Pick numbers on problems involving remainders.
A question like this may seem very abstract at first. But you can simplify it by picking values for m and n that are easy to work with and that satisfy the limitations of the question.
If m and n are positive integers, m divided by 7 leaves a remainder of 2, and n divided by 7 leaves a remainder of 5, what is the remainder when mn is divided by 7?
m =
n =
To come up with good, simple numbers, add the remainder to the number you're dividing by: m divided by 7 leaves a remainder of 2, so pick m = 7 + 2 = 9; n divided by 7 leaves a remainder of 5, so n = 7 + 5 = 12.
Now it should be easy to solve the problem.
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