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# If the remainder is 2 when x is divided by 5, then is x divi

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Manager
Joined: 19 Oct 2011
Posts: 129

Kudos [?]: 463 [2], given: 33

Location: India
If the remainder is 2 when x is divided by 5, then is x divi [#permalink]

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12 Sep 2012, 18:36
2
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If the remainder is 2 when x is divided by 5, then is x divisible by 7?
(1) x is a prime number

(2) x+3 is a multiple of 10
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Kudos [?]: 463 [2], given: 33

Director
Status: Tutor - BrushMyQuant
Joined: 05 Apr 2011
Posts: 622

Kudos [?]: 763 [0], given: 59

Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
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WE: Information Technology (Computer Software)
Re: If the remainder is 2 when x is divided by 5, then is x divi [#permalink]

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12 Sep 2012, 23:50
If the remainder is 2 when x is divided by 5, then is x divisible by 7?
(1) x is a prime number

(2) x+3 is a multiple of 10

If the remainder is 2 when x is divided by 5
=> x = 5t + 2

STAT1: x is prime
possible values of x are 2,7,12,17
2 is NOT divisible by 7
7 is divisible by 7
so, INSUFFICIENT

STAT2: x+3 is a multiple of 10
Possible values of x are 7, 17,27
7 is divisible by 7
17 is not divisible by 7
SO NOT SUFFICIENT.

Taking both the cases together we still have the possibility of x = 7,17

SO combined also NOT SUFFICIENT.

Hope it helps!
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Kudos [?]: 763 [0], given: 59

Re: If the remainder is 2 when x is divided by 5, then is x divi   [#permalink] 12 Sep 2012, 23:50
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# If the remainder is 2 when x is divided by 5, then is x divi

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