Question

Which of the following distribution is not possible, if 72 laddus are to be packed in some boxes, such that each box has same number of laddus?

• A. 12 laddus in one box
• B. 16 laddus in one box
• C. 18 laddus in one box
• D. 24 laddus in one box

Answer 1

The correct option is B 16 laddus in one box

We are given that each box has same number of laddus, so 72 must be a factor of the number of boxes.

72 = 1 $\times$ 72
72 = 2 $\times$ 36
72 = 3 $\times$ 24
72 = 4 $\times$ 18
72 = 6 $\times$ 12
72 = 8 $\times$ 9
Factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.

So, 16 laddus in one box is not a possible distribution.