Question

36. During a mass drill exercise, 6250 students of different schools are arranged in rows such that
the number of students in each row is equal to the number of rows. In doing so, the instructor
finds out that 9 children are left out. Find the number of children in each row of the square
OR
A hall has a capacity of 2704 seats. If the number of rows is equal to the number of seats in each
row. then find the number of seats in each row
smaller of the two numbers is 3.​

Answer 1

Answer:

Say number of students in each row =x

Number of rows =x

According to given equation-

x2 =6250−9

x= √6241

x=79.

Hence, there are 79 students in each row as well as 79 rows.

or

Suppose, The number of seats in each row = z

Then,

Number of rows = number of seats in each row 7 z

So, the total plants = z×z=z²

As per question,

z²=2704

z=52

Hence, seats in each row = 52.

Answer 2

Answer:

79 students in each row

total no. of students = 6250

no. of students left = 9

so,no.of students standing in row

= 6250 - 9 =6241

no. of students in each row =√6241 = 79