Question

There are 1100 chairs in a hall. They are being arranged in no of rows into the num of columns. What is the minimum no of chairs that need to be subtracted. What is the minimum no of chairs that need to be added.

Answer 1

find the square root of 1100

We get 33 as quotient and 11 as remainder

Find next perfect square no and previous square no

next sq no=34

previous sq no=32

find square no of them

34=1156

32=1024

the chairs needed to be added is 1156-1100=56 chairs

the chairs needed to be subtracted is 1100-1024=76 chairs