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Question

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

What is the speed of a boat in still water?

Statement I:  The boat covers a distance of 120km in 5 hours while running upstream.

Statement II:  It covers the same distance in 3 hours while running downstream. 

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. Correct Answer Incorrect 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. Correct Answer Incorrect Answer
C If the data either in statement I alone or statement II alone are sufficient to answer the question. Correct Answer Incorrect Answer
D If the data in both statement I and II together are not sufficient to answer the question. Correct Answer Incorrect Answer
E If the data in both statement I and II together are necessary to answer the question. Correct Answer Incorrect Answer

Solution

From I and II Let the speed of the boat be x km/hr Speed of the stream be y km/hr ∴ Speed of upstream  x – y = 120/5 = 24……(i) Speed downstream x + y = 120/3 = 40               …….(ii) From eq. (i) and (ii), we get x = 32 km/hr and y = 8 km/hr

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