts: 15

Kudos [?]: 28 [0], given: 17

Re: When a certain integer x is divided by 5 the remainder is 2 [#permalink]

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11 May 2012, 05:26
Thanks, that makes sense!

Kudos [?]: 28 [0], given: 17

Intern
Status: K... M. G...
Joined: 22 Oct 2012
Posts: 48

Kudos [?]: 9 [0], given: 118

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, 14:44
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.

Kudos [?]: 9 [0], given: 118

Math Expert
Joined: 02 Sep 2009
Posts: 41913

Kudos [?]: 129503 [2], given: 12201

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

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02 Nov 2012, 15:09
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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Kudos [?]: 129503 [2], given: 12201

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Posts: 16535

Kudos [?]: 274 [0], given: 0

Re: When a certain integer x is divided by 5 the remainder is 2 [#permalink]

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20 May 2014, 08:50
Hello from the GMAT Club BumpBot!

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Re: When a certain integer x is divided by 5 the remainder is 2 [#permalink]

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05 Dec 2015, 03:35
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).

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Re: When a certain integer x is divided by 5 the remainder is 2 [#permalink]

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19 Feb 2017, 06:25
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).

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] 19 Feb 2017, 06:25
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