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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:

How many workers are required for completing the construction work in 10 days?  I. 20% of the work can be completed by 8 workers in 8 days.  II. 20 workers can complete the work in 16 days.  III. One-eighth of the work can be completed by 8 workers in 5 days.

A I only

B II and III only

C III only

D I and III only

E Any one of the three

ANS:E - Any one of the three

 I. 20 work can be completed by (8 x 8) workers in 1 day.
100
   Whole work can be completed by (8 x 8 x 5) workers in 1 day.
        = 8 x 8 x 5 workers in 10 days = 32 workers in 10 days.
10
 II. (20 x 16) workers can finish it in 1 day.
   (20 x 16) workers can finish it in 10 days.
10
   32 workers can finish it in 10 days.
III. 1 work can be completed by (8 x 5) workers in 1 day.
8
   Whole work can be completed by (8 x 5 x 8) workers in 1 day.
        = 8 x 5 x 8 workers in 10 days = 32 workers in 10 days.
10
 Any one of the three gives the answer.  Correct answer is (E).



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