x does 1/4 of a job in 6 days. Y completes rest of the job in 12

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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

275 Views

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

268 Views

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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

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

186 Views

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


B.

9 3 over 5 space days

 x does 1/4 work in 6 days.
∴   x does complete work in (6 x 4 = 24 days)
     y does complete the 3/4 work in 12 days.
  ∴  y does complete work in (12 x 4 /3 = 16 days)
x and y together can complete a work in = fraction numerator 16 space cross times 24 over denominator left parenthesis 16 plus 24 right parenthesis end fraction space space equals space 48 over 5 space equals space 9 3 over 5 days.
 

    

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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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