Aptitude - Time and Work - Discussion
Each of these questions is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the given question.
8 men and 14 women are working together in a field. After working for 3 days, 5 men and 8 women leave the work. How many more days will be required to complete the work? | |
I. | 19 men and 12 women together can complete the work in 18 days. |
II. | 16 men can complete two-third of the work in 16 days. |
III. | In 1 day, the work done by three men in equal to the work done by four women. |
Clearly, I only gives the answer.
Similarly, II only gives the answer.
And, III only gives the answer.
Correct answer is (D).
That means, the examiner wants us to check whether the statements given are redundant.
In the given question, we need to identify 3 variables and with the help of statements we can only solve 2 variables. So every statement is redundant. Hence Option D is correct. Trust the matter is understood.
Similarly let y be the work done by 1 woman in 1 day.
So according to the problem , the eq is :
3(8x+14y)+d(3x+6y)=1.
where d is the no of additional days required to finish the work.
Now we have 3 unknowns:x, y, d.
Statement 1 gives us the eq: 18(19x+12y)=1.
Statement 2 gives us the eq: 16*x*16=1.
Statement 3 gives us the eq: 3x=4y.
Thus to solve the problem statements 3 and 1 or 3 and 2 are required.
But no such option is there in the question.
"Each of these questions is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement (s) is redundant and can be dispensed with while answering the given question".
So here any 2 options are enough to answer the question hence option A or B or C is redundant.
However there is no such option of (I) or (III) could you please correct this in the question?
Please feel free to reply here if any of this does not make sense or if you find me to be wrong. I'd like to learn.
i.e. When we find answer using I and II; III is of no use means III is redundant i.e. we can dispense it.
Similarly, there are two more cases in which we can dispense I and II also I. We can dispense I or II or III.
If you analyse the question thoroughly , you will find that , all the three statements are reqd to solve this problem and the answer is , 43.4 days will took to complete the remaining work if 3 men and 6 womens work together .
And alone the statement I just give another equation in two variables which doesn't help at all.
So by any two options, we can give the answer, the third is not necessary.
That's why the answer is I, II, III. So we can remove any one of three.