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Home Aptitude Pipes and Cistern See What Others Are Saying!
  • Question
  • Three taps are fitted in a cistern. The empty cistern is filled by the first and the second taps in 3 and 4 h, respectively. The full cistern is emptied by the third tap in 5 h. If all three taps are opened simultaneously, the empty cistern will be filled up in?


  • Options
  • A. 114/23 h
  • B. 214/23 h
  • C. 2 h 40 min
  • D. 1 h 56 min

  • Correct Answer
  • 214/23 h 

    Explanation

    Part of tank filled by first tap in 1 h = 1/3
    Part of tank filled by second tap in 1 h = 1/4
    Part of tank emptied by third tap in 1 h = 1/5
    Part of the tank filled by all pipes opened simultaneously in 1 h
    = 1/3 + 1/4 - 1/5 = (20 + 15 - 12)/60 = 23/60
    Time taken by all the taps to fill the tank when it is empty = 23/60 h = 214/23 h


  • More questions

    • 1. 
      x% of y is y% of?

    • Options
    • A. x
    • B. 100x
    • C. x/100
    • D. y/100
    • Discuss
    • 2. 
      If 37 1/ 2% of a number is 900,then 62 1/ 2% of the number is?

    • Options
    • A. 1200
    • B. 1350
    • C. 1500
    • D. 540
    • Discuss
    • 3. 
      Subtracting 6% of A from A is equivalent to multiplying A by how much?

    • Options
    • A. 0.94
    • B. 9.4
    • C. 0.094
    • D. 94
    • Discuss
    • 4. 
      The price of rice has increased by 60%. In order to restore to the original price, the new price must be reduced by?

    • Options
    • A. 331/3%
    • B. 371/2%
    • C. 40%
    • D. 45%
    • Discuss
    • 5. 
      ? (3.6% of 40) is equal to?

    • Options
    • A. 2.8
    • B. 1.8
    • C. 1.2
    • D. None of these
    • Discuss
    • 6. 
      A student is required to secure at least 50% marks in order to pass an examination. He secured 50 marks which were less than the minimum passing marks by 50. The maximum marks of the paper are?

    • Options
    • A. 200
    • B. 250
    • C. 275
    • D. 300
    • Discuss
    • 7. 
      A furniture seller sells two tables at ? 1500 each. He earned a profit of 20% on one table and suffered a loss of 20% on the another table. Net profit or loss in this deal is?

    • Options
    • A. 4% loss
    • B. 4% profit
    • C. 10% loss
    • D. 10% profit
    • Discuss
    • 8. 
      What is 5% of 50% of 500?

    • Options
    • A. 12.5
    • B. 25
    • C. 1.25
    • D. 6.25
    • Discuss
    • 9. 
      25% of what amount of money is equal to 12 1/ 2 of ? 180?

    • Options
    • A. ? 120
    • B. ? 75
    • C. ? 80
    • D. ? 90
    • Discuss
    • 10. 
      The monthly income of a person is ? 5000. If his income is increased by 30% then what is his monthly income now?

    • Options
    • A. ? 7000
    • B. ? 5500
    • C. ? 4500
    • D. ? 6500
    • Discuss


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