Question

A PT teacher asks 4000 students to stand in a way that the numberof rows is equal to the number of columm find the number of raws if 31 students were left after the arrangement?

Answer 1

$\textbf{Answer}$

$\textbf{Total students = 4000}$

Teacher wants students to $\textbf{stand in a way}$ that the $\textbf{number of rows is equal to}$ the $\textbf{number of columns}$.

To divide 4000 students into $\textbf{equal number of rows}$ and $\textbf{columnd,}$
$\textbf{4000 should be a perfect square}$, but $\textbf{4000 is not a perfect square}$.
So $\textbf{nearest perfect square to 4000}$ is $\textbf{3969}$.

Since 31 students are left,
Remaining students = 4000 - 31
$\textbf{Remaining students = 3969}$

Since 3969 is a perfect square,
$\textbf{3969 = 63}$ × $\textbf{ 63}$

$\textbf{Number of rows = 63}$
$\textbf{Number of columns = 63}$

$\textbf{Hope My Answer Helped}$
$\textbf{Thanks}$