Aptitude - Time and Work - Discussion
Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.
In how many days can 10 women finish a work? | |||||
I. | 10 men can complete the work in 6 days. | ||||
II. |
| ||||
III. | If 10 men work for 3 days and thereafter 10 women replace them, the remaining work in completed in 4 days. | ||||
I. (10 x 6) men can complete the work in 1 day.
 1 man's 1 day's work = |
1 |
| 60 |
| II. |  |
10 x | 24 |  |
men + | |
10 x | 24 | |
women can complete the work in 1 day. |
| 7 | 7 |
| |
|
240 | |
men's 1 day work + | |
240 | |
women's 1 day work = 1. |
| 7 | 7 |
| |
|
240 | x | 1 | |
+ | |
240 | |
women's 1 day's work = 1. |
| 7 | 60 | 7 |
| |
|
240 | |
women's 1 day's work = | |
1 - | 4 | |
= | 3 |
| 7 | 7 | 7 |
| 10 women's 1 day's work = |
|
3 | x | 7 | x 10 | |
= | 1 |
| 7 | 240 | 8 |
So, 10 women can finish the work in 8 days.
III. (10 men's work for 3 days) + (10 women's work for 4 days) = 1
(10 x 3) men's 1 day's work + (10 x 4) women's 1 day's work = 1
30 men's 1 day's work + 40 women's 1 day's work = 1
Thus, I and III will give us the answer.
And, II and III will give us the answer.
Correct answer is (A).