Quantitative Aptitude - Arithmetic Ability Questions

If P + 1P+2 = 1, then the value of P+23+1P+23-3 ?

What is the value of 2 - 2z + z22 + 2z - z2, when z+2z = 2 ?

A tank can be filled in 30 minutes. There is a leakage which can empty the tank in 90 minutes. Therefore, the tank will be filled in

Pipe A can empty a filled tank in 28 hours while Pipe B can fill the same tank, when empty in 35 hrs. If alternatively Pipes A and B are turned on for an hour each time, starting when the tank is full, how long will it take to empty the tank?

The total surface area of a hemisphere is 462 sq cm, what is its curved surface area? (Take π = 22/7)

What least number must be subtracted from 518, so that the sum is completely divisible by 13?

What must be the length (in cm) of the diagonal of a rectangle if its area and breadth are 60 cm² and 5 cm respectively?

The third proportional of two numbers 24 and 36 is