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Time and Work

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.
Q1:

In how many days can 10 women finish a work?
I.  10 men can complete the work in 6 days.
II. 
10 men and 10 women together can complete the work in 3 3 days
7
 III.  If 10 men work for 3 days and thereafter 10 women replace them, the remaining work in completed in 4 days.

A Any two of the three

B I and II only

C II and III only

D I and III only

E None of these

ANS:A - Any two of the three

  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).



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