Question

Find the least number which must be added to the following number so as to get a perfect square.

$1825$

Answer 1

It gives a remainder as $61$.

This represents that the square of $42$ is less than $1825$.
The next number is $43$ and $(43{)}^2=1849$
The number to be added to get a perfect square $=1849-1825=24$
And hence, required perfect square is $1849$.