Boats and Streams – Data Sufficiency 1
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.
Answer: Option E
Explanation:
I. Speed of the current = 1 km/hr.
II. PQ = 4 km.
Let the speed of the boat in still water be x km/hr. Then,
| 4 | + | 4 | = 3. This gives x. |
| (x + 1) | (x – 1) |
Correct answer is (E).
| 2. |
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Answer: Option D
Explanation:
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).
| 3. |
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Answer: Option E
Explanation:
| I. Speed upstream = | 48 | km/hr = 8 km/hr. |
| 6 |
| II. Speed downstream = | 48 | km/hr = 12 km/hr. |
| 4 |
| Speed of the boat = | 1 | (8 + 12) km/hr = 10 km/hr. |
| 2 |
Thus, I and II together give the answer.
Correct answer is (E).