A, B and C can do a piece of work in 30, 20 and 10 days respecti

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 Multiple Choice QuestionsMultiple Choice Questions

41.

Sunil completes a work in 4 days whereas Dinesh completes the work in 6 days. Ramesh works 1 1 half space times as fast as Sunil. The three together can complete the work in

  • 1 5 over 12 space days
  • 1 5 over 7 space days
  • 1 3 over 8 space days
  • 1 3 over 8 space days
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42.

Three persons undertake to complete a piece of work for ₹ 1,200. The first person can complete the work in 8 days, the second person in 12 days and third person in 16 days. They complete the work with the help of a fourth person in 3 days. What does the fourth person get?

  • ₹ 180

  • ₹ 200

  • ₹ 225

  • ₹ 225

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43.

A can do a piece of work in 20 days and B in 30 days. They work together for 7 days and then both leave the work. Then C alone finishes the remaining C alone finishes the remaining work in 10 days. In how many days will C finish the full work?

  • 25 days

  • 30 days

  • 24 days

  • 24 days

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44.

250 men can finish a work in 20 days working 5 hours a day. To finish the work within 10 days working 8 hours a day, the minimum number of men required is

  • 310

  • 300

  • 313

  • 313

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45.

2 men and 5 women can do a work in 12 days. 5 men and 2 women can do that work in 9 days. Only 3 women can finish the same work in

  • 36 days

  • 21 days

  • 30 days

  • 30 days

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46.

P, Q, R are employed to do a work for ₹ 5750. P and Q together finished 19 over 23 of work and Q and R together finished 8 over 23 of work. Wage of Q, in rupees, is

  • 2850

  • 3750

  • 2750

  • 2750

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47.

If A works alone, he would take 4 days more to complete the job than if both A and B worked together. If B worked alone, he would take 16 days more to complete the job than if A and B work together. How many days would they take complete the work if both of them worked together?

  • 10 days

  • 12 days

  • 6 days

  • 6 days

316 Views

48.

A can do a piece of work in 24 days, B in 52 days and C in 64 days. All begin to do it together, but A leaves after 6 days and B leaves 6 days before the completion of the work. How many days did the work last?

  • 720/29

  • 20

  • 18

  • 18

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49.

A, B and C can do a piece of work in 30, 20 and 10 days respectively. A is assisted by B on one day and by C on the next day, alternately. How long would the work take to finish?

  • 9 3 over 8 space days
  • 4 8 over 8 space days
  • 8 4 over 13 space days
  • 8 4 over 13 space days


A.

9 3 over 8 space days

Work done by A and B on first day = open parentheses 1 over 30 plus 1 over 20 close parentheses space equals space 1 over 12
Work done by A and C on second day = open parentheses 1 over 30 plus 1 over 10 close parentheses space equals space fraction numerator 1 plus 3 over denominator 30 end fraction space equals space 4 over 30 space equals space 2 over 15
Work done in by A, B and C in first two days = open parentheses 1 over 12 plus 2 over 15 close parentheses space equals space fraction numerator 5 plus 8 over denominator 60 end fraction space equals space 13 over 60
Work done in first 8 days = fraction numerator 13 space cross times space 4 over denominator 60 end fraction space equals space 52 over 60
Remaining work = 1 minus 52 over 60 space equals space 8 over 60 space equals space 2 over 15
Now, it is the turn of A and B. (A + B)'s 1 day's work
           equals space 1 over 30 plus 1 over 20 space equals space fraction numerator 2 plus 3 over denominator 60 end fraction space equals space 1 over 12
Remaining work = 2 over 15 minus 1 over 12 space equals space fraction numerator 8 minus 5 over denominator 60 end fraction space equals space 1 over 20
Now, it is the turn of A and C. 
 (A + C)'s 1 day's work
         equals space 1 over 30 plus 1 over 10 space equals space fraction numerator 1 plus 3 over denominator 30 end fraction space equals space 2 over 15
∴ Time taken = 1 over 20 space cross times space 15 over 2 space equals space 3 over 8 day
Total time = 9 space plus space 3 over 8 space equals space 9 3 over 8 space days 




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50.

2 men and 4 boys can do a piece of work in 10 days, while 4 men and 5 boys can do it in 6 days. Men and Boys are paid wages according to their output. If the daily wage of a man is ₹ 40, then the ratio of daily wages of a man and a boy will be

  • 5 : 3

  • 5 : 2

  • 7 : 4

  • 7 : 4

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