# Aptitude - Time and Work

### Exercise :: Time and Work - 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.
1.

 A and B together can complete a task in 7 days. B alone can do it in 20 days. What part of the work was carried out by A? I. A completed the job alone after A and B worked together for 5 days. II. Part of the work done by A could have been done by B and C together in 6 days.

 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

Explanation:

 B's 1 day's work = 1 20

 (A+ B)'s 1 day's work = 1 7

 I. (A + B)'s 5 day's work = 5 7

 Remaining work = 1 - 5 = 2 . 7 7

 2 work was carried by A. 7

II. is irrelevant.

Correct answer is (A).

2.

 How long will Machine Y, working alone, take to produce x candles? I. Machine X produces x candles in 5 minutes. II. Machine X and Machine Y working at the same time produce x candles in 2 minutes.

 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

Explanation:

 I. gives, Machine X produces x candles in 1 min. 5

 II. gives, Machine X and Y produce x candles in 1 min. 2

 From I and II, Y produces x - x = 3x candles in 1 min. 2 5 10

 3x candles are produced by Y in 1 min. 10

 x candles will be produced by Y in 10 x x min = 10 min. 3x 3

Thus, I and II both are necessary to get the answer.

Correct answer is (E).

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