CAT (QA) PYQs

If the area of a regular hexagon is equal to the area of an equilateral triangle of side $12$ cm , then the length, in cm , of each side of the hexagon is

Let $A$ and $B$ be two regular polygons having $a$ and $b$ sides, respectively. If $b = 2a$ and each interior angle of $B$ is $3/2$ times each interior angle of $A$, then each interior angle, in degrees, of a regular polygon with $a + b$ sides is

Corners are cut off from an equilateral triangle $T$ to produce a regular hexagon $H$. Then, the ratio of the area of $H$ to the area of $T$ is