A pipe can fill a tank in 72 minutes. But there is a leak in the bottom of the tank due to which the tank is filled in 18 minutes more. Find in how many hours the leak can empty a full tank ?

The volume of the largest right circular cone that can be cut out of a cube of edge 14 cm.

A ladder is placed along a wall such that its upper end is touching the top of the wall. The foot of the ladder is 10 ft away from the wall and the ladder is making an angle of 60 ° with the ground. When a man starts climbing on it, it slips and now ladder makes an angle of 30° with ground. How much did the ladder slip? 

A boat covers 24 km upstream and 36 km downstream in 6 hours, while it covers 36 km upstream and 24 km downstream in $$6{1\over 2}$$ hours. The speed of the current is: 

Balls of marbles of diameter 1.4 cm are dropped into a cylindrical beaker containing some water and fully submerged. The diameter of the beaker is 7 cm. Find how many marbles have been dropped in it if the water rises by 5.6 cm?

What is the approximate value will come in place of the question mark(?) in the following questions?

If 1 + sin² A = 3 sin A cos A, then what are the possible values of tan A?

The following Charts shows the amount of grain exported (in million kg ) by a country during 2013–18.

In which year did jute exports become the highest?