New Pattern Data Interpretation Based on Pipes and Cisterns for SBI PO 2019 and Download Pipe and Cistern DI PDF for IBPS PO, IBPS RRB Scale 1, IBPS Clerk, SBI Clerk

Directions : Study the following pie charts carefully and answer the following questions given beside.
 
There are five inlet pipes (A, B, C, D, and E) and five outlet pipes (P, Q, R, S, and T) connected to a tank. The first pie-chart represents the percentage of the tank filled by each inlet pipe when all the inlet pipes are opened together and the second pie-chart represents the percentage of the tank emptied by each outlet pipe when all the outlet pipes are opened together.
 
Total capacity of the tank = 1200 litres
 
Time taken to fill the tank when all the inlet pipes are opened together = 3 minutes
 
Time taken to empty the tank when all the outlet pipes are opened together = 2.4 minutes

Percentage of the tank filled 



Percentage of the tank emptied


1
Find the time taken to fill the tank if pipes A, B, D, R, and S are opened together.  
» Explain it
D
  Amount of water filled Water filled per minute Time taken to fill the tank alone(in minutes)
Pipe A 20% of 1200 = 240 litres 240/3 = 80 litres/minute 1200/80 = 15
Pipe B 15% of 1200 = 180 litres 180/3 = 60 litres/minute 1200/60 = 20
Pipe C 25% of 1200 = 300 litres 300/3 = 100 litres/minute 1200/100 = 12
Pipe D 10% of 1200 = 120 litres 120/3 = 40 litres/minute 1200/40 = 30
Pipe E 30% of 1200 = 360 litres 360/3 = 120 litre/minute 1200/120 = 10
 
  Amount of water emptied Water emptied per minute Time taken to empty the tank alone(in minutes)
Pipe P 48% of 1200 = 576 litres 576/2.4 = 240 litres/minute 1200/240 = 5
Pipe Q 30% of 1200 = 360 litres 360/2.4 = 150 litres/minute 1200/150 = 8
Pipe R 8% of 1200 = 96 litres 96/2.4 = 40 litres/minute 1200/40 = 30
Pipe S 4% of 1200 = 48 litres 48/2.4 = 20 litres/minute 1200/20 = 60
Pipe T 10% of 1200 = 120 litres 120/2.4 = 50 litres/minute 1200/50 = 24

Reqd. time =  1200  =  1200  = 10 minutes
80 + 60 + 40 – 40 – 20 120

Hence, option D is correct.
2
Find the ratio of the sum of the time taken by pipe C alone and time taken by pipe E alone to fill the tank to the sum of the time taken by pipe Q alone and time taken by T alone to empty the tank.
» Explain it
B
  Amount of water filled Water filled per minute Time taken to fill the tank alone(in minutes)
Pipe A 20% of 1200 = 240 litres 240/3 = 80 litres/minute 1200/80 = 15
Pipe B 15% of 1200 = 180 litres 180/3 = 60 litres/minute 1200/60 = 20
Pipe C 25% of 1200 = 300 litres 300/3 = 100 litres/minute 1200/100 = 12
Pipe D 10% of 1200 = 120 litres 120/3 = 40 litres/minute 1200/40 = 30
Pipe E 30% of 1200 = 360 litres 360/3 = 120 litre/minute 1200/120 = 10

  Amount of water emptied Water emptied per minute Time taken to empty the tank alone(in minutes)
Pipe P 48% of 1200 = 576 litres 576/2.4 = 240 litres/minute 1200/240 = 5
Pipe Q 30% of 1200 = 360 litres 360/2.4 = 150 litres/minute 1200/150 = 8
Pipe R 8% of 1200 = 96 litres 96/2.4 = 40 litres/minute 1200/40 = 30
Pipe S 4% of 1200 = 48 litres 48/2.4 = 20 litres/minute 1200/20 = 60
Pipe T 10% of 1200 = 120 litres 120/2.4 = 50 litres/minute 1200/50 = 24

Sum of the time taken by pipe C alone and time taken by pipe E alone to fill the tank = 12 + 10 = 22 minutes
 
Sum of the time taken by pipe Q alone and time taken by T alone to empty the tank = 8 + 24 = 32 minutes
 
Required ratio = 22 : 32 = 11 : 16

Hence, option B is correct.
3
The time taken by pipes B and C together to fill the tank is how many minutes more than the time taken by pipes A, D, and E together? 
» Explain it
E
  Amount of water filled Water filled per minute Time taken to fill the tank alone(in minutes)
Pipe A 20% of 1200 = 240 litres 240/3 = 80 litres/minute 1200/80 = 15
Pipe B 15% of 1200 = 180 litres 180/3 = 60 litres/minute 1200/60 = 20
Pipe C 25% of 1200 = 300 litres 300/3 = 100 litres/minute 1200/100 = 12
Pipe D 10% of 1200 = 120 litres 120/3 = 40 litres/minute 1200/40 = 30
Pipe E 30% of 1200 = 360 litres 360/3 = 120 litre/minute 1200/120 = 10
 
  Amount of water emptied Water emptied per minute Time taken to empty the tank alone(in minutes)
Pipe P 48% of 1200 = 576 litres 576/2.4 = 240 litres/minute 1200/240 = 5
Pipe Q 30% of 1200 = 360 litres 360/2.4 = 150 litres/minute 1200/150 = 8
Pipe R 8% of 1200 = 96 litres 96/2.4 = 40 litres/minute 1200/40 = 30
Pipe S 4% of 1200 = 48 litres 48/2.4 = 20 litres/minute 1200/20 = 60
Pipe T 10% of 1200 = 120 litres 120/2.4 = 50 litres/minute 1200/50 = 24

Time taken by pipes B and C together to fill the tank

1200  =  1200  = 7.5 minutes
60 + 100 160

Time taken by pipes A, D and E together to fill the tank
1200  =  1200  = 5 minutes
80 + 40 + 120 240

So, pipes B and C together takes 2.5 minutes more than pipes A, D, and E together

Hence, option E is correct.
4
What will be the ratio of the time taken by pipes P and R together to empty the tank to the time taken by pipes Q, S, and T together to empty the tank?  
» Explain it
D
  Amount of water filled Water filled per minute Time taken to fill the tank alone(in minutes)
Pipe A 20% of 1200 = 240 litres 240/3 = 80 litres/minute 1200/80 = 15
Pipe B 15% of 1200 = 180 litres 180/3 = 60 litres/minute 1200/60 = 20
Pipe C 25% of 1200 = 300 litres 300/3 = 100 litres/minute 1200/100 = 12
Pipe D 10% of 1200 = 120 litres 120/3 = 40 litres/minute 1200/40 = 30
Pipe E 30% of 1200 = 360 litres 360/3 = 120 litre/minute 1200/120 = 10

  Amount of water emptied Water emptied per minute Time taken to empty the tank alone(in minutes)
Pipe P 48% of 1200 = 576 litres 576/2.4 = 240 litres/minute 1200/240 = 5
Pipe Q 30% of 1200 = 360 litres 360/2.4 = 150 litres/minute 1200/150 = 8
Pipe R 8% of 1200 = 96 litres 96/2.4 = 40 litres/minute 1200/40 = 30
Pipe S 4% of 1200 = 48 litres 48/2.4 = 20 litres/minute 1200/20 = 60
Pipe T 10% of 1200 = 120 litres 120/2.4 = 50 litres/minute 1200/50 = 24

The time taken by pipes P and R together to empty the tank

1200  =  30  minutes
240 + 40 7

The time taken by pipes Q, S, and T together to empty the tank
1200  =  60  minutes
150 + 20 + 50 11

Reqd. ratio =  30  :  60  = 11 : 14
7 11

Hence, option D is correct.
5
If all the inlet pipes and the outlet pipes are opened together then find the time taken to empty the full tank.
» Explain it
B
  Amount of water filled Water filled per minute Time taken to fill the tank alone(in minutes)
Pipe A 20% of 1200 = 240 litres 240/3 = 80 litres/minute 1200/80 = 15
Pipe B 15% of 1200 = 180 litres 180/3 = 60 litres/minute 1200/60 = 20
Pipe C 25% of 1200 = 300 litres 300/3 = 100 litres/minute 1200/100 = 12
Pipe D 10% of 1200 = 120 litres 120/3 = 40 litres/minute 1200/40 = 30
Pipe E 30% of 1200 = 360 litres 360/3 = 120 litre/minute 1200/120 = 10

  Amount of water emptied Water emptied per minute Time taken to empty the tank alone(in minutes)
Pipe P 48% of 1200 = 576 litres 576/2.4 = 240 litres/minute 1200/240 = 5
Pipe Q 30% of 1200 = 360 litres 360/2.4 = 150 litres/minute 1200/150 = 8
Pipe R 8% of 1200 = 96 litres 96/2.4 = 40 litres/minute 1200/40 = 30
Pipe S 4% of 1200 = 48 litres 48/2.4 = 20 litres/minute 1200/20 = 60
Pipe T 10% of 1200 = 120 litres 120/2.4 = 50 litres/minute 1200/50 = 24

Units of water emptied in one minute  = (240 + 150 + 40 + 20 + 50) – (80 + 60 + 100 + 40 + 120)  = 500 – 400  = 100 units
 
Reqd. time =  1200  = 12 minutes
100

Hence, option B is correct.

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