A, B and C can complete a work in 20, 24 and 30 days respectively

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 Multiple Choice QuestionsMultiple Choice Questions

101.

A sum of money is sufficient to pay A's wages for 21 days and B's wages for 28 days. The same money is sufficient to pay the wages of both for

  • 24 1 half space days

  • 12 days

  • 12 1 fourth space days

  • 14 days

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102.

A contractor undertook to finish a certain work in 124 days and employed 120 men. After 64 days, he found that he had already done 2/3 of the work. How many men can be discharged now, so that the work may finish in time?

  • 40

  • 50

  • 48

  • 56

29 Views

103.

A can do a piece of work in 12 days while B alone can do it in 15 days. With the help of C, they can finish it in 5 days. If they are paid ₹ 960 for the whole work how much money A gets?

  • ₹ 480

  • ₹ 240

  • ₹ 320

  • ₹ 400

31 Views

104.

Ronald and Elan are working on an assignment. Ronald takes 6h to type 32 pages on a computer, While Elan takes 5 h to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

  • 7 h 30 min

  • 8 h

  • 8 h 15 min

  • 8 h 25 min

40 Views

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105.

One man,  3 women and 4 boys can do a piece of work in 96 h,  2 men and 8 boys can do it in 80 h, 2 men and 3 women can do it in 120 h. 5 men and 12 boys can do it in

  • 39 1 over 11 straight h

  • 42 7 over 11 straight h

  • 43 7 over 11 straight h

  • 44 h

35 Views

106.

A and B together can do a piece of work in 6 days. If A can alone do the work in 18 days, then the number of days required for B to finish the work is

  • 9

  • 10

  • 12

  • 15


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107.

A, B and C can complete a work in 20, 24 and 30 days respectively. All three of them starts together but after 4 days A leaves the job and B left the job 6 days before the work was completed. C completed the remaining work alone. In how many days was the total work completed?

  • 10 days

  • 12 days

  • 14 days

  • 16 days


C.

14 days

Shortcut Method:
Let the total work gets completed in 'x' days.
Now,
4 over 20 space plus space fraction numerator straight x minus 6 over denominator 24 end fraction space plus space straight x over 30 space equals space 1
rightwards double arrow space space fraction numerator 6 space cross times space 4 space plus space 5 left parenthesis straight x minus 6 right parenthesis space plus space 4 straight x over denominator 120 end fraction space equals space 1
rightwards double arrow space space space space 24 space plus space 5 straight x space minus space 30 space plus space 4 straight x space equals space 120
rightwards double arrow space space space space space space space space space space space space space 9 straight x space equals space 126
rightwards double arrow space space space space space space space space space space space space straight x space equals space 14 space days


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108.

Asif is twice as good as workman as Bashir and together they finish a piece of work in 30 days. In how many days will Asif alone finish the work?

  • 90 days

  • 45 days

  • 60 days

  • 75 days


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