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AMO 2018 — Primary 5 (Grade 5) Question 11

AMO · AMO 2018 — Primary 5 (Grade 5)

Question 11

In the figure, the whole numbers from 1 through 7 are to be placed, one per square. The sum of the numbers in the left column, the sum of the numbers in the right column, and the sum of the numbers in each diagonal are the same. What is the largest possible product of the numbers across the gray row?

Question illustration