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2014/15 AHSMC Part 1 Problem 5

Problem 5 of 16

For every set of five of the numbers 11, 22, …, 20142014, Lac writes down the smallest of the five numbers. The largest number she writes down is

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Solution

The largest minimum occurs when Lac chooses the numbers 20102010, 20112011, 20122012, 20132013 and 20142014, and writes down 20102010. The answer is (C).

University of Alberta