Q1. A train travelling at 48 km/hr crosses another train, having half its length and travelling in opposite direction at 42 km/hr in 12 seconds. It also passed a railway platform in 45 seconds. The length of the rail platform is
(a) 200 m
(b) 300 m
(c) 350 m
(d) 400 m
(e) 450m
Q2. A train 75 metres long overtook a person who was walking at the rate of 6 km an hour in the same direction and passed him in 15/2 seconds. Subsequently it overtook a second person walking in same direction and passed him in 27/4 seconds. At what rate was the second person travelling?
(a) 1 km/hr
(b) 2 km/hr
(c) 3 km/hr
(d) 4 km/hr
(e) 6 km/hr
Q3. A train crosses a platform in 30 seconds and a pole in 18 sec. If speed of train is 45 km/hr, then find the length of platform.
(a) 200 m
(b) 100 m
(c) 150 m
(d) 125 m
(e) 135 m
Q4. A train leaves station X at 5 a.m. and reaches station Y at 9 a.m. Another train leaves station Y at 7 a.m. and reaches station X at 10 : 30 a.m. At what time do the two trains cross each other?
(a) 7 : 36 am
(b) 7 : 56 am
(c) 8 : 36 am
(d) 8 : 56 am
(e) None of these
Q5. A train travels a distance of 600 km at a constant speed. If the speed of the train is increased by 5 km/hr, the journey would take 4 hrs. less. Find the speed of the train.
(a) 100 km/hr
(b) 25 km/hr
(c) 50 km/hr
(d) Cannot be determined
(e) None of these
Q6. Sonu covers a distance of 90 km in 5 hours. He covers some part of distance by cycle at the speed of 15 km/hr and rest part covers by bus running at a speed of 20 km/hr. Find what distance he cover by cycle ?
(a) 56 km
(b) 36 km
(c) 54 km
(d) 30 km
(e) 45 km
Q7. A 180 m long train crosses another 270 m long train running in the opposite direction in 10.8 seconds. If the shorter train crosses a pole in 12 seconds, what is the speed of longer train?
(a) 98 km/hr
(b) 96 km/hr
(c) 90 km/hr
(d) 88 km/hr
(e) 74 km/hr
Q8. A thief who has got away on a cycle and is cycling at 25 km per hour. A motorist started to chase him after 12 minutes. At what speed must the motorist travel in order to overtake the cyclist just as he reaches the railway station, which is 20 km away?
(a) 97/3 km per hour
(b) 133/4km per hour
(c) 100/3km per hour
(d) 129/4km per hour
(e) 149/4km per hour
Q9. Ram and Shyam are travelling from point A to B, which are 60 km apart. Travelling at a certain speed Ram takes one hour more than Shyam to reach point B. If Ram doubles his speed he will take 30 minutes less than Shyam to reach point B. At what speed was Ram driving from point A to B initially?
(a) 15 kmph
(b) 35 kmph
(c) 30 kmph
(d) 25 kmph
(e) 20 kmph
Q10. The speeds of scooter, car and train are in the ratio of 1 : 4 : 16. If all of them cover equal distance, then the ratio of time taken to the speed for each of the vehicle is
(a) 256 : 16 : 1
(b) 1 : 4 : 16
(c) 16 : 4 : 1
(d) 16 : 1 : 4
(e) None of these
Q11. Two men are standing on opposite ends of a bridge of 1200 metres long. If they walk towards each other at the rate of 5m/minute and 10m/minute respectively, in how much time will they meet each other?
(a) 60 minutes
(b) 80 minute
(c) 85 minute
(d) 90 minute
(e) 70 minute
Q12. Two trains A and B are at a distance of x km and start to move towards each other at a speed of 40 km/hr and 30 km/hr. such that in first hour A moves but B does not move and in second hour B moves but A does not move and this process continues. Find x if they meet after 21/2 hours.
(a) 180 km
(b) 360 km
(c) 320 km
(d) 280 km
(e) 370 km
Directions (13-15): What will come in place of the question mark (?) in the following number series?
Q13. 7, 20, 46, 98, 202, (?)
(a) 420
(b) 410
(c) 310
(d) 320
(e) 220
Q14. 210, 209, 213, 186, 202, (?)
(a) 138
(b) 77
(c) 177
(d) 327
(e) 227
Q15. 27, 38, 71, 126, 203, (?)
(a) 212
(b) 202
(c) 301
(d) 312
(e) 302
SOLUTIONS
1.D
2.B
3.C
4.B
5.B
6.D
7.B
8.C
9.E
10.A
11.B
12.E
13.B
14.B
15.E
(a) 200 m
(b) 300 m
(c) 350 m
(d) 400 m
(e) 450m
Q2. A train 75 metres long overtook a person who was walking at the rate of 6 km an hour in the same direction and passed him in 15/2 seconds. Subsequently it overtook a second person walking in same direction and passed him in 27/4 seconds. At what rate was the second person travelling?
(a) 1 km/hr
(b) 2 km/hr
(c) 3 km/hr
(d) 4 km/hr
(e) 6 km/hr
Q3. A train crosses a platform in 30 seconds and a pole in 18 sec. If speed of train is 45 km/hr, then find the length of platform.
(a) 200 m
(b) 100 m
(c) 150 m
(d) 125 m
(e) 135 m
Q4. A train leaves station X at 5 a.m. and reaches station Y at 9 a.m. Another train leaves station Y at 7 a.m. and reaches station X at 10 : 30 a.m. At what time do the two trains cross each other?
(a) 7 : 36 am
(b) 7 : 56 am
(c) 8 : 36 am
(d) 8 : 56 am
(e) None of these
Q5. A train travels a distance of 600 km at a constant speed. If the speed of the train is increased by 5 km/hr, the journey would take 4 hrs. less. Find the speed of the train.
(a) 100 km/hr
(b) 25 km/hr
(c) 50 km/hr
(d) Cannot be determined
(e) None of these
Q6. Sonu covers a distance of 90 km in 5 hours. He covers some part of distance by cycle at the speed of 15 km/hr and rest part covers by bus running at a speed of 20 km/hr. Find what distance he cover by cycle ?
(a) 56 km
(b) 36 km
(c) 54 km
(d) 30 km
(e) 45 km
Q7. A 180 m long train crosses another 270 m long train running in the opposite direction in 10.8 seconds. If the shorter train crosses a pole in 12 seconds, what is the speed of longer train?
(a) 98 km/hr
(b) 96 km/hr
(c) 90 km/hr
(d) 88 km/hr
(e) 74 km/hr
Q8. A thief who has got away on a cycle and is cycling at 25 km per hour. A motorist started to chase him after 12 minutes. At what speed must the motorist travel in order to overtake the cyclist just as he reaches the railway station, which is 20 km away?
(a) 97/3 km per hour
(b) 133/4km per hour
(c) 100/3km per hour
(d) 129/4km per hour
(e) 149/4km per hour
Q9. Ram and Shyam are travelling from point A to B, which are 60 km apart. Travelling at a certain speed Ram takes one hour more than Shyam to reach point B. If Ram doubles his speed he will take 30 minutes less than Shyam to reach point B. At what speed was Ram driving from point A to B initially?
(a) 15 kmph
(b) 35 kmph
(c) 30 kmph
(d) 25 kmph
(e) 20 kmph
Q10. The speeds of scooter, car and train are in the ratio of 1 : 4 : 16. If all of them cover equal distance, then the ratio of time taken to the speed for each of the vehicle is
(a) 256 : 16 : 1
(b) 1 : 4 : 16
(c) 16 : 4 : 1
(d) 16 : 1 : 4
(e) None of these
Q11. Two men are standing on opposite ends of a bridge of 1200 metres long. If they walk towards each other at the rate of 5m/minute and 10m/minute respectively, in how much time will they meet each other?
(a) 60 minutes
(b) 80 minute
(c) 85 minute
(d) 90 minute
(e) 70 minute
Q12. Two trains A and B are at a distance of x km and start to move towards each other at a speed of 40 km/hr and 30 km/hr. such that in first hour A moves but B does not move and in second hour B moves but A does not move and this process continues. Find x if they meet after 21/2 hours.
(a) 180 km
(b) 360 km
(c) 320 km
(d) 280 km
(e) 370 km
Directions (13-15): What will come in place of the question mark (?) in the following number series?
Q13. 7, 20, 46, 98, 202, (?)
(a) 420
(b) 410
(c) 310
(d) 320
(e) 220
Q14. 210, 209, 213, 186, 202, (?)
(a) 138
(b) 77
(c) 177
(d) 327
(e) 227
Q15. 27, 38, 71, 126, 203, (?)
(a) 212
(b) 202
(c) 301
(d) 312
(e) 302
SOLUTIONS
1.D
2.B
3.C
4.B
5.B
6.D
7.B
8.C
9.E
10.A
11.B
12.E
13.B
14.B
15.E
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