Hard Level Trains Quiz - Banking Quantitative Aptitude | Concept of Maths

Question 1

1. Two trains of equal length traveling in opposite directions pass a stationary pole in \( 18 \text{ s} \) and \( 12 \text{ s} \) respectively. How long will it take for them to completely cross each other?

A) \( 14.4 \text{ s} \)

B) \( 15 \text{ s} \)

C) \( 16.2 \text{ s} \)

D) \( 18.5 \text{ s} \)

Answer

Correct Answer: A

Question 2

2. Train A crosses stationary Train B in \( 50 \text{ s} \) and a pole in \( 20 \text{ s} \). If the length of Train A is \( 240 \text{ m} \), what is the length of Train B?

A) \( 320 \text{ m} \)

B) \( 360 \text{ m} \)

C) \( 400 \text{ m} \)

D) \( 280 \text{ m} \)

Answer

Correct Answer: B

Question 3

3. Two trains start simultaneously from stations P and Q towards each other at speeds of \( 50 \text{ km/h} \) and \( 40 \text{ km/h} \) respectively. When they meet, it is found that one train has traveled \( 100 \text{ km} \) more than the other. What is the total distance between P and Q?

A) \( 800 \text{ km} \)

B) \( 850 \text{ km} \)

C) \( 900 \text{ km} \)

D) \( 950 \text{ km} \)

Answer

Correct Answer: C

Question 4

4. Train A (length \( 120 \text{ m} \)) and Train B (length \( 80 \text{ m} \)) take \( 50 \text{ s} \) to cross each other while running in the same direction, and \( 10 \text{ s} \) when running in opposite directions. What is the speed of the faster train?

Question 5

5. A train overtakes two persons walking in the same direction as the train at \( 2 \text{ km/h} \) and \( 4 \text{ km/h} \) in \( 9 \text{ s} \) and \( 10 \text{ s} \) respectively. What is the length of the train?

A) \( 45 \text{ m} \)

B) \( 50 \text{ m} \)

C) \( 60 \text{ m} \)

D) \( 72 \text{ m} \)

Answer

Correct Answer: B

Question 6

6. Train X leaves Delhi at 4:00 PM and reaches Meerut at 5:00 PM. Train Y leaves Meerut at 4:00 PM and reaches Delhi at 5:30 PM. At what exact time do they cross each other?

A) 4:30 PM

B) 4:36 PM

C) 4:45 PM

D) 4:48 PM

Answer

Correct Answer: B

Question 7

7. A \( 300 \text{ m} \) long train running at \( 72 \text{ km/h} \) passes a man walking in the opposite direction at \( 18 \text{ km/h} \). How long does it take for the train to completely pass him?

A) \( 10 \text{ s} \)

B) \( 12 \text{ s} \)

C) \( 15 \text{ s} \)

D) \( 18 \text{ s} \)

Answer

Correct Answer: B

Question 8

8. The driver of a goods train running at \( 40 \text{ km/h} \) observes that a passenger train running at \( 60 \text{ km/h} \) in the same direction completely overtakes him in \( 18 \text{ s} \). What is the length of the passenger train?

A) \( 80 \text{ m} \)

B) \( 100 \text{ m} \)

C) \( 120 \text{ m} \)

D) \( 150 \text{ m} \)

Answer

Correct Answer: B

Question 9

9. A train passes two bridges of lengths \( 800 \text{ m} \) and \( 400 \text{ m} \) in \( 100 \text{ s} \) and \( 60 \text{ s} \) respectively. What is the length of the train?

A) \( 150 \text{ m} \)

B) \( 200 \text{ m} \)

C) \( 250 \text{ m} \)

D) \( 300 \text{ m} \)

Answer

Correct Answer: B

Question 10

10. Train A traveling at \( 63 \text{ km/h} \) takes \( 27 \text{ s} \) to completely cross Train B which is traveling in the opposite direction at \( 27 \text{ km/h} \). If the length of Train B is exactly half of Train A, find the length of Train A.

A) \( 300 \text{ m} \)

B) \( 350 \text{ m} \)

C) \( 400 \text{ m} \)

D) \( 450 \text{ m} \)

Answer

Correct Answer: D

Question 11

11. Two trains of equal length (\( 120 \text{ m} \) each) take \( 10 \text{ s} \) and \( 15 \text{ s} \) respectively to cross a telegraph post. In what time will they cross each other if traveling in opposite directions?

A) \( 10 \text{ s} \)

B) \( 12 \text{ s} \)

C) \( 14 \text{ s} \)

D) \( 15 \text{ s} \)

Answer

Correct Answer: B

Question 12

12. A train reduces its speed to \( 3/4 \) of its normal speed and consequently reaches its destination \( 30 \text{ minutes} \) late. Find the normal time taken by the train to complete the journey.

A) \( 60 \text{ min} \)

B) \( 75 \text{ min} \)

C) \( 90 \text{ min} \)

D) \( 120 \text{ min} \)

Answer

Correct Answer: C

Question 13

13. Train A crosses a stationary Train B in \( 35 \text{ s} \) and a pole in \( 14 \text{ s} \). If the length of Train A is \( 280 \text{ m} \), what is the length of Train B?

A) \( 380 \text{ m} \)

B) \( 400 \text{ m} \)

C) \( 420 \text{ m} \)

D) \( 450 \text{ m} \)

Answer

Correct Answer: C

Question 14

14. Two stations, P and Q, are \( 110 \text{ km} \) apart on a straight track. One train starts from P at 7:00 AM and travels towards Q at \( 20 \text{ km/h} \). Another train starts from Q at 8:00 AM and travels towards P at \( 25 \text{ km/h} \). At what time will they meet?

A) 9:30 AM

B) 10:00 AM

C) 10:30 AM

D) 11:00 AM

Answer

Correct Answer: B

Question 15

15. A \( 150 \text{ m} \) long train crosses a \( 500 \text{ m} \) long bridge in \( 30 \text{ s} \). How much time will it take for the train to completely cross a \( 370 \text{ m} \) long platform?

A) \( 20 \text{ s} \)

B) \( 22 \text{ s} \)

C) \( 24 \text{ s} \)

D) \( 28 \text{ s} \)

Answer

Correct Answer: C

Question 16

16. Train A runs at \( 54 \text{ km/h} \) and crosses a platform equal to its own length in \( 36 \text{ s} \). Find the length of the train.

A) \( 250 \text{ m} \)

B) \( 270 \text{ m} \)

C) \( 300 \text{ m} \)

D) \( 320 \text{ m} \)

Answer

Correct Answer: B

Question 17

17. The distance between two stations is \( 342 \text{ km} \). Two trains start simultaneously from these stations on parallel tracks to cross each other. The speed of one train is greater than the other by \( 8 \text{ km/h} \). If they meet after \( 3 \text{ hours} \), what is the speed of the faster train?

A) \( 53 \text{ km/h} \)

B) \( 57 \text{ km/h} \)

C) \( 61 \text{ km/h} \)

D) \( 65 \text{ km/h} \)

Answer

Correct Answer: C

Question 18

18. A train takes \( 10 \text{ s} \) to cross a man walking at \( 5 \text{ km/h} \) in the same direction. It takes \( 9 \text{ s} \) to cross another man walking at \( 5 \text{ km/h} \) in the opposite direction. Find the length of the train.

A) \( 200 \text{ m} \)

B) \( 220 \text{ m} \)

C) \( 250 \text{ m} \)

D) \( 280 \text{ m} \)

Answer

Correct Answer: C

Question 19

19. Two trains \( 130 \text{ m} \) and \( 110 \text{ m} \) long are going in the same direction. The faster train takes exactly \( 60 \text{ s} \) to completely pass the other. If they are moving in opposite directions, they pass each other completely in \( 3 \text{ s} \). Find the speed of the faster train in km/h.

A) \( 130.8 \text{ km/h} \)

B) \( 142.4 \text{ km/h} \)

C) \( 151.2 \text{ km/h} \)

D) \( 160.5 \text{ km/h} \)

Answer

Correct Answer: C

Question 20

20. Train A starts from station X to Y at 9:00 AM and takes 4 hours. Train B starts from station Y to X at 10:00 AM and takes 6 hours. At what time will they cross each other?

A) 11:30 AM

B) 11:40 AM

C) 11:48 AM

D) 12:00 PM

Answer

Correct Answer: C

Accepted Answer

Correct Answer: B

Mastering Trains: Advanced Quantitative Aptitude Quiz | Concept of Maths

Mastering Trains: Advanced Quantitative Aptitude Quiz | Concept of Maths

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5. A train overtakes two persons walking in the same direction as the train at \( 2 \text{ km/h} \) and \( 4 \text{ km/h} \) in \( 9 \text{ s} \) and \( 10 \text{ s} \) respectively. What is the length of the train?

6. Train X leaves Delhi at 4:00 PM and reaches Meerut at 5:00 PM. Train Y leaves Meerut at 4:00 PM and reaches Delhi at 5:30 PM. At what exact time do they cross each other?

7. A \( 300 \text{ m} \) long train running at \( 72 \text{ km/h} \) passes a man walking in the opposite direction at \( 18 \text{ km/h} \). How long does it take for the train to completely pass him?

8. The driver of a goods train running at \( 40 \text{ km/h} \) observes that a passenger train running at \( 60 \text{ km/h} \) in the same direction completely overtakes him in \( 18 \text{ s} \). What is the length of the passenger train?

9. A train passes two bridges of lengths \( 800 \text{ m} \) and \( 400 \text{ m} \) in \( 100 \text{ s} \) and \( 60 \text{ s} \) respectively. What is the length of the train?

10. Train A traveling at \( 63 \text{ km/h} \) takes \( 27 \text{ s} \) to completely cross Train B which is traveling in the opposite direction at \( 27 \text{ km/h} \). If the length of Train B is exactly half of Train A, find the length of Train A.

11. Two trains of equal length (\( 120 \text{ m} \) each) take \( 10 \text{ s} \) and \( 15 \text{ s} \) respectively to cross a telegraph post. In what time will they cross each other if traveling in opposite directions?

12. A train reduces its speed to \( 3/4 \) of its normal speed and consequently reaches its destination \( 30 \text{ minutes} \) late. Find the normal time taken by the train to complete the journey.

13. Train A crosses a stationary Train B in \( 35 \text{ s} \) and a pole in \( 14 \text{ s} \). If the length of Train A is \( 280 \text{ m} \), what is the length of Train B?

14. Two stations, P and Q, are \( 110 \text{ km} \) apart on a straight track. One train starts from P at 7:00 AM and travels towards Q at \( 20 \text{ km/h} \). Another train starts from Q at 8:00 AM and travels towards P at \( 25 \text{ km/h} \). At what time will they meet?

15. A \( 150 \text{ m} \) long train crosses a \( 500 \text{ m} \) long bridge in \( 30 \text{ s} \). How much time will it take for the train to completely cross a \( 370 \text{ m} \) long platform?

16. Train A runs at \( 54 \text{ km/h} \) and crosses a platform equal to its own length in \( 36 \text{ s} \). Find the length of the train.

18. A train takes \( 10 \text{ s} \) to cross a man walking at \( 5 \text{ km/h} \) in the same direction. It takes \( 9 \text{ s} \) to cross another man walking at \( 5 \text{ km/h} \) in the opposite direction. Find the length of the train.

20. Train A starts from station X to Y at 9:00 AM and takes 4 hours. Train B starts from station Y to X at 10:00 AM and takes 6 hours. At what time will they cross each other?

Hard Level Trains Quiz - Banking Quantitative Aptitude | Concept of Maths

1. Two trains of equal length traveling in opposite directions pass a stationary pole in \( 18 \text{ s} \) and \( 12 \text{ s} \) respectively. How long will it take for them to completely cross each other?

2. Train A crosses stationary Train B in \( 50 \text{ s} \) and a pole in \( 20 \text{ s} \). If the length of Train A is \( 240 \text{ m} \), what is the length of Train B?

3. Two trains start simultaneously from stations P and Q towards each other at speeds of \( 50 \text{ km/h} \) and \( 40 \text{ km/h} \) respectively. When they meet, it is found that one train has traveled \( 100 \text{ km} \) more than the other. What is the total distance between P and Q?

4. Train A (length \( 120 \text{ m} \)) and Train B (length \( 80 \text{ m} \)) take \( 50 \text{ s} \) to cross each other while running in the same direction, and \( 10 \text{ s} \) when running in opposite directions. What is the speed of the faster train?

Mastering Trains: Advanced Quantitative Aptitude Quiz | Concept of Maths

Mastering Trains: Advanced Quantitative Aptitude Quiz | Concept of Maths

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5. A train overtakes two persons walking in the same direction as the train at \( 2 \text{ km/h} \) and \( 4 \text{ km/h} \) in \( 9 \text{ s} \) and \( 10 \text{ s} \) respectively. What is the length of the train?

6. Train X leaves Delhi at 4:00 PM and reaches Meerut at 5:00 PM. Train Y leaves Meerut at 4:00 PM and reaches Delhi at 5:30 PM. At what exact time do they cross each other?

7. A \( 300 \text{ m} \) long train running at \( 72 \text{ km/h} \) passes a man walking in the opposite direction at \( 18 \text{ km/h} \). How long does it take for the train to completely pass him?

8. The driver of a goods train running at \( 40 \text{ km/h} \) observes that a passenger train running at \( 60 \text{ km/h} \) in the same direction completely overtakes him in \( 18 \text{ s} \). What is the length of the passenger train?

9. A train passes two bridges of lengths \( 800 \text{ m} \) and \( 400 \text{ m} \) in \( 100 \text{ s} \) and \( 60 \text{ s} \) respectively. What is the length of the train?

10. Train A traveling at \( 63 \text{ km/h} \) takes \( 27 \text{ s} \) to completely cross Train B which is traveling in the opposite direction at \( 27 \text{ km/h} \). If the length of Train B is exactly half of Train A, find the length of Train A.

11. Two trains of equal length (\( 120 \text{ m} \) each) take \( 10 \text{ s} \) and \( 15 \text{ s} \) respectively to cross a telegraph post. In what time will they cross each other if traveling in opposite directions?

12. A train reduces its speed to \( 3/4 \) of its normal speed and consequently reaches its destination \( 30 \text{ minutes} \) late. Find the normal time taken by the train to complete the journey.

13. Train A crosses a stationary Train B in \( 35 \text{ s} \) and a pole in \( 14 \text{ s} \). If the length of Train A is \( 280 \text{ m} \), what is the length of Train B?

14. Two stations, P and Q, are \( 110 \text{ km} \) apart on a straight track. One train starts from P at 7:00 AM and travels towards Q at \( 20 \text{ km/h} \). Another train starts from Q at 8:00 AM and travels towards P at \( 25 \text{ km/h} \). At what time will they meet?

15. A \( 150 \text{ m} \) long train crosses a \( 500 \text{ m} \) long bridge in \( 30 \text{ s} \). How much time will it take for the train to completely cross a \( 370 \text{ m} \) long platform?

16. Train A runs at \( 54 \text{ km/h} \) and crosses a platform equal to its own length in \( 36 \text{ s} \). Find the length of the train.

18. A train takes \( 10 \text{ s} \) to cross a man walking at \( 5 \text{ km/h} \) in the same direction. It takes \( 9 \text{ s} \) to cross another man walking at \( 5 \text{ km/h} \) in the opposite direction. Find the length of the train.

20. Train A starts from station X to Y at 9:00 AM and takes 4 hours. Train B starts from station Y to X at 10:00 AM and takes 6 hours. At what time will they cross each other?