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Problem solving

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Joined: 30 Nov 2012
Posts: 10
Followers: 1

Kudos [?]: 1 [2] , given: 4

Problem solving [#permalink]  30 Nov 2012, 23:50
2
KUDOS
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
Status: If you think you can, then eventually you WILL!
Joined: 05 Apr 2011
Posts: 399
Location: India
Concentration: Finance, Marketing
Schools: ISB '14 (D)
GMAT 1: 570 Q49 V19
GMAT 2: 700 Q51 V31
GPA: 3
WE: Information Technology (Computer Software)
Followers: 44

Kudos [?]: 170 [0], given: 39

Re: Problem solving [#permalink]  01 Dec 2012, 10:39
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

Hope it helps!
_________________
Re: Problem solving   [#permalink] 01 Dec 2012, 10:39
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