Question

 15 oranges, 25 apples and 40 pears are packed in boxes in such a way that each box should contain equal number of fruits of the same type and no fruit is left. What is the greatest possible number of fruits that can be packed in one box? ​

Answer 1

For a number of boxes to be the least, the number of fruits in each box should be maximum.

As per the given data, the number of fruits in each box is equal to the HCF of 96 and 112, i.e., 16.

Therefore, minimum number of boxes =

16

96

+

16

112

=13.