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There is a standard way of solving these questions quickly, which you should mug up/write in notes:

**dividend = divisor Ã— quotient + remainder**

- The remainder when (m + n) is divided by 12 is 8

- What will be the minimum possible value of (m+n) when the quotient is 1

So,

- (m + n) = 12*1 + 8

- (m + n) = 20

Similarly, for (m - n)

- (m - n) = 12*1 + 6

- (m - n) = 18

adding the above two equations we get

- 2m = 38

- m = 19

- replacing m in any of the above equation we will get n = 1

Thus, remainder then mn is divided by 12, i.e. 19/6, remainder: 1

Answer: 1

**Video solution:**