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 Multiple Choice QuestionsMultiple Choice Questions

31.

A company employed 200 workers to complete a certain work in 150 days. If only one-fourth of the work has been done in 50 days, then in order to complete the whole work in time, the number of additional workers to be employed was

  • 100

  • 300

  • 600

  • 600

329 Views

32.

If a man earns ₹ 2000 for his first 50 hours of work in a week and is then paid one and a half times his regular hourly rate for any additional hours, then the hours must he work to make ₹ 2300 in a week is

  • 6 hours

  • 4 hours

  • 7 hours

  • 7 hours

282 Views

33.

Raj and Ram working together do a piece of work in 10 days. Raj alone can do it in 12 days. Raj alone will do the work in 

  • 20 days

  • 40 days

  • 50 days

  • 50 days

172 Views

34.

15 men take 20 days to complete a job working 8 hours a day. The number of hours a day should 20 men take to complete the job in 12 days

  • 5 hours

  • 10 hours

  • 15 hours

  • 15 hours

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35.

A, B and C can do a job in 6 days, 12 days and 15 days respectively. After 1 over 8 of the work is completed. C leaves the job. Rest of the work is done by A and B together. Time taken to finish the work in

  • 5 5 over 6 space days
  • 5 1 fourth space days
  • 3 1 half space days
  • 3 1 half space days
179 Views

36.

A man is twice as fast as a woman and a woman is twice as fast as a boy in doing a work. If all of them, a man, a woman and a boy can finish the work in 7 days. In how many days a boy will do it alone?

  • 49

  • 7

  • 6

  • 6

192 Views

37.

A, B and C are employed to do a piece of work for ₹ 575. A and C are supposed to finish 19 over 23 of the work together. Amount shall be paid to B is

  • ₹ 210

  • ₹ 100

  • ₹ 200

  • ₹ 200

165 Views

38.

If x men can do a piece of work in x days, then the number of days in which y men can do the same work is

  • xy days

  • straight y squared over straight x space days
  • straight x squared over straight y space days
  • straight x squared over straight y space days
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39.

A farmer can plough a field working 6 hours per day in 18 days. The worker has to work how many hours per day to finish the same work in 12 days?

  • 7

  • 9

  • 11

  • 11

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40.

Two workers A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked 1 third as efficiently as he actually did, the work would have been completed in 3 days. To complete the job alone, A would require

  • 5 1 fifth space days
  • 6 1 fourth space days
  • 7 1 half space days
  • 7 1 half space days


B.

6 1 fourth space days

Let A alone finishes the work in x days, and B alone finishes the work in y days, then
rightwards double arrow space space space 1 over straight x plus space 1 over straight y space equals space 1 fifth space space space space space space... left parenthesis straight i right parenthesis
Again,
     2 over straight x space plus space fraction numerator 1 over denominator 3 straight y end fraction space equals space 1 third space space space space space space space... left parenthesis ii right parenthesis
Solving equation (i) and (ii),
   Multiply Equation (ii) x 3 - (i)
    rightwards double arrow space space space space 6 over straight x space plus space 1 over straight y space minus space 1 over straight x minus 1 over straight y space equals space 1 minus 1 fifth
rightwards double arrow space space space 6 over straight x space minus space 1 over straight x space equals space 4 over 5
rightwards double arrow space space space space fraction numerator 6 minus 1 over denominator straight x end fraction space equals space 4 over 5
rightwards double arrow space space space straight x space equals space 25 over 4 space equals space 6 1 fourth space days

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