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 Multiple Choice QuestionsMultiple Choice Questions

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11.

Pipe A can fill an empty tank in 6 hours and pipe B in 8 hours. If both the pipes are opened and after 2 hours pipe. A is closed, how much time B will take to fill the remaining tank?

  • 7 1 half space hours
  • 2 2 over 5 space hours
  • 2 1 third space hours
  • 2 1 third space hours


D.

2 1 third space hours

Part filled by A and B together in first 2 hours
 equals space 2 space open parentheses 1 over 6 space plus space 1 over 8 close parentheses
equals space 2 open parentheses fraction numerator 4 plus 3 over denominator 24 end fraction close parentheses space equals space 7 over 12
Remaining part = 1 minus 7 over 12 space equals space 5 over 12
This part shall be filled by pipe B
∴ Required time to fill the remaining tank by B
 equals space 5 over 12 space cross times space 8 space equals space 10 over 3 space hours space equals space 3 1 third space hours


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12.

A water tap fills a tub in 'p' hours and a sink at the bottom empties it in 'q' hours. If p < q and both tap and sink are open, the tank is filled in 'r' hours; then

  • 1 over straight r space space equals space 1 over straight p space plus space 1 over straight q
  • 1 over straight r space equals space 1 over straight p minus 1 over straight q
  • r = p  +q

  • r = p  +q

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13.

Two pipes P and Q can fill a cistern in 12 and 15 min, respectively. If both are opened together and at the end of 3 min, the first is closed. How much longer will the cistern take to fill?

  • 8 1 fourth min

  • 8 3 over 4 min

  • 5 min

  • 8 1 half space min

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14.

A tap can empty a tank in 30 min. A second tap can empty it in 45 min. If both the taps operate simultaneously, how much time is needed to empty the tank?

  • 30 min

  • 14 min

  • 15 min

  • 18 min


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15.

A pipe can fill a tank in x h and another can empty it in y h. They can together fill it in (y > x)

  • x - y

  • fraction numerator xy over denominator straight y minus straight x end fraction

  • y - x

  • fraction numerator xy over denominator straight y minus straight x end fraction


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