Q.

A forester wants to plant 44 apple trees, 66 banana trees and 110 mango trees in equal rows. Also, he wants to make distinct rows of different trees. The number of minimum rows that are requires are


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a

2

b

3

c

10

d

11 

answer is C.

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Detailed Solution

Concept: We must place as many trees as we can in each row because a minimum number of rows is required. As a result, the HCF of the total number of the three trees is equal to the number of trees in each row. Simply divide the total number of trees by the number of trees per row to arrive at the solution once we know how many trees are in each row.
As we can see, 66 can be divided into 11,3,2, and 2, whereas 44 can be divided into 11 and 4, or two 2s. Also, 110 is divisible by 11,5 and 2. So, the three numbers can be represented as:
Question ImageQuestion ImageQuestion ImageQuestion ImageConsequently, there are 22 trees in each row.
Let's add the numbers for each type of tree to determine the overall number of trees.
Total trees Question Image The total number of tree rows is now determined by,Question Image Which is equal to Question Image rows.
Hence, the correct answer is option 3.
 
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