Question

in a school a PT Teacher wants to arrange 2000 students in the form of rows and columns for PT display if the number of rows is equal to number of columns and 64 students could not be accommodated in this arrangement find the number of rows



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Answer 1

Answer:

It is given that ,

Total number of students in a school =2000

The P.T teacher arranges in such a way that

No. of roes = 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

$= \sqrt{2×2×2×2×11×11}$

By further calculation

=2×2×11

=44

Answer 2

Answer=44

We have a total of 2000 students. These students should be arranged in the form of rows and columns for P.T. Display.

We are given that the number of rows equals the number of columns.

64 students could not be accommodated in this arrangement.

So, Number of students in the arrangement =2000−64

Number of students in the arrangement =1936

Let x

denote the number of rows.

Since, Number of rows is equal to Number of Columns, we have

Number of rows =

Number of Columns

So, Number of Rows ×

Number of Columns =

Number of Students in the arrangement

Substituting the values in above equation, we get

⇒x⋅x=1936

⇒x2=1936

Taking Square root on both the sides, we have

⇒x=1936−−−−√

By factorization method, we have

⇒x=2×2×2×2×11×11−−−−−−−−−−−−−−−−−−√

⇒x=2×2×11

By multiplying the terms, we get

⇒x=44