Q12 of 42 Page 156

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?

Note that, multiply least numbers together:

We have 1, 2, 3, 4, 5, 6, 7


Product = 1 × 2 × 3 × 4 × 5 × 6 × 7


⇒ Product = 5040


And the other numbers are 8, 9, 10.


Product = 8 × 9 × 10


⇒ Product = 720


Divide them,



This quotient is minimum.


Thus, Group 1 has numbers, 1, 2, 3, 4, 5, 6, 7


Group 2 has numbers, 8, 9, 10


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