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Problem 149

Combinatorics Difficulty 1.4 Multiple choice CEMC Gauss (Grade 8) · Canada · 2014

John was born on a Wednesday. Alison was born 72 days later. On what day of the week was Alison born?

Pick one

Official solution

Since each of the numbers in the set is between 0 and 1, then the tenths digit of each number contributes more to its value than any of its other digits.

The largest tenths digit of the given numbers is 4, and so $0.43$ is the largest number in the set.

The smallest tenths digit of the given numbers is 0, so $0.034$ is the smallest number in the set.
Therefore, the sum of the smallest number in the set and the largest number in the set is $0.034+0.43=0.464$ .

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