Question

In a school, a P.T. teacher wants to arrange 2000 students in the form of rows and columns for P.T. display. If the number of rows is equal to a number of columns and 64 students could not be accommodated in this arrangement. Find the number of rows.

Answer 1

Given that :-

Total number of students in a school

$= 2000$

The P.T teacher arranges in such a way that

No. of rows = No. of students in each row

So,

64 students are left,

Required number of students

$= 2000 - 64 = 1936$

No. of row

$= \sqrt{1936}$

We know that,

It can be written as

$= 2×2×2×2×11×11$

By further calculation,

$=2×2×11$

$=44$