Find the largest four digit perfect square number

Find the least number of four digits which is a perfect square. Also find the square root of the number so obtained.

Check whether the following number is a perfect square or not?

$62500$

The difference of two perfect squares is a perfect square.

Find the greatest number of five digits which is a perfect square. Also find the square root of the number so obtained.

Check whether the following number is a perfect square or not?

$16641$

Check whether the following number is a perfect square or not?

$152100$

Which of the following is the square of an odd number?

Check whether the following number is a perfect square or not?

$9801$

Check whether the following number is a perfect squares or not?

$1250$

Between which two numbers does the square root of $2025$lie?

The product of two perfect squares is a perfect square.