Direction: Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to study the questions and decide the data in which of the statements are sufficient to answer the questions.
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In how many days can a work be completed by A, B and C together?
I. A and B together can complete the work in 6 days.II. B and C together can complete the work in 3 3 days 4 III. A and C together can complete the work in 3 1 days 3
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- Only I
- Only II
- Only III
- Anyone of the three
- Information in all the three statements is necessary to answer the question.
Correct Option: E
From above given all statements , we have
I. A + B = 6 days.
| II. B + C = | 15 | days |
| 4 |
| III. A + C = | 10 | days |
| 3 |
Adding all ( I ) , ( II ) and ( III ) , we get
| 2 ( A + B + C ) = 6 + | 15 | + | 10 |
| 4 | 3 |
| 2 ( A + B + C ) = | 72 + 45 + 40 | = | 157 |
| 12 | 12 |
| ( A + B + C ) = | 157 | = 6 | 13 | days |
| 24 | 24 |
Hence answer will be option ( E ) .
