Question

A school has 963 students appearing for 10th and 12th boardexams each section in the school has same number of students the number of section for the 10th and 12th class can be

Answer 1

$31 \sqrt{2}$

Answer 2

Answer:

The number of sections = 42

Step-by-step explanation:

Given,

Total number of students = 963

Let there be ' x ' number of sections in exam unit of school

According to question,

Each section has same number of students in it

Therefore,

Total number of students in school will be -

N = $S_{x}$

We know,

$S_{x}$ = x ( x + 1 ) / 2

N = x ( x + 1 ) / 2

Substituting the value of N = 963

903 = x ( x + 1 ) / 2

1806 = x ( x + 1 )

1806 = x² + x

x² + x - 1806 = 0

x² + 43x - 42x - 1806 = 0

x ( x + 43 ) - 42 ( x + 43 ) = 0

( x - 42 ) ( x + 43 ) = 0

x - 42 = 0 ; x + 43 = 0

x = 42 , x = -43

Number of sections cannot be negative,

Hence,

The number of sections = 42