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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] New post 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.
Added the OA.
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Re: When a certain integer [i]x[/i] is divided by 5 the [#permalink] New post 10 May 2012, 08:56
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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.

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] New post 11 May 2012, 04:26
Thanks, that makes sense!
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Re: When a certain integer [i]x[/i] is divided by 5 the [#permalink] New post 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.

Answer: C.

Hope it's clear.




please help me to understand.. how its divisible by other option :?:
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Joined: 02 Sep 2009
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Re: When a certain integer [i]x[/i] is divided by 5 the [#permalink] New post 02 Nov 2012, 14:09
1
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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.

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 MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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] New post 20 May 2014, 07:50
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Re: When a certain integer x is divided by 5 the remainder is 2   [#permalink] 20 May 2014, 07:50
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