Question

If a three-digit number is divided by 5 or by 6, remainder is 1 in each case. What is the least such three-digit number?

Answer 1

The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.

Explanation:

This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.