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

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

10 May 2012, 09:08

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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

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

10 May 2012, 09:56

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.

Answer: C.

Hope it's clear.
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Intern

Joined: 05 May 2012

Posts: 16

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Kudos [?]: 5 [0], given: 17

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

11 May 2012, 05:26

Thanks, that makes sense!

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Joined: 22 Oct 2012

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Kudos [?]: 5 [0], given: 12

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

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.

Answer: C.

Hope it's clear.

please help me to understand.. how its divisible by other option :?:

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

02 Nov 2012, 15:09

This post received
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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.

Answer: C.

Hope it's clear.

please help me to understand.. how its divisible by other option :?:

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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Re: When a certain integer [i]x[/i] is divided by 5 the [#permalink] 02 Nov 2012, 15:09

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

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

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

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