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Boats and Streams - 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 speed of the boat in still water?  I. It takes 2 hours to cover the distance between A and B downstream.  II. It takes 4 hours to cover the distance between A and B upstream.

A I alone sufficient while II alone not sufficient to answer

B II alone sufficient while I alone not sufficient to answer

C II alone sufficient while I alone not sufficient to answer

D Both I and II are not sufficient to answer

E Both I and II are necessary to answer

ANS:D - Both I and II are not sufficient to answer

Let AB = x km.

 I. Speed downstream = x km/hr
2
II. Speed upstream = x km/hr.
4
Speed of boat in still water = 1 x + x km/hr.
2 2 4
Thus, I and II both even do not give the answer.  Correct answer is (D).