Explanation:

We are given that the numbers m and n, when divided by 6, leave remainders of 2 and 3, respectively.

Hence, we can represent the numbers m and n as 6p+2 and 6q+3, respectively, where p and q are suitable integers.

m-n = (6p+2) - (6q+3)

= 6p - 6q - 1 = 6(p-q) - 1

A remainder must be positive, so let’s add 6 to this expression and compensate by subtracting 6

6(p-q) = 6(p-q) - 6 + 6 - 1

= 6(p-q) - 6 + 5

= 6(p-q-1) + 5\

Thus, the remainder is 5

Hence, option 3 is the correct answer.