Direction

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? I. The train crosses a tree in 13 seconds. II. The train crosses a platform of length 250 metres in 27 seconds. III. 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. refrtf
Answer and Explanation
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 13x. x II gives 27 = l + 250 x 13x + 250 = 27 x x = 125 m/sec. 7 Thus I and II give the speed of the train. The correct answer is (A.)
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.

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 and Explanation
Answer:E
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) sec. (u + v) Now, b = 180, u + v = 150 x 5 m/sec = 125 m/sec. 18 3 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.

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 and Explanation
Answer:E
Explanation: Time taken by train to cross a man = Length of train Speed = l ....(i) Speed of train 9 Time taken by train to cross a platform = (Length of train + Length of platform) Speed = l + 240 ....(ii) Speed of train 24 From (i) and (ii), we get l = l + 240 . 9 24 Thus, l can be obtained. So both I and II are necessary to get the answer. The correct answer is (E).