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
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