The average weight of 15 students of a class increases by 1.5 kg when a student of 40 kg is replaced by a new student. What is the weight (in kg) of the new student?

The ratio between heights of two-cylinder is in the ratio of 3:5. Their volumes are in the ratio 27:80. Find the ratio between their radius.

Express 35% as a simple fraction:

Pooja wants to sell a watch at a profit of 20%. She bought it at 10% less and sold it at ₹ 30 less, but still she gained 20%. The cost price of watch is

(sec A + tan A – 1) (sec A – tan A+1) =?

In a kilometre race, A beats B by 30 seconds and B beats C by 15 seconds. If A beats C by 180 metres, the time taken by A to run 1 kilometre is

Two vessels A and B contain spirit and water mixed in the ratio 5:2 and 7:6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8:5?

The bisector of ∠B in ΔABC meets AC at D. If AB=10 cm and BC=11 cm and AC=14 cm, then the length of AD is: