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Problems on Trains - General Aptitude

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.
Q1:

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

ANS:E - Both I and II are necessary to answer

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).