Velaivetti provides you the Problems on Trains aptitude questions with answers with explanation. This is the First part on this topic. We also attached the pdf file at the end of this post for this aptitude.

**Problems on Trains Aptitude Questions with Answers – Part 1**

**Type 1**

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

• Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.

• Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.

• Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.

• Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.

• Give answer(E) if the data in both Statements I and II together are necessary to answer the question.

1) What is the speed of the train whose length is 210 metres?

I. The train crosses another train (Howrah Express/12869) of 300 metres length running in opposite direction in 10 seconds.

II. The train crosses another train (Howrah Express/12869) running in the same direction at the speed of 60 km/hr in 30 seconds.

A . I alone sufficient while II alone not sufficient to answer

B . II alone sufficient while I alone not sufficient to answer

C . Either I or II alone sufficient to answer

D. Both I and II are not sufficient to answer

E. Both I and II are necessary to answer

Answer: Option E

Explanation:

Time taken to cross the train, running in opposite directions = [(l1 + l2)/ (u + v)] sec. => 10 = [ (210 + 300)/ (u + v) ]

=>u + v = 51.

Time taken to cross the train, running in same direction = [ (l1 + l2)/(u – v)] sec.

=> 30 =[ (210 + 300)/ (u – 60 x (5/18)) ]

=> u = [ ( 17 +(50/3) ] m/sec.

Thus, u and v can be obtained.

Therefore, Correct answer is (E).

2) What is the length of a running train crossing another 180 metre long train running in the opposite direction?

I. The relative speed of the two trains was 150 kmph.

II. The trains took 9 seconds to cross each other.

- I alone sufficient while II alone not sufficient to answer
- II alone sufficient while I alone not sufficient to answer
- Either I or II alone sufficient to answer
- Both I and II are not sufficient to answer
- Both I and II are necessary to answer

Answer: Option 5

Explanation:

Let the two trains of length a metres and b metres be moving in opposite directions at u m/s and v m/s.

Time taken to cross each other = [ (a + b)/ (u + v) ] sec.

Now, b = 180, u + v = [ 150 x (5/18) ] m/sec = (125/3 ) m/sec. => 9 = [ (a + 180)/ (125/3) ]

=> a = (375 – 180) = 195 m.

3) What is the length of a running train?

I. The train crosses a man in 9 seconds.

II. The train crosses a 240 metre long platform in 24 seconds.

- I alone sufficient while II alone not sufficient to answer
- II alone sufficient while I alone not sufficient to answer
- Either I or II alone sufficient to answer
- Both I and II are not sufficient to answer
- Both I and II are necessary to answer

Answer: Option 5

Explanation:

Time taken by train to cross a min = ( Length of train/ Speed of train )=> Speed = (l/9)….(i)

Time taken by train to cross a platform =[ (Length of train +Length of platform)/ Speed of train ] =>Speed = (l + 240)/24 ….(ii)

From (i) and (ii), we get l/9 = [ (l + 240)/24 ].

Thus, l can be obtained. So both I and II are necessary to get the answer.

Therefore, The correct answer is (5).

**Type 2**

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

1) What is the speed of the train?

- The train crosses a signal pole in 18 seconds.
- The train crosses a platform of equal length in 36 seconds.
- Length of the train is 330 metres.

A. I and II only

B. II and III only

C. I and III only

D. III and either I or II only E. Any two of the three

Answer: Option D

Explanation:

Let the speed of the train be x metres/sec.

Time taken to cross a signal pole =( Length of the train / Speed of the train )

Time taken to cross a platform =[ (Length of the train + Length of the Platform)/ Speed of the train]

Length of train = 330 m.

I and III give, 18 =(330/x) => x =( 330/18) m/sec = ( 55/3 ) m/sec.

II and III give, 36 = [ (2 x 330)/x ] => x = (660/36) m/sec =( 55/3 ) m/sec. Therefore, Correct answer is (D).

2) What is the speed of the train?

- The train crosses a tree in 13 seconds.
- The train crosses a platform of length 250 metres in 27 seconds.
- The train crosses another train running in the same direction in 32 seconds.

A. I and II only

B. II and III only

C. I and III only

D. Any two of the three

E. None of these

Answer: Option A

Explanation:

Let the speed of the train be x metres/sec.

Time taken to cross a tree =(Length of the train/ Speed of the train)

Time taken to cross a platform =[ (Length of the train + Length of the Platform)/ Speed of the train]

I gives, 13 =(l/x) => 13x.

II gives 27 =[ (l + 250)/x ]

=>[ (13x + 250)/x ]= 27

=> x =( 125/7 ) m/sec.

Thus I and II give the speed of the train. Therefore, The correct answer is (A.)

**Download Problems on Trains Aptitude PDF**

**Also Download Previous Parts of Problems on Trains Aptitude**

Problems on Trains aptitude Questions with Answers – Part 2

Problems on trains aptitude Questions with answers – Part 3

Problems on Trains aptitude Questions with Answers – Part 4