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

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

11.

A does one-fifth of a work in a week. B finishes the same in a fortnight. B starts the work and works only for 3 days. Thereafter A completes the job. He will finish it in

  • 10 days

  • 7 days

  • 12 days

  • 12 days

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12.

A tank can be filled by pipe A in 2 hours and pipe B in 6 hours. At 10 A.M. pipe A was opened. At what time will the tank be filled if pipe B is opened at 11 A.M.?

  • 12.45 A.M.

  • 5 P.M.

  • 11.45 A.M.

  • 11.45 A.M.

554 Views

13.

A swimming pool has 3 drain pipes. The first two pipes A and B, operating simultaneously can empty the pool in half the time that C, the 3rd pipe alone takes to empty it. Pipe A, working alone, takes to empty it. Pipe A, working alone, takes half the time taken by pipe B. Together they take 6 hours 40 minutes to empty the pool. Time taken by pipe A to empty the pool, in hours, is

  • 15

  • 10

  • 30

  • 30

727 Views

14.

A can do a certain work in 12 days. B is 60% more efficient than A. How many days will B and A together take to do the same job?

  • 80 over 13
  • 70 over 13
  • 75 over 13
  • 75 over 13
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15.

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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16.

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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17.

A fan in a shop is offered at a discount of 10%. It is sold during clearance sale at 6% discount over the already discounted price at ₹ 846. The original marked price of the fan is

  • ₹ 1000

  • ₹ 946

  • ₹ 850

  • ₹ 850

131 Views

18.

A trader allows a trade discount of 20% and a cash discount of 6 1 fourth percent sign on the marked price of the goods and gets a net gain of 20% of the cost. By how much above the cost should the goods be marked for the sale?

  • 40%

  • 50%

  • 60%

  • 60%

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19.

A discount series of 10%, 20% and 40% is equal to a single discount of

  • 56.80%

  • 50%

  • 70%

  • 70%

108 Views

20.

Tarun bought a T.V. with 20% discount on the labelled price. Had he bought it with 25% discount, he would have saved ₹ 500. At what price did he buy the T.V.?

  • ₹ 7,500

  • ₹ 8,500

  • ₹ 8,000

  • ₹ 8,000

151 Views

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