When positive integer n is divided by 2, the remainder is 1. When n is divided by 7, the remainder is 5. What is the smallest positive integer p, such that (n + p) is a multiple of 10? Pick one:
A) 1
B) 2
C) 5
D) 19
E) 20
When positive integer n is divided by 2, the remainder is 1 i.e., n=2x+1   values of n can be one of {1, 3, 5, 7, 9, 11, 13, 15, 17,19,..............31, 33,35..................}   Similarly,   When n is divided by 7, the remainder is 5..i.e., n=7y+5   values of n can be one of {5, 12, 19, 26, 33, 40, 47, 54, 61........}   combining both the sets we get   n={19, 52, ...........}   What is the smallest positive integer p, such that (n + p) is a multiple of 21 or 21x   in case of n=5 p=5   so for min value of p, we take min value of n.   5 is the answer.
<result>C</result>
When positive integer n is divided by 2, the remainder is 1. When n is divided by 7, the remainder is 5. What is the smallest positive integer p, such that (n + p) is a multiple of 10?