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Problem solving [#permalink] New post 01 Dec 2012, 00:50
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help me;
When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest
positive integer k such that k+n is a multiple of 35?
A)3. B)4. C)12. D)32. E)35
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Joined: 05 Apr 2011
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GMAT 1: 570 Q49 V19
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Kudos [?]: 136 [0], given: 39

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Re: Problem solving [#permalink] New post 01 Dec 2012, 11:39
bm07biswas wrote:
help me;
When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest
positive integer k such that k+n is a multiple of 35?
A)3. B)4. C)12. D)32. E)35



n is divided by 5, the remainder is 1
n = 5t + 1
possible values of n = 6,11,16,21,26,31,36

n is divided by 7, the remainder is 3
n = 7r + 3
possible values of n = 10, 17, 24, 31

common in both is 31
so value of k for which k+n is a multiple of 35 is 4

Answer will be B
Hope it helps!
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ankit
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Re: Problem solving   [#permalink] 01 Dec 2012, 11:39
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