Quantitative Aptitude - Arithmetic Ability Questions

If tan(A/2) = x, then the value of x is

Simple interest on a certain sum of money for 3 years at 14% per annum is half the compound interest on Rs. 10000 for 2 years at 10% per annum. The sum placed on simple interest is

The average height of 50 bats is 126 cm. Some bats of average height 120 cm are removed. If the new average height is 130 cm, then how many bats are remaining?

5% more is gained by selling a watch for Rs. 350 than by selling it for Rs. 340. The cost price of the watch is

If x+1x = 4, then what is the value of x6+1x6 ?

One of the two inlet pipes works twice as efficiently as the other. The two, working alongside a drain pipe that can empty a cistern all by itself in 8 hours, can fill the empty cistern in 8 hours. How many hours will the less efficient inlet pipe take to fill the empty cistern by itself?

The average age of 30 boys in a class is 10 years. If the age of their teacher is also included, the average increases by one year. The teacher's age in years is

If 2x - 3 = 3x - 5, then the numerical value of (x - 3)2 is