Jamboree Question of the Day - Day 90, Feb 10th 2011

When a number is divided by 13, quotient is Q, remainder is 1; when divided by 19 remainder is 1. What is the remainder when Q is divided by 19?

A) 1

B) 2

C) 0

D) 4

E) 5

Solution (Posted on Feb 11th):

Answer is C, N = 13 Q + 1 = 19 P + 1

So Q is a multiple of 19.