Question

A number of 12345 chairs are to be arranged in rows and columns such that number of
rows is equal to the number of columns. How many minimum chairs are required more
to do this arrangement?​

Answer 1

Answer:

199

I'll be short.

Let No. of rows = No. of columns = x

Then no. of chairs required in the arrangement (x,x) = x^2

But no. of chairs for the arrangement (x,x)= 12345

Therefore,

x^2 = 12345

=> x= 111.1 (apprx) which is not possible.

Since we require a square arrangement, we need to calculate the next square number after 111, i.e 112.

(112)^2 = 12544

Hence no. of extra chairs req. is 12544 - 12345 = 199.