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Home Aptitude Pipes and Cistern Comments

  • Question
  • A pump can fill a tank with water in 2 hours. Because of a leak, it took 213 hours to fill the tank. The leak can drain all the water of the tank in:


  • Options
  • A. 7 hours
  • B. 8 hours
  • C. 12 hours
  • D. 14 hours

  • Correct Answer
  • 14 hours 

    Explanation

    If the total area of pump=1 part

    The pumop take 2 hrs to fill 1 part 

    The pumop take1 hour to fill 1/2 portion 

     

    Due to lickage  

    The pumop take 7/3 hrs to fill 1 part 

    The pumop take1 hour to fill 3/7 portion 

    Now the difference of area = (1/2-3/7)=1/14 

     

    This 1/14 part of water drains in 1 hour 

    Total area=1 part of water drains in (1x14/1)hours= 14 hours 

     

    So the leak can drain all the water of the tank in 14 hours. 

    Leak will empty the tank in 14 hrs

  • Tags: CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk

    Pipes and Cistern problems


    Search Results


    • 1. Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?

    • Options
    • A. 10 min. 20 sec.
    • B. 11 min. 45 sec.
    • C. 12 min. 30 sec.
    • D. 14 min. 40 sec.
    • Discuss
    • 2. 16 persons are participated in a party. In how many differentways can they host the seat in a circular table, if the 2particular persons are to be seated on either side of the host?

    • Options
    • A. 16! × 2
    • B. 14! × 2
    • C. 18! × 2
    • D. 14!
    • Discuss
    • 3. What is the total no of ways of selecting atleast one item from each of the two sets containing 6 different items each?

    • Options
    • A. 2856
    • B. 3969
    • C. 480
    • D. None of these
    • Discuss
    • 4. In how many different ways can 6 different balls be distributed to 4 different boxes, when each box can hold any number of ball?

    • Options
    • A. 2048
    • B. 1296
    • C. 4096
    • D. 576
    • Discuss
    • 5. In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may hold all of the toys?

    • Options
    • A. 15
    • B. 10
    • C. 25
    • D. 20
    • Discuss
    • 6. A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

    • Options
    • A. 3 hrs 15 min
    • B. 3 hrs 45 min
    • C. 4 hrs 15 min
    • D. 4 hrs 1
    • Discuss
    • 7. Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:

    • Options
    • A. 10
    • B. 12
    • C. 14
    • D. 16
    • Discuss
    • 8. Three taps A,B and C can fill a tank in 12,15 and 20 hours respectively. If A is open all the time and B ,C are open for one hour each alternatively, the tank will be full in:

    • Options
    • A. 6 hrs
    • B. 20/3 hrs
    • C. 7 hrs
    • D. 15/2 hrs
    • Discuss
    • 9. A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in ?

    • Options
    • A. 20 hrs
    • B. 28 hrs
    • C. 36 hrs
    • D. 40 hrs
    • Discuss
    • 10. A and B can fill the tank in 60 min and 90 min. There is a leak at 3/4th of the height. If leak is opened alone, it takes 36 min to empty till 3/4th the height. Find the time taken to fill the tank if all of the taps and the leak are opened simultaneously.

    • Options
    • A. 39
    • B. 27
    • C. 37
    • D. 33
    • Discuss


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