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?


19 men and 12 women together can complete the work in 18 days.


16 men can complete two-third of the work in 16 days.


In 1 day, the work done by three men in equal to the work done by four women.

[A]. I only
[B]. II only
[C]. III only
[D]. I or II or III
[E]. II or III only

Answer: Option D


Clearly, I only gives the answer.

Similarly, II only gives the answer.

And, III only gives the answer.

Correct answer is (D).

Sat said: (Jul 14, 2010)  

Ankush said: (Jul 20, 2010)  
Please explain. . . how clearly,I gives the answer ? ? ?

Newbie said: (Nov 9, 2010)  
Any explanations to this? I am also unable to understand. I felt I & II can give the answer.

Balaji said: (Nov 28, 2010)  
From II we can find the no of days required by a eight men to complete i.e if 16 is for 24 then 8 is for 12 days. from option III we can find the relation between the men and woman working days tat is 3:4 , 4/3*12=16 days for 8 women, then for 14 women it is 28 days .. it is clear that option II and III are mandatory to give the answer. then how is option D right??

Shekhar said: (Jun 13, 2011)  
See the question is which option is redundant right... that means which one of I,II or III can be left

Since pairwise I,II II,III and III,I can give u answer so any of these statements I,II or III can be redundant..

That's y option d) is correct

Pes11 said: (Jul 4, 2011)  
The answer says "Clearly, I only gives the answer". How is this possible? from I you only get the equation 19m+12w=1/18 With this eq and with the data given in the problem statement, how can you get an answer for this question?

Uttar Dewangan said: (Aug 19, 2011)  
Please explain this question any with diagram.

Ajaydeep said: (Mar 7, 2012)  
Was not able to understand...Please give the solution...

Vipul said: (Aug 20, 2012)  
The equations formed contain two unknown variables so any two options are required to find the no. of days..
The options are incorrect

Sandy said: (Apr 2, 2013)  
Those who don't bother about paying attention to terms and conditions for usage of a product. Understanding this equation is nearly impossible for them.

Karthik said: (May 1, 2013)  
Suppose x be the work done by 1 man in 1 day.
Similarly let y be the work done by 1 woman in 1 day.
So according to the problem , the eq is :

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.

Deepti said: (Jun 27, 2013)  
How is it possible to find expected answer from only II condition? there is nothing mention about women in IInd condition please explain!

Prashansa Amra said: (Nov 28, 2013)  
The question says which of the given option (I or II or III) can be left. In this question any two (I or II or III) can be used to answer the given question, hence, the answer is D.

Antara said: (Jul 20, 2014)  
Please explain the statement no.3. I am unable to understand it.

Nishant said: (Aug 31, 2014)  
Read the whole question carefully.

Rajesh R said: (Dec 18, 2014)  
If you read the Direction it says 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.

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.

Riya said: (Jul 9, 2015)  
I can't understand please explain!

Rohan said: (Jul 30, 2015)  
Guys, take a look at the main question, we just have to find what option is not required to solve the questions given below.

"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.

Satyawan said: (Aug 13, 2015)  
Please give the explanation in detail.

We are unable to understand the explanation given above.

Iqbal said: (Aug 15, 2015)  
Please explain me.

Ritesh Gadewar said: (Aug 25, 2015)  
Read question carefully. "Whether any information provided in the statement (s) is 'redundant' and can be 'dispensed' with while answering the given question".

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.

Taniya said: (Oct 7, 2015)  

Victor Fernandes said: (Nov 10, 2015)  
According to me either (I) or (III) is redundant as both involve 2 variables. (II) involves just one variable and can be used to get the second variable in (I) or (III).

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.

Shanu said: (Dec 15, 2015)  
Correct read the question carefully, they're asking the redundant statement and not the required statements.

Varinder said: (Jun 8, 2016)  
Oh yes. If the redundant statement is asked.

The option D is absolutely right.

Rahul Patil said: (Jul 21, 2016)  
Since any of the two statements are enough to solve the question the other one will be redundant providing same results. So for any combination one of them will be redundant.

Deepak Jangid said: (Oct 25, 2016)  
Explain this in short trick.

Upama said: (Jan 5, 2017)  
How 1 clearly gives answer? option will be E.

Amruta said: (Jun 29, 2017)  
Please give more explanation about each option.

Mahesh said: (Aug 5, 2017)  
Explain it clearly.

Preeti said: (Aug 30, 2017)  
Read the main question carefully and you will get that we have to find the option which is not essential to solve the question.

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.

Sunil Rajput said: (Nov 22, 2017)  
Sir, please explain this.

Sankari said: (Dec 12, 2017)  
Please give the answer with full explanation.

Shashi Patel said: (Mar 25, 2018)  
Please explain it.

Rahul. M said: (Jun 1, 2018)  
I think option A is correct because in other two option they have not mentioned the total day required to complete whole work.

Tom said: (Jul 4, 2018)  
The answer is 3 only.

Because it gives the relation between the rate of men versus women.

Ravi said: (Oct 8, 2018)  
How II gives the answer?

Prince Rabadiya said: (Jun 26, 2019)  
How only II is able to give the answer?

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