Question
Download Solution PDF24 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. Find the minimum number of rows in which the above mentioned trees may be planted.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
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.
Calculations:
There are 24 mangoes trees, 56 apple trees & 72 Orange trees.
To get the minimum number of rows, we need maximum trees in each row.
In each row, we need the same number of trees
So we need to calculate HCF
HCF of 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
∴ The correct choice will be option 3.
Last updated on Jul 4, 2025
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