Question

A man plants his orchad with 6084 trees and arranges them so that there are as many rows as there are trees in each row. How many rows are there?

• A. 82
• B. 72
• C. 75
• D. 78

Answer 1

The correct option is D 78

Let the number of rows be x
$\therefore$ Number of trees in each row = x
and, total number of trees planted = $x\times x=x^2$
Given $x^2=6084\Rightarrow x=\sqrt{6084}=\sqrt{2\times 2\times 3\times 3\times 13\times 13}$
$=2\times 3\times 13=78$