When positive integer n is divided by 3, the remainder is 1. When n is divided by 8, the remainder is 5. What is the smallest positive integer p, such that (n + p) is a multiple of 15?	Choose the most appropriate option:	A) 1	B) 2	C) 5	D) 19	E) 20
When positive integer n is divided by 3, the remainder is 1 i.e., n=3x+1   values of n can be one of {1, 4, 7, 10, 13, 16, 19, 22..............49, 52, 59..................}   Similarly,   When n is divided by 8, the remainder is 5..i.e., n=7y+5   values of n can be one of {5, 13, 21, 29, 37, 45, 53, 61........}   combining both the sets we get   n={13, 37, ...........}   What is the smallest positive integer p, such that (n + p) is a multiple of 15 or 15x   in case of n=13 p=2   so for min value of p, we take min value of n.   2 is the answer.
<result>B</result>
When positive integer n is divided by 3, the remainder is 1. When n is divided by 8, the remainder is 5. What is the smallest positive integer p, such that (n + p) is a multiple of 15?