Problems on Train Questions for Bank PO and Clerk Exam

Problems on Train are important from the perspective of several Banking Examinations, such as the IBPS RRB, IBPS PO, IBPS Clerk, SBI PO, SBI Junior Associate, and LIC Assistant. This subject includes questions posed in a variety of formats, such as train crossing a stationary object like a pole or a man, train crossing a stationary object of a specified length like a platform or bridge, and train moving in the same direction as or opposite direction of another.

To answer these questions successfully, you need to have a solid understanding of subjects like speed, relative speed, time, distance, and the formulas used to calculate them.

Problems on Train Questions

One of the most important topic for bank and insurance examinations is Problems on Train Questions. We are providing you with Train Questions asked in the previous Bank Exams, Solved Questions, Tricks and Tips to solve questions. Basically, practice is the foundation for solving Questions on trains, the more you practice answering different types of questions, the more familiar you will be with Problems on Trains.

Key Concepts of Profit and Loss 

1. Speed:

• Speed is the distance covered per unit time.

• Units: km/hr (kilometers per hour) or m/s (meters per second).

2. Conversion between km/hr and m/s:

• To convert from km/hr to m/s, multiply by 5 /18

• To convert from m/s to km/hr, multiply by 18/5

3. Relative Speed:

• When two objects move in the same direction, their relative speed is the difference between their speeds. 

Relative Speed = Speed 1 - Speed 2

• When two objects move in opposite directions, their relative speed is the sum of their speeds.

Relative Speed = Speed 1 + Speed 2

 4. Time:

• Time taken to cover a certain distance at a certain speed.

5. Distance:

• Distance covered at a certain speed in a given time.

• Formula: Distance = Speed × Time

6. Length of the Train:

• The length of the train can be found if the train crosses a platform or another train.

• If a train crosses a stationary object like a pole, the distance covered is the length of the train.

• If a train crosses a platform, the distance covered is the length of the train plus the length of the platform.

Problems on Train Formulas

• Distance (m or km)
• Time (sec or hr)
• Speed (m/s) or (km/hr)

Basic conversions

Weightage of Problems on Train Questions in Banking Exams

The weightage of Problems on Trains in Banking Exams can vary from one exam to another. However, understanding the general importance and frequency of these types of questions can help you prepare effectively.

Exam-Specific Insights:

• IBSP RRB PO/Clerk: 1 to 2 questions

• IBPS PO/Clerk: Usually, 1 to 2 questions.

• SBI PO/Clerk: Typically 1 to 2 questions, though it can vary.

• RBI Grade B: Similar pattern, with occasional questions on trains.

• Other Exams (e.g., RRB, NABARD): The pattern is generally consistent, with occasional inclusion of train problems.

1. IBPS PO/Clerk (Institute of Banking Personnel Selection)

• Quantitative Aptitude Section:

• The section usually contains around 35 questions.

• Profit and Loss questions typically account for about 2-5 questions.

• Weightage: Approximately 5-15% of the quantitative section.

2. SBI PO/Clerk (State Bank of India)

• Quantitative Aptitude Section:

• The section generally contains around 35 questions.

• Profit and Loss questions are common, often appearing as 2-5 questions.

• Weightage: Approximately 5-15% of the quantitative section.

While the exact weightage of profit and loss may vary slightly across different banking exams, its consistent appearance makes it an important topic to prepare thoroughly.

Problems on Train Solved Examples

Example 1: Train Crossing a Pole

Problem: A train 150 meters long is moving at a speed of 54 km/hr. How long will it take to cross a pole?

Example 2: Train Crossing a Platform

Problem: A train 200 meters long is moving at a speed of 72 km/hr. It crosses a platform 100 meters long. How long will it take to cross the platform?

Solution:

1. Convert speed to m/s: 72×5/18=20 m/s

2. Total distance to be covered (length of train + length of platform): 

Total Distance = 200+100 = 300 meters

Example 3: Two Trains Crossing Each Other

Problem: Two trains, each 120 meters long, are moving in opposite directions at speeds of 36 km/hr and 54 km/hr. How long will they take to cross each other?

Solution:

1. Convert speeds to m/s: 

Speed of Train 1 = 36×5/18=10 m/sec.

  Speed of Train 2 = 54×5/18=15 m/sec.

1. Relative speed (since they are moving in opposite directions): 

Relative Speed = 10+15 = 25 m/s

2. Total distance to be covered (sum of lengths of both trains): 

Total Distance = 120+120 = 240 meters

3. Time taken to cross each other: 

Example 4: Train Crossing Another Train Moving in the Same Direction

Problem: Two trains, one 150 meters long and the other 100 meters long, are moving in the same direction at speeds of 40 km/hr and 30 km/hr, respectively. How long will it take for the faster train to cross the slower train?

Solution:

1. Convert speeds to m/s: 

Speed of Train 1(faster) = 40×5/18=11.11 m/s 

Speed of Train 2(slower) = 30×5/18=8.33 m/s

2. Relative speed (since they are moving in the same direction): 

Relative Speed = 11.11−8.33 = 2.78 m/s

3. Total distance to be covered (sum of lengths of both trains): 

Total Distance = 150+100 = 250 meters

4. Time taken to cross each other: 

Profit and Loss Solved Questions

1) A sells a bicycle to B at a profit of 20% and B sells it to C at a profit of 25%. If C pays Rs. 5400, what did A pay for it?

a) Rs. 3400 

b) Rs. 3600 

c) Rs. 3800

d) Rs. 4000 

e) None of these 

2)  A shopkeeper sold a watch to P at 30% profit and P sold it to Q at 20% profit. If Q purchased the watch for ₹780, then find the profit amount received by the shopkeeper?

a) 150

b) 120

c) 110

d) 140

e) None of the above

3)  A street vendor purchased 8 apples at ₹15 per apple and 6 apples at ₹10 per apple. If he sold all the apples at ₹18 per apple, then find his profit percent?

a) 40%

b) 50%

c) 33.33%

d) 12.5%

e) None of these

4)  If the cost price is 96% of the selling price, then what is the profit percent?

1) 5.72%

2) 2.8%

3) 3.72%

4) 8.92%

5) None of these

5) Selling price of 50 pineapples is equal to the cost price of 120 pineapples. Find the profit or loss percent. 

50 अनानास का विक्रय मूल्य 120 अनानास के क्रय मूल्य के बराबर है। लाभ या हानि प्रतिशत ज्ञात कीजिये.

(a) 120%

(b) 150%

(c) 110%

(d) 240%

(e) None of these

6) A man bought 75 Kg of rice and added 33.33% impurities to it. He sold the total mixture at a rate of the cost price. Find his profit percent.

(a) 66.67%

(b) 33.33%

(c) 14.28%

(d) 20%

(e) 30%

Answer:(b)

Solution

He sales article at cost price

So overall profit he gets from impurities

He added 33.33% impurities which means he will get an overall 33.33% profit

Hence option b is correct.

7) A man bought 75 Kg of rice and added 40% impurities to it. He sold the mixture at

10% above the cost price. Find his net profit percent. 

(a) 54%

(b) 32%

(c) 27%

(d) 25%

(e) 20%

Answer:(a)

Previous Year Questions Of Problems in Train In Banking Exams

1. A train 120 meters long passes a man running in the same direction at 6 km/hr in 10 seconds. Find the speed of the train.

2. Two trains, each 150 meters long, are moving in opposite directions at speeds of 45 km/hr and 60 km/hr. How long will they take to cross each other?

3. A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

4. Two trains of lengths 100 meters and 150 meters are moving in the same direction at speeds of 30 km/hr and 50 km/hr, respectively. How long will it take for the faster train to pass the slower train completely?

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