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# When x is divided by 5, the remainder is 2. Is x divisible

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VP
Joined: 22 Nov 2007
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When x is divided by 5, the remainder is 2. Is x divisible [#permalink]  27 Jan 2008, 10:32
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When x is divided by 5, the remainder is 2. Is x divisible by 7?
1. x is a prime number
2. x+3 is a multiple of 10
Intern
Joined: 18 Dec 2007
Posts: 4
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Kudos [?]: 3 [1] , given: 0

Re: remainder [#permalink]  27 Jan 2008, 21:37
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Pick Numbers

Lets pick 12, remainder is 2 and not divisible by 7

For b, x = 12 remainder when divided by 5 is 2, x+3 = 15, not multiple of 10

But when you pick 7 both S1 and S2 hold true. Answer is E
Manager
Joined: 20 Sep 2007
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Kudos [?]: 33 [1] , given: 0

Re: remainder [#permalink]  29 Jan 2008, 08:34
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1 ; X IS A PRIME NUMBER , LET US SAY X=7; WHEN 7 DIVIDED BY 5 REMAINDER IS 2 AND ITS DIVISIBLE BY 7 , BUT WHEN X=17 , WHEN DIVIDED BY 5 REMAINDER IS 2 BUT NOT DIVISIBLE BY 7
INSUFF.

2 ; AGAIN SUPPOSE WE TAKE 7 AND 17 , CONDITION THAT X+3 IS A MULTIPLE OF 10 FOR BOTH BUT 17 NOT DIVISIBLE BY 17

BOTH TAKEN TOGETHER IS THE SAME PROBLEM
Re: remainder   [#permalink] 29 Jan 2008, 08:34
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