Question

Can you divide the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 into two groups such that the product of numbers in one group divides the product of numbers in the other group and the quotient is minimum?

Answer 1

Take one group as {8, 9, 10} and the other group as {1, 2, 3, 4, 5, 6, 7}

1 × 2 × 3 × 4 × 5 × 6 × 7 = 8 × 9 × 10 × 7

Hence, the minimum quotient is 7.