Quantitative Aptitude - Arithmetic Ability Questions

A train 500 m long, running at a uniform speed, passes a station in 35 sec. If the length of the platform is 221 m, the speed of the train in km/hr is

What least number must be added to 1039, so that the sum obtained is completely divisible by 29?

Two taps X and Y can fill a tank in 15 hours and 20 hours respectively. If the two taps are opened at 2 p.m., then at what time (in p.m.) should the tap X be closed to completely fill the tank at exactly 2 a.m.?

A car moves at a speed of 72 km/hr after repairing and moves at the speed of 54 km/hr before repairing. It covers X distance in 6 hours after repairing. How much time (inhours) will it take to cover 3X distance before repairing?

3 brothers divided Rs. 1620 among them in such a way that the share of second is equal to 5/13 of share of other two, combined. What is the share of the second one?

In a computer game, a builder can build a wall in ten hours while a destroyer can demolish such a wall completely in fourteen hours. Both, the builder and the destroyer were initially set to work together on level ground. But after 7 hours the destroyer was taken out. What was the total time (in hrs) taken to build the wall ?

In how many different ways can the letters of the word 'RITUAL' be arranged?

Three circle C1, C2 and C3 with radii r1, r2 and r3 (where r1<r2<r3) are placed as shown in the given figure. What is the value of r2?