The area of a circle is proportional to the square of its radius. A small circle of radius 3 cm is drawn within a larger circle of radius 5 cm. Find the ratio of the difference between the area of the larger circle and that of the smaller circle to the area of the larger circle.

Simplify  $$ ^{3}\sqrt{-2197} × ^{3}\sqrt{{-125}} \ ÷ ^{3}\sqrt{27\over512}$$.

On dividing a certain number by 342 we get 47 as remainder. If the same number is divided by 18, what will be the remainder?

Find the cube root of $$ ^{3}\sqrt{-13824}$$.

Three Alarm make a beep after every 48 sec, 72 sec and 108 sec respectively. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest is

Which Indian cricketer has been named by the Sports Ministry for the Rajiv Gandhi Khel Ratna?

The Supreme Court has ordered the case to be handed over to the CBI for the investigation of which actor's death?

Which day is celebrated all over the world today?