Quantitative Aptitude - Arithmetic Ability Questions

A man misses a train by 1 hour if he travels at a speed of 4 kmph. If he had increased his speed to 5 kmph, he would gave still missed the train by 24 minutes. At what speed should he have travelled so that he reached the station exactly on time?

Two trains are moving in the same direction at the speed of 23 km/hr and 77 km/hr. The time taken by faster train to cross a man sitting in the slower train is 40 seconds. What will be the length (in metres) of the faster train?

The surface area of a sphere is 5544 cm2. Find its diameter (in cm).

The total surface area of a hemisphere is 462 sq.cm. Find its diameter (in cm).

A bag contain equal number of 1 rupee, 50 paisa and 25 paisa coins. If the total amount is Rs 105, then how many coins of each type are there?

The sum of a non-zero number and thrice its reciprocal is 52/7. Find the number.

What is the value of sin (–π/3) + cos(–π/6)?

What is the simplified value of (sec4 A – tan2 A) – (tan4 A + sec2 A)?