A conical vessel of radius 6 cm and height 8 cm. is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just immersed. The fraction of water that overflows is? 

In a circle, PQ is diameter, RS is chord of length equal to radius of circle. PR and QS when produced intersect at point T. Find the ∠PTQ?

At what annual percentage rate, 10 years of simple interest on an amount will be $$ {2\over 5}$$ of the addition?

What is the simplified value of (1– sin A cos A)(sin A + cos A)?

The ratio of the weights of Monu and Sonu is 4 : 5 If the weight of Monu increases by 12 percent and the weight of Sonu increases by 16.5 percent, the total weight of both increases by 73.76 kg, then find the weight of both of them By what percent does it increase?

Ajay. Vijay and Sashi can do a piece of work in 20, 40 and 60 days, respectively. In how many days can Ajay do the work if he is assisted by Vijay and Sashi on every fourth day?

ABC is an isosceles triangle with AB = AC, A circle through B touching AC at the middle point of Q, intersects AB at P. Then AP : AB is : 

What is the reflection of the point (-3, 1) in the line x = -2?