Two workers A and B are engaged to do a piece of work. A working

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 Multiple Choice QuestionsMultiple Choice Questions

21.

A and B can do a piece of work in 18 days, B and C in 24 days, A and C in 36 days. Working together they can do the work in

  • 12 days

  • 13 days

  • 16 days

  • 16 days

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22.

Ramesh and Rahman can do a work in 20 and 25 days respectively. After doing collectively for 10 days at the work, they leave the work due to illness and Suresh completes rest of the work in 3 days. How many days Suresh alone can take to complete the whole work?

  • 32 days

  • 28 days

  • 29 days

  • 29 days

679 Views

23.

A can do as much work in 4 days as B can do in 5, and B can do as much work in 6 days as C in 7 days. In what time will C do a piece of work which A can do in a week?

  • 10 5 over 24 space days
  • 4 4 over 5 space days
  • 6 8 over 15 days
  • 6 8 over 15 days
560 Views

24.

A can do a piece of work in 10 days and B can do it in 12 days. They work together for 3 days. Then B leaves and A alone continues. 2 days after that C joins and the work is completed in 2 days more. In how many days can C do it, if he works alone?

  • 30 days

  • 50 days

  • 40 days

  • 40 days

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25.

The ratio of the amount of work done by (x - 1) labours in (x + 1) days and that done by (x + 1) labours in (x + 2) days is 5 : 6. Then the value of x is 

  • 16

  • 15

  • 17

  • 17

226 Views

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26.

Two workers A and B are engaged to do a piece of work. A working alone would take 8 hours more to complete the work than when work together. If B worked alone, would take 4 1 half space hours more than when work together. The time required to finish the work together is 

  • 5 hours

  • 4 hours

  • 8 hours

  • 8 hours


D.

8 hours

Let time taken by A and B  be x.
∴ According to the question,
Time taken by A alone  = (x + 8) hours
Time taken by B alonge = left parenthesis straight x plus 9 over 2 right parenthesis space hours.
therefore space space space space space fraction numerator 1 over denominator straight x plus 8 end fraction space plus fraction numerator 1 over denominator straight x plus begin display style 9 over 2 end style end fraction space equals space 1 over straight x
rightwards double arrow space space space fraction numerator 1 over denominator straight x plus 8 end fraction space plus space fraction numerator 2 over denominator 2 straight x plus 9 end fraction space equals space 1 over straight x
rightwards double arrow space space space fraction numerator 2 straight x plus 9 plus 2 straight x plus 16 over denominator left parenthesis straight x plus 8 right parenthesis thin space left parenthesis 2 straight x plus 9 right parenthesis end fraction space equals space 1 over straight x
rightwards double arrow space space fraction numerator 4 straight x plus 25 over denominator 2 straight x squared plus 16 straight x plus 9 straight x plus 72 end fraction space equals space 1 over straight x
rightwards double arrow space space space fraction numerator 4 straight x plus 25 over denominator 2 straight x squared plus 16 straight x plus 9 straight x plus 72 end fraction space equals space 1 over straight x
rightwards double arrow space space space space 4 straight x squared plus 25 straight x space equals space 2 straight x squared plus 25 straight x plus 72
rightwards double arrow space space space space 2 straight x squared space equals space 72 space space rightwards double arrow space space space straight x squared space equals space 72 over 2 space equals space 36
rightwards double arrow space space space straight x space equals space square root of 36 equals space space 6 space hours
 



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27.

If x can finish a job in 4 hours and y can finish the same job in 8 hours independently, then they together will finish the job in

  • 140 minutes

  • 160 minutes

  • 120 minutes

  • 120 minutes

228 Views

28.

x can copy 80 pages in 20 hours, x and y together can copy 135 pages in 27 hours. Then y can copy 20 pages in 

  • 20 hours

  • 3 hours

  • 24 hours

  • 24 hours

254 Views

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29.

x does 1/4 of a job in 6 days. Y completes rest of the job in 12 days. Then x and y could complete the job together in

  • 9 days

  • 9 3 over 5 space days
  • 8 1 over 8 space days
  • 8 1 over 8 space days
232 Views

30.

A supply of juice lasts for 35 days. If its use is increased by 40% the number of days would the same amount of juice lasts, is

  • 25 days

  • 30 days

  • 24 days

  • 24 days

415 Views

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