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Problem 93

Number theory Difficulty 1.2 Multiple choice CEMC Gauss (Grade 8) · Canada · 2019

How many positive integers less than 100 are divisible by both 3 and 7?

Pick one

Official solution

When $-37$ and 11 are added, the result is $-37+11=-26$ . The correct answer is (A).

Alternately, the result can be found by subtracting, $-26-11=-37$ .

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.