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General Ability Quantitative Ability/Reasoning ; Logical Reasoning ; Analytical Reasoning/Ability ; Mental Abilities |
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#1
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Kindly solve this work question
Aoa,
Kindly solve this question. In this question, two different people are doing the same work, and this is confusing me in its solution If 3 men or 6 boys can do a work in 20 days, then 6 men and 8 boys shall take: A. 6 days. B. 8 days. C. 9 days. D. 20 days. P.S: Quick and detailed reply would be highly appreciated. Thanks in anticipation. Regards. |
#2
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my answer is 7.5 (approx 8 because 8 is not in the options)
the number of men and boys is increasing so they will be doing the work in less days, therefore men and boys are at inverse with days (so it is indirect proportion) having a test tomorrow?
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Striving for success without hard work is like trying to harvest where you never planted. Last edited by Man Jaanbazam; Tuesday, September 15, 2015 at 12:20 AM. Reason: merge chain posts |
#3
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Solution
Ans: Given, work can be done by:
3*20 = 60 man-days or 6*20 = 120 boy-days therefore 60 md = 120 b.d divide by 60 md = 2bd : how many days will 6 men and 8 boys take to do the same work? let d = no. days to accomplish this in terms of man-days we know that 8bd = 4 md; therefore 6d + 4d = 60 10d = 60 d = 6 days for 6 men and 8 boys to do the job
__________________
"The sound of laughter has always seemed to me the most civilized music in the universe." |
#4
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Quote:
8 is among the options. Btw, I know that it's indirect proportion but it's really confusing and I think this question is solved by a linear equation. Let's see if somebody else knows it. Quote:
Thanks a bunch bro but I didn't understand the 2nd part of your solution. Could you please throw some light on this: we know that 8bd = 4 md; therefore 6d + 4d = 60 10d = 60 d = 6 days for 6 men and 8 boys to do the job How did you get 4md and where is 8bd after that step ?
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Nasru minal'lahi wa fat'hun qareeb Last edited by Man Jaanbazam; Tuesday, September 15, 2015 at 12:22 AM. Reason: merge chain posts |
#5
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oh. it is boys or men,,, and i am taking it as boys and men, sorry,,
but yes you have written it both ways,, once you have written or' and then and'???? confused
__________________
Striving for success without hard work is like trying to harvest where you never planted. |
#6
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@Mishal
Mam, I have attempted by your method and it gives 7.5 that somehow makes '8' the right answer. But, still I am not satisfied and I think Faheem's method and answer is right. @Faheem Kindly reply. It's getting late.
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Nasru minal'lahi wa fat'hun qareeb |
#7
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Quote:
Quote:
Then, 1 boy = 3/6 men = 1/2 men 8 boys = 1/2 × 8 men = 4 men Then, 6 men + 8 boys = 6 + 4 men = 10 men work done = 3 men × 20days That is, 3 × 20 = 10 × (required days) 3 × 2 = 1 × (required days) so (required days) =6. |
#8
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Quote:
can you please express your solution in words ? I didn't understand it.
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Nasru minal'lahi wa fat'hun qareeb |
#9
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Pipe A can fill a tank in 3minutes, whereas b can fill it in 4minites. How long would it take both pipes working together to fill it?
What is logic of inverse in ans? can one one plz explain it? Thanks in anticipation |
#10
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Quote:
Total Boy-days required to complete the task = 6 boys x 20 days = 120 Boy-days 120 days are required by one boy to complete the task. Now come to the 'then' part. because 6 men = 12 boys therefore, 6 men + 8 boys = 12 boys + 8 boys = 20 boys Now days required to complete the task = 120 boy-days /20 boys = 6 days 120 days are required by one boy to complete the task so the days required by 20 boys will be 120/20 = 6 days. You can also solve by pursuing with the men instead of boys, i.e. 1 man = 2 boys.
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Watu Izzu Man Tasha, Watu Zillu Man Tasha. |
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