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IMAS 2013–2014 Junior Division — Round 2 Question 10

IMAS · IMAS 2013–2014 Junior Division — Round 2

Question 10

Divide the ten positive integers from 1 to 10 into two groups so that when the product of the numbers in the first group is divided by the product of the numbers in the second group, the quotient is a positive integer. What is the minimum value of this quotient?