When positive integer n is divided by 4, 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 35?	Pick one:
A) 1
B) 2
C) 5
D) 19
E) 20
When positive integer n is divided by 4, the remainder is 1 i.e., n=4x+1   values of n can be one of {1, 5, 9, 13, 17, ...........29, 33, 37..................}   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,........}   combining both the sets we get   n={5,33, ...........}   What is the smallest positive integer p, such that (n + p) is a multiple of 35 or 35x   in case of n=33 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 4, 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 35?