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SBI PO Exam Quantitative Aptitude Study Material

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Pipes and Cisterns

Pipe A alone can fill a tank in 8 hours. Pipe B alone can fill it in 6 hours. If both the pipes are opened and after 2 hours pipe A is closed, then the other pipe will fill the tank in

a) 6 hours
b) 3.5 hours
c) 4 hours
d) 2.5 hours

✔Answer

✔Solution

Correct Answer Is : 2.5 hours

Solution Is :

Water is flowing at the rate of 5 km/h through a pipe of diameter 14 cm into a rectangular tank which is 50 m long, 44m wide. The time taken, in hours, for the rise in the level of water in the tank to be 7 cm is

a) 2
b) 1.5
c) 3
d) 2.5

✔Answer

✔Solution

Correct Answer Is : 2

Solution Is : diameter of pipe is 14cm or 14/100 m then radius is 7/100m water is flowing at rate of 5km/h or 5000m/h then water flow in 1h= (2250007*7)/(7**100100) = 77 cube m rectangular tank is 50m long and 44m wide and height will be 7cm or 7/100m volume of tank= (50447)/100 =154 cube m77cube m water take time to flow= 60minute 1 cube m water take time to flow= 60/77 minute 154 cube m water take time to flow= (60*154)/77 minute =120minuteor =2hour.

Water flows into a tank which is 200mlong and 150mwide, through a pipe of cross-section 0.3m × 0.2m at 20 km/hour. Then the time (in hour) for the water level in the tank to each 8cm is

a) 50
b) 120
c) 150
d) 200

✔Answer

✔Solution

Correct Answer Is : 200

Solution Is : Water supplied by pipe in 1 hour =(0.3 × 0.2 ×20 × 1000) cubicmeter = 1200 cubic metre Therefore Total time =( Volume of water to be filled in the tank )/1200 =(200 150 8)/1200 = 200 hours

Two equal vessels are filled with the mixture ofwater and milk in the ratio of 3:4 and 5:3 respectively. If the mixtures are poured into a third vessel, the ratio of water and milk in the third vessel will be

a) 15:12
b) 53:59
c) 20:9
d) 59:53

✔Answer

✔Solution

Correct Answer Is : 59:53

Solution Is : Let the capacity of each vessel = 1 litre.
In First Vessel, Water= 3 /7 litre :Milk= 4/7 litre.
In Second Vessel, Water= 5 /8 litre ; Milk= 3/8 litre. In 2 litres of mixture, Water : milk
Therefore water : milk = 59 : 53

Pipe A is an inlet pipe filling the tank at 800 l/hr. Pipe B empties the tank in 3 hours. The capacity of the tank is

a) 12000 l
b) 8000 l
c) 6000 l
d) 4000 l

✔Answer

✔Solution

Correct Answer Is : 12000 l

Solution Is : Pipe A is an inlet pipe filling the tank at 800 l/hr. Pipe B empties the tank in 3 hours. The capacity of the tank is 1200 l

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

a) 5minutes
b)
c)
d)

✔Answer

✔Solution

Correct Answer Is :

Solution Is :

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

a) X-y
b) Y-x
c) Xy/x-y
d) Xy/y-x

✔Answer

✔Solution

Correct Answer Is : Xy/y-x

Solution Is : Work done by A in one hour =1/x
work done by B in one hour=1/y
Both A and B together work in one hour=(1/x)-(1/y) =(y-x)/xy.
Both A and B fill tank in xy/(y-x) hours.

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

a) 18 minutes
b) 14 minutes
c) 15 minutes
d) 30 minutes

✔Answer

✔Solution

Correct Answer Is : 18 minutes

Solution Is : Work done by 1st tap in one minute =1/30
work done by 2nd tap in one minute =1/45
Both taps one minute work =(1/30)+(1/45)
=(45+30)/1350
=75/1350 =1/18.
Both tap will empty the tank in 18 minutes.

Water is flowing at the rate of 3 km/hr through a circular pipe of 20 cm internal diameter into a circular cistern of diameter 10m and depth 2m. In how much time will the cistern be filled ?

a) 1 hour
b) 1 hour 40 minutes
c) 1 hour 20 minutes
d) 2 hours 40 minutes

✔Answer

✔Solution

Correct Answer Is : 1 hour 40 minutes

Solution Is :

An empty pool being filled with water at a constant rate takes 8 hours to fill 3/5 th of its capacity. How much more time will it take to finish filling the pool ?

a) 4 hours 50 minutes
b) 5 hours 30 minutes
c) 5 hours 20 minutes
d) 4 hours 48 minutes

✔Answer

✔Solution

Correct Answer Is : 5 hours 20 minutes

Solution Is :

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SBI PO Exam Quantitative Aptitude Study Material

Pipes and Cisterns

Pipe A alone can fill a tank in 8 hours. Pipe B alone can fill it in 6 hours. If both the pipes are opened and after 2 hours pipe A is closed, then the other pipe will fill the tank in

Correct Answer Is : 2.5 hours

Solution Is :

Water is flowing at the rate of 5 km/h through a pipe of diameter 14 cm into a rectangular tank which is 50 m long, 44m wide. The time taken, in hours, for the rise in the level of water in the tank to be 7 cm is

Correct Answer Is : 2

Water flows into a tank which is 200mlong and 150mwide, through a pipe of cross-section 0.3m × 0.2m at 20 km/hour. Then the time (in hour) for the water level in the tank to each 8cm is

Correct Answer Is : 200

Solution Is : Water supplied by pipe in 1 hour =(0.3 × 0.2 ×20 × 1000) cubicmeter = 1200 cubic metre Therefore Total time =( Volume of water to be filled in the tank )/1200 =(200 *150 * 8)/1200 = 200 hours

Two equal vessels are filled with the mixture ofwater and milk in the ratio of 3:4 and 5:3 respectively. If the mixtures are poured into a third vessel, the ratio of water and milk in the third vessel will be

Correct Answer Is : 59:53

Solution Is : Let the capacity of each vessel = 1 litre. In First Vessel, Water= 3 /7 litre :Milk= 4/7 litre. In Second Vessel, Water= 5 /8 litre ; Milk= 3/8 litre. In 2 litres of mixture, Water : milk Therefore water : milk = 59 : 53

Pipe A is an inlet pipe filling the tank at 800 l/hr. Pipe B empties the tank in 3 hours. The capacity of the tank is

Correct Answer Is : 12000 l

Solution Is : Pipe A is an inlet pipe filling the tank at 800 l/hr. Pipe B empties the tank in 3 hours. The capacity of the tank is 1200 l

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

Correct Answer Is :

Solution Is :

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

Correct Answer Is : Xy/y-x

Solution Is : Work done by A in one hour =1/x work done by B in one hour=1/y Both A and B together work in one hour=(1/x)-(1/y) =(y-x)/xy. Both A and B fill tank in xy/(y-x) hours.

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

Correct Answer Is : 18 minutes

Solution Is : Work done by 1st tap in one minute =1/30 work done by 2nd tap in one minute =1/45 Both taps one minute work =(1/30)+(1/45) =(45+30)/1350 =75/1350 =1/18. Both tap will empty the tank in 18 minutes.

Water is flowing at the rate of 3 km/hr through a circular pipe of 20 cm internal diameter into a circular cistern of diameter 10m and depth 2m. In how much time will the cistern be filled ?

Correct Answer Is : 1 hour 40 minutes

Solution Is :

An empty pool being filled with water at a constant rate takes 8 hours to fill 3/5 th of its capacity. How much more time will it take to finish filling the pool ?

Correct Answer Is : 5 hours 20 minutes

Solution Is :

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Solution Is : Water supplied by pipe in 1 hour =(0.3 × 0.2 ×20 × 1000) cubicmeter = 1200 cubic metre Therefore Total time =( Volume of water to be filled in the tank )/1200 =(200 150 8)/1200 = 200 hours

Solution Is : Let the capacity of each vessel = 1 litre.
In First Vessel, Water= 3 /7 litre :Milk= 4/7 litre.
In Second Vessel, Water= 5 /8 litre ; Milk= 3/8 litre. In 2 litres of mixture, Water : milk
Therefore water : milk = 59 : 53

Solution Is : Work done by A in one hour =1/x
work done by B in one hour=1/y
Both A and B together work in one hour=(1/x)-(1/y) =(y-x)/xy.
Both A and B fill tank in xy/(y-x) hours.

Solution Is : Work done by 1st tap in one minute =1/30
work done by 2nd tap in one minute =1/45
Both taps one minute work =(1/30)+(1/45)
=(45+30)/1350
=75/1350 =1/18.
Both tap will empty the tank in 18 minutes.