Answer:
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.