2012
Problem - 1408
When Ringo places his marbles into bags with 6 marbles per bag, he has 4 marbles left over. When Paul does the same with his marbles, he has 3 marbles left over. Ringo and Paul pool their marbles and place them into as many bags as possible, with 6 marbles per bag. How many marbles will be left over?
Answer
A
The remainder will be $4+3\equiv 7\equiv \boxed{1}\pmod{6}$.