Question

Inviting all Maths Aryabhattas and Experts!

Solve the above question!
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Full explanation needed✌✌​

Answer 1

Answer:

23 Chairs

Step-by-step explanation:

Let's chairs in row be x

so number of rows too, x

total number of chairs = x * x

= x ^ 2

There are 7033 students in school and every student gets the chair. some chairs leaves empty

so, x ^ 2> 7033, such that x ^ 2 is not exceeds than 7033 + 31 = 7064

so finding the square number just below 7064

80 ^ 2 = 6400

90 ^ 2 = 8100

the number is between 80 and 90

now 85 ^ 2 = 7225

so expected number is below 85

83 ^ 2 = 688984 ^ 2 = 7056

so x ^ 2 = 7056 = 84 ^ 2

which is the total number of chairs in auditorium

so 7056 - 7033 = 23

23 chairs remains empty

Answer 2

Answer:

23 chair are left  vacant

Step-by-step explanation:

Let number of row=x

then number of chairs in each row = x

total no of chairs=x*x=x²

as the no of chair are more the students

so let x²=7033+y

Now 7033+y is a perfect no

perfect square next to 7033 is 7056

so x²=7056,x=84

so 7033+y=7056

y=7056-7033

=23

so 23 chair are left  vacant