The smallest $4$ digit number which is a perfect square is _____. 

An odd number when multiplied by itself gives $2401$.

If the unit digit of a perfect square is $4$, then the unit digit of its square root can be ____.

$\left(A\right) 2 \left(B\right)8$

What will be the units digit of the squares of the following numbers?

$71, 669, 2533 \& 30827$

$\left(\mathrm{i}\right) 1 \left(\mathrm{ii}\right) 9 \left(\mathrm{iii}\right) 8$

Which of the following is not a perfect square?

The smallest number with which $120$ should be multiplied, so that the product is a perfect square is _____.

The greatest $3$ digit number which is a perfect square is _____.

If $p \& q$ are perfect squares, then $\sqrt{\frac{p}{q}}$ is always a rational number. Is the statement true?