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33 guava trees, 55 banana trees and 88 malta trees need to be planted in rows such that each row contains the same number of trees of one type only. T
Question

33 guava trees, 55 banana trees and 88 malta trees need to be planted in rows such that each row contains the same number of trees of one type only. The minimum number of rows in which the trees may be planted is:

A.

18

B.

12

C.

20

D.

16

Correct option is D

Given:
Number of guava trees = 33
Number of banana trees = 55
Number of malta trees = 88
Formula Used:
To minimize the number of rows, the number of trees in each row must be the greatest common divisor (GCD) of the number of trees of each type.
The total number of rows is the sum of the number of rows for each type of tree, which can be calculated by dividing the total number of trees by the GCD.
Solution:
 33 = 3 × 11
55 = 5 × 11
88 = 8 × 11
The GCD of 33, 55, and 88 is 11.
Number of rows for guava trees =3311=3\frac{33}{11} = 3 \\

Number of rows for banana trees = 5511=5\frac{55}{11} = 5 \\

Number of rows for malta trees =8811=8\frac{88}{11} = 8
The total number of rows = 3 + 5 + 8 = 16
So, the minimum number of rows in which the trees may be planted is 16.

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