Quantitative Aptitude - Arithmetic Ability Questions

A train is moving with uniform speed crosses two tunnels of lengths 270 metres and 450 metres in 12 seconds and 15 seconds respectively. What is the speed (in km/hr) of the train?

A missile travels at 1278 km/h. How many metres does it travel in one second?

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?

If Cos θ = 5/13, then Cosec θ = ?

If the angle of elevation of the sun decreases from 45° to 30°, then the length of the shadow of a pillar increases by 60m. The height of the pillar is

For triangle PQR, what is the equation of altitude PS if co­ordinates of P, Q and R are (5,1), (0,­4) and (­2,3) respectively?

The value of x for which the expressions 5x + 17 and 17x - 5 become equal is _____.

If 2x+29x = 4, then the value of 27x3+127x3