Quantitative Aptitude - Arithmetic Ability Questions

A moving train passes a platform 50m long in 14 seconds and a lamp post in 10 seconds. The speed of the train (in km/h) is :

Two cyclists A and B start cycling at 21 km/hr and 24 km/hr towards each other. They meet after 1 hour and 12 minutes. How far (in km) were they from each other when they started?

Each question contains Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.

Quantity I: The Sl on a certain sum of money for 3 years at 5% per annum is Rs 4800. Then the principle is?

Quantity II: The Cl on a certain sum of money for 2 years at 6% per annum is Rs. 3708. Then the principle is?

The largest 5 digit number exactly divisible by 89 is:

Find the unit place digit in 71 x 72 x 73 x 74 x 76 x 77 x 78 x 79.

5 hrs after a goods train passed a station, another train travelling at a speed of 70 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 9 hours. What is the speed of the goods train?

If 2x + 2(4 + 3x) < 2 + 3x > 2x + x/2; then x can take which of the following values?

Triangle PQR is inscribed in the circle whose radius is 14 cm. If PQ is the diameter of the circle and PR = 10 cm, then what is the area of the triangle PQR?