Quantitative Aptitude - Arithmetic Ability Questions

PT is a tangent to a circle with centre O and radius 6 cm . If PT is 8 cm then length of OP is

A train of length, 245 metres, takes 20 seconds to cross a 355 metres long bridge. How much time (in seconds) will the train take to cross a 390 metres long platform?

The height of a tower is 50√3 m. The angle of elevation of a tower from a distance 50 m from its feet is

Rahul can complete a work in 18 days and Sonu can complete the same work in 15 days. If both together work for 5 days, then what part of total work is left?

How many 3 ­digit numbers are completely divided by 4.

If 3cos2x - 2sin2x = -0.75 and 0°⩽ x ⩽ 90°, then x = ?

If the difference between the compound interest and the simple interest on a certain sum at the rate of 5% per annum for 2 years is Rs. 20, then the sum is

If 5x - (1/2)(2x -7) = 5.5, then what is the value of x?