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Time and Distance - 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:

How much time did X take to reach the destination?
I.  The ratio between the speed of X and Y is 3 : 4.
 II.  Y takes 36 minutes to reach the same destination.

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

Since ratio of speed of X : Y is 3 : 4, then ratio of time will be 4 : 3.  I. If Y takes 3 min, then X takes 4 min.

II. If Y takes 36 min, then X takes 4 x 36 min = 48 min.
3
Thus, I and II together give the answer.  Correct answer is (E).