Direction: In each of the following questions, a question is asked followed by three statements. You have to study the questions and all the three statements given and decide whether any information provided in the statement(s) is/are redundant and can be dispensed with while answering the questions.
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12 men and 8 women can complete a piece of work in 10 days. How many days will it take for 15 men and 4 women to complete the same work?
A. 15 men can complete the work in 12 days.
B. 15 women can complete the work in 16 days.
C. The amount of work done by a woman is three - fourth of the work done by a man in one day.
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- A or B or C only
- B or C only
- C only
- Any two of the three
- B only
Correct Option: D
As per the given all details in above question , we can say
Given , 12 men and 8 women can complete a piece of work = 10 days
Let 15 men and 4 women to complete the same work in D days .
From statement A , 15 men can complete the work = 12 days.
From statement B , 15 women can complete the work = 16 days.
From statement C , Women = ( 3 / 4 ) x men ⇒ 4W = 3M
According to question ,
( 12M + 8W ) x 10 = ( 15M + 4W ) x D
⇒ ( 4 x 4W + 8W ) x 10 = ( 5 x 4W + 4W ) x D ⇒ 24W x 10 = 24W x D ⇒ D = 10 days
Any two of the three statements are sufficient to answer the question. Hence, anyone of the statements can be dispensed with.
