A PT teacher wants to arrange maximum possible number of 6000 students in a Held such that the number of rows is equal to the number of columns. Find the number of rows if 71 were left out after arrangement.

Given:

A PT teacher wants to arrange maximum possible number of 6000 students in a Held such that the number of rows is equal to the number of columns. 

To do:

We have to find the number of rows if 71 were left out after arrangement.

Solution:

Number of students $= 6000$

Number of students left out $= 71$

This implies,

Number of students arranged in the field $= 6000 - 71$

$=5929$

Let the number of rows be $x$.

This implies,

The number of students in each row $=x$

Therefore,

$x \times x=5929$

$x^{2}=5929$

$x=\sqrt{5929}$

$x=\sqrt{7 \times 7 \times 11 \times 11}$

$x=7 \times 11$

$x=77$

Therefore, the number of rows is 77.

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Updated on: 10-Oct-2022

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