Quantitative Aptitude for TCS,TPS,TPSC,SSC,IBPS Exam

1.Boats and Streams – Important Questions

1. A boat can travel 36 km downstream in 3 hours and the same distance upstream in 6 hours. What is the speed of the boat in still water?
2. The speed of a boat in still water is 12 km/h and the speed of the current is 3 km/h. How long will it take to travel 36 km downstream?
3. If a boat goes 30 km downstream in 2 hours and returns the same distance in 3 hours, what is the speed of the current?
4. A man rows a boat 15 km downstream in 1.5 hours and returns in 2.5 hours. Find the speed of the current.
5. A boat’s speed in still water is 10 km/h. If it takes 2 hours more to cover a certain distance upstream than downstream, and the distance is 40 km, what is the speed of the current?
6. A boat covers 24 km downstream in 2 hours and the same distance upstream in 4 hours. Find the speed of the boat in still water.
7. The speed of the current is 2 km/h. A boat takes 1 hour to go 10 km downstream. What is the speed of the boat in still water?
8. A boat takes 2 hours to go 20 km downstream and 5 hours to return. What is the speed of the boat in still water?
9. If a boat can travel 60 km downstream in 3 hours and 60 km upstream in 5 hours, find the rate of the stream.
10. A man rows 18 km downstream in 2 hours and 12 km upstream in 3 hours. Find the speed of the man in still water and the speed of the current.
11. A boat moves downstream at 15 km/h and upstream at 9 km/h. What is the speed of the stream?
12. If the speed of a boat in still water is 14 km/h and the speed of the stream is 4 km/h, how much time will the boat take to go 36 km downstream?
13. A boat can row 30 km downstream in 2 hours and the same distance upstream in 5 hours. What is the speed of the stream?
14. A man can row 7.5 km/hr in still water. If the stream is running at 1.5 km/hr, it takes him 1 hour to row to a place and back. How far is the place?
15. A boat covers a certain distance downstream in 1.5 hours and returns in 2.5 hours. If the speed of the stream is 3 km/h, what is the speed of the boat in still water?
16. The downstream speed of a boat is 18 km/h and the upstream speed is 12 km/h. What is the speed of the boat in still water?
17. A motorboat went downstream for 28 km and came back in a total of 5 hours. If the speed of the current is 2 km/h, find the speed of the boat in still water.
18. A boat takes 4 hours to cover 40 km downstream and 5 hours to return upstream. Find the speed of the stream.
19. A boat’s speed in still water is 16 km/h and the speed of the stream is 4 km/h. Find the time taken to travel 48 km downstream.
20. A man rows to a place 48 km distant and back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against it. Find the rate of the stream.

2.Train Problems – Important Questions

1. A train 180 meters long is running at a speed of 60 km/h. How much time will it take to cross a man standing on the platform?
2. A 240-meter-long train crosses a platform 360 meters long in 30 seconds. Find the speed of the train.
3. Two trains, 120 m and 180 m long, are running in opposite directions with speeds of 60 km/h and 90 km/h. In how much time will they cross each other?
4. A train crosses a 200-meter-long bridge in 36 seconds and a man in 20 seconds. Find the length of the train.
5. A train running at 72 km/h crosses a pole in 10 seconds. Find the length of the train.
6. A train 150 meters long passes a platform 300 meters long in 30 seconds. Find the speed of the train in km/h.
7. Two trains are moving in the same direction at 54 km/h and 36 km/h. The faster train crosses the slower train in 1 minute. Find the length of the faster train.
8. A train takes 25 seconds to cross a platform and 15 seconds to cross a pole. If the length of the train is 150 meters, what is the length of the platform?
9. A train is moving at 90 km/h. How long will it take to cross a platform 150 meters long, if the length of the train is 100 meters?
10. Two trains are running in opposite directions at 40 km/h and 60 km/h. Their lengths are 210 m and 150 m respectively. In how much time will they cross each other?
11. A train covers 1 km in 1 minute. How long will it take to pass through a tunnel 500 meters long, if the train is 500 meters long?
12. A train running at 45 km/h takes 30 seconds to cross a man. How long will it take to cross a 225 m long platform?
13. A train 100 m long running at 72 km/h crosses another train 120 m long running in the opposite direction in 6 seconds. Find the speed of the second train.
14. A 400-meter-long train passes a man walking at 4 km/h in the same direction in 48 seconds. Find the speed of the train.
15. A train 350 meters long is running at 54 km/h. How long will it take to cross a man walking at 6 km/h in the opposite direction?
16. A train crosses a 600-meter-long platform in 40 seconds and a pole in 24 seconds. Find the length and speed of the train.
17. Two trains 150 m and 120 m long are running in the same direction at 60 km/h and 42 km/h. How long will the faster train take to overtake the slower train?
18. A train moving at 108 km/h crosses another train of equal length in 12 seconds in the opposite direction. Find the length of each train.
19. A train passes two persons walking in the same direction at speeds of 3 km/h and 5 km/h respectively in 30 seconds and 20 seconds. Find the speed of the train.
20. A train running at 90 km/h passes a pole in 18 seconds. How much time will it take to cross a platform of 240 meters?