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.

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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


A.

15

Let the time taken by pipe B to empty the tank  = 2x hours
∴    Time taken by pipe A to empty the tank = x hours
(A and B) takes half of the time that c takes.
∴   Time taken by pipe C
     equals space space fraction numerator 2 over denominator begin display style fraction numerator 1 over denominator 2 straight x end fraction end style plus begin display style 1 over straight x end style end fraction space equals space fraction numerator 2 over denominator begin display style fraction numerator 1 plus 2 over denominator 2 straight x end fraction end style end fraction space equals space fraction numerator 4 straight x over denominator 3 end fraction space hours
A, B and C together take 6 hours 40 minutes
therefore space space space space space 1 over straight x space plus space fraction numerator 1 over denominator 2 straight x end fraction space plus space fraction numerator 3 over denominator 4 straight x end fraction space equals space fraction numerator 1 over denominator 6 plus begin display style 40 over 60 end style end fraction space equals space fraction numerator 1 over denominator 6 plus begin display style 2 over 3 end style end fraction
rightwards double arrow space space space space space fraction numerator 4 plus 2 plus 3 over denominator 4 straight x end fraction space equals space 3 over 20
rightwards double arrow space space space space space 9 space cross times space 20 space equals space 4 straight x space cross times space 3
rightwards double arrow space space space space space space straight x space equals space fraction numerator 9 space cross times space 20 over denominator 4 space cross times space 3 end fraction space equals space 15 space hours

 

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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

257 Views

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
176 Views

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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