Quantitative Aptitude - Arithmetic Ability Questions

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

Calculate the area (in cm2) of a circle of radius 17.5 cm.

Curved surface area of a cylinder is 528 sq cm. If circumference of its base is 44 cm, find the height of the cylinder?

9 hrs after a goods train passed a station, another train travelling at a speed of 72 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 3 hours. What is the speed of the goods train?

A train left 1 hour later than the scheduled time but in order to reach its destination 200 km away in time, it had to increase its usual speed by 10 km/hr. What is the usual speed (in km/hr) of the train?

If 169 is subtracted from the square of a number, then the result obtained is 7056. What is the number?

Ram's father is twice as old as Ram is. Eight years ago the age of Ram's father was 2.5 times his age. What is Ram's current age?

Rehman goes on a trip on his motor-cycle and rides for 661 kms. If he rides for 8 hours at a speed of 31 km/hr, find at what speed he travels for the remaining 7 hours of the journey?