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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 [#permalink]

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New post Updated on: 20 May 2014, 08:55
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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, 09:08.
Last edited by Bunuel on 20 May 2014, 08:55, edited 1 time in total.
Added the OA.
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Re: When a certain integer [i]x[/i] is divided by 5 the [#permalink]

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New post 10 May 2012, 09:56
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.

Answer: C.

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

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New post 11 May 2012, 05:26
Thanks, that makes sense!
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Re: When a certain integer [i]x[/i] is divided by 5 the [#permalink]

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New post 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]

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New post 02 Nov 2012, 15:09
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.

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.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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

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New post 19 Feb 2017, 06:25
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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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