Lesson: Challenging Problem Solving - 11t03

Advanced Number Properties: Remainder Questions

[Page 11 of 37]

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?
0
2
3
4
5

Choose numbers to represent m and n. Type your choices into the textboxes below, and then click Continue.

m =

n =


Substitute m = 9 and n = 12 into the question stem and answer choices. Choose the correct answer and then click Continue.

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?
0
2
3
4
5

m = 7 + 2 = 9
n = 7 + 5 = 12

So mn = 9 12 = 108 and 108 ΒΈ 7 = 15, remainder 3.
Choice (C) is the answer.

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