State which of the following are statements. Justify. In case of statement, state its truth value.

The sum of cube roots of unity is zero.

State which of the following are statements. Justify. In case of statement, state its truth value.

It rains heavily.

Write the following compound statements symbolically.

Nagpur is in Maharashtra and Chennai is in Tamilnadu

Write the following compound statements symbolically.

Triangle is equilateral or isosceles.

Write the following compound statements symbolically.

The angle is right angle if and only if it is of measure $90°$.

Write the following compound statements symbolically.

Angle is neither acute nor obtuse.

Write the following compound statements symbolically.

If $∆ABC$ is right angled at $B$, then $m\angle A+m\angle C=90°$

Write the following compound statements symbolically.

Hima Das wins gold medal if and only if she runs fast.

Write the following compound statements symbolically.

$x$ is not irrational number but is a square of an integer.