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  • Question
  • Four pipes P,Q, R and S can fill a cistern in 20,25, 40 and 50 hours respectively.The first pipe P was opened at 6:00 am, Q at 8:00 am, R at 9:00 am and S at 10:00 am. when will the Cistern be full?


  • Options
  • A. 4:18 pm
  • B. 3:09 pm
  • C. 12:15 pm
  • D. 11:09 am

  • Correct Answer
  • 3:09 pm 

    Explanation

    Efficiency of P= 100/20= 5% per hour  

    Efficiency of Q= 100/25= 4% per hour  

    Efficiency of R= 100/40= 2.5% per hour  

    Efficiency of S=100/50= 2% per hour 

     

    Cistern filled till 10 am by P, Q and R  

    Till   10 . 00 am   Pipe   P   filled   20 % Till   10 . 00 am   Pipe   Q   filled   8 % Till   10 . 00 am   Pipe   R   filled   2 . 5 % 30 . 5 %   

    Thus, at 10 am pipe P,Q and R filled 30.5% of the cistern. 

    Rest of cistern to be filled = 100 - 30.5 = 69.5%  

     

    Now, the time taken by P,Q,R and S together to fill the remaining capacity of the cistern 

    = 69.5 / (5+4+2.5+2) = 5 Hours and 9 minutes(approx).

    Therefore, total time =4 hrs + 5hrs 9 mins = 9 hrs and 9 mins

     

    It means cistern will be filled up at 3:09 pm


  • More questions

    • 1. 
      The last day of century cannot be either
      I. Tuesday
      II. Thursday
      III. Saturday
      IV. Sunday

    • Options
    • A. I and II
    • B. I and IV
    • C. I, II and III
    • D. I,III and IV
    • Discuss
    • 2. 
      In a ?ABC, if 2?A = 3?B = 6?C, Then ?A is equal to:

    • Options
    • A. 60°
    • B. 30°
    • C. 90°
    • D. 120°
    • Discuss
    • 3. 
      How many times in a day (24 Hrs), are the hands of a clock in straight line but opposite in direction?

    • Options
    • A. 20
    • B. 22
    • C. 24
    • D. 48
    • Discuss
    • 4. 
      Which of the following two months in a particular year will have same calendar.

    • Options
    • A. January and August
    • B. January and October
    • C. March and November
    • D. None of these
    • Discuss
    • 5. 
      In a circle of radius 21 cm an arc subtends an angle of 72° at the centre. The length of the arc is?

    • Options
    • A. 13.2 cm
    • B. 19.8 cm
    • C. 21.6 cm
    • D. 26.4 cm
    • Discuss
    • 6. 
      If in a particular year 'X' there are 53 Sundays then how many Sundays will be there in a period of four years X to X + 3 year.

    • Options
    • A. 208
    • B. 209
    • C. 208 or 209
    • D. None of these
    • Discuss
    • 7. 
      In a game of 80 points, A can give B 5 points and C 15 points. Then how many points B can give C in a game of 60?

    • Options
    • A. 12
    • B. 10
    • C. 8
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    • Discuss
    • 8. From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was:

    • Options
    • A. 75 litres
    • B. 100 litres
    • C. 150 litres
    • D. 120 litres
    • Discuss
    • 9. If a - b = 3 and a2 + b2 = 29, find the value of ab.

    • Options
    • A. 10
    • B. 12
    • C. 15
    • D. 18
    • Discuss
    • 10. Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C.

    • Options
    • A. 1:9
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    • C. 3:7
    • D. 7:3
    • Discuss


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