24 mango trees, 56 apples trees and 72 orange trees have to be planted in rows such that each row contains the same number of trees of one variety only. Find the minimum number of rows in which the above mentioned trees may be planted.

Correct option is A

Given:

24 mango trees, 56 apple trees and 72 orange trees have to be planted in rows such that each row contains the same number of trees of one variety only.

Solution:

To get the minimum number of rows, we need maximum trees in each row.

In each row, we need the same number of trees

We need to calculate HCF (24, 56, 72)

=> 24 = 2³ × 3

=> 56 = 2³ × 7

=> 72 = 2³ × 3²

HCF = 2³ = 8

Number of minimum rows = (24 + 56 + 72)/8 = 152/8

=> 19

Hence, option (a) is the correct answer.