# What is The Minimum Number of Rows

There are 24 peaches, 36 apricots and 60 babanas and they have to be arranged in several rows contains the same number of fruits of only one type. What is the minimum number of rows required for this to happen ?

- 12
- 9
- 10
- 6

**Answer: (3) 10**

**Explanation:-**

The total number of fruits = 24 + 36 + 60 = 120

We can put one fruit in one row. Then, the number of row = 120

The minimum number of rows required = 120/HCF of 24 , 36 & 60.

Factors of 24 = 2 x 2 x 2 x 3.

Factors of 36 = 2 x 2 x 3 x 3.

The factors of 60 = 2 x 2 x 3 x 5.

The HCF of 24, 36 & 60 = 2 x 2 x 3 = 12

The minimum number of rows required = 120/12 =10

Hence, the answer is (3) 10.