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Total No Of Questions:
30
.
1)
An empty cistern has three taps P, Q and R. P and Q can fill it in 3 and 4 hours respectively. R can empty it in one hour. If P, Q and R are kept opened at 1 P.M., 2 P.M., 3 P.M., respectively, find when the cistern will be empty?
a.
3:20 PM
b.
5:20 PM
c.
5:12 PM
d.
6:20 PM
2)
Two pipes P and Q can fill a cistern in 12 minutes and 18 minutes respectively. They are turned on at the same time.If the tap P is turned off after 4 minutes, how long will tap Q take to fill the rest cistern?
a.
8 min
b.
9 min
c.
7 min
d.
10 min
3)
Two pipes P and Q can fill a cistern in 12 minutes and 15 minutes respectively, while a third pipe R can empty the full cistern in 6 minutes. P and Q are kept open for 5 minutes in the beginning and then R is also opened. In what time the cistern is emptied?
a.
30 min
b.
45 min
c.
32 min
d.
33 min
4)
Two pipes P and Q can fill a cistern in 10 minutes and 15 minutes respectively. But an empty pipe R can empty it in 5 minutes. The pipes P and Q are opened for 4 minutes and then the empty pipe R is also opened. In what time is the cistern emptied?
a.
10 min
b.
20 min
c.
15 min
d.
12 min
5)
Two taps can fill an empty tank in 36 minutes and 60 minutes respectively. A third tap can empty the full tank in 90 minutes. At what time will an empty tank be filled if all the three are opened simultaneously at 8.50 A.M.?
a.
9:00 AM
b.
9:20 AM
c.
9:30 AM
d.
10:00 AM
6)
A tap can fill a cistern in 20 minutes. And another can fill it in 30 minutes. If both are opened simultaneously, find the time when the cistern will be full?
a.
10 min
b.
15 min
c.
20 min
d.
12 min
7)
One pipe can fill a tank 3 times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in________
a.
81 min
b.
144 min
c.
108 min
d.
192 min
8)
Bucket P has thrice the capacity as Bucket Q. It takes 60 turns for Bucket P to fill the empty drum. How many turns will it take for both the buckets P and Q having each turn together to fill the empty drum?
a.
30
b.
45
c.
40
d.
90
9)
A cistern normally takes 7 hours to be filled by a tap, but because of a leak it takes one hour more. In how many hours will the leak empty a filled cistern?
a.
56
b.
52
c.
50
d.
72
10)
Two pipes P and Q separately fill a cistern in 7 ½ and 5 minutes respectively and drain pipe R can carry off 14 litres per minute. If all the pipes are opened, when the cistern is full, it is emptied in one hour. How many litres does it hold?
a.
40 litres
b.
55 litres
c.
45 litres
d.
60 litres
11)
Three pipes P, Q and R are connected to a cistern. P and Q together can fill the cistern in 12 hrs, Q and R together in 20 hrs and R and P together in 15 hrs. In how much time will each pipe fill the cistern separately?
a.
10 hrs; 15 hrs; 30 hrs
b.
20 hrs; 15 hrs; 60 hrs
c.
20 hrs; 30 hrs; 60 hrs
d.
20 hrs; 30 hrs; 45 hrs
12)
Pipe P can fill an empty tank in 5 hours while pipe Q can empty the full tank in 8 hours. If both are opened in that empty tank, in how much time the tank will be filled?
a.
12 hrs
b.
13 hrs
c.
40/3 hrs
d.
None
13)
Two pipes P and Q can fill a cistern in 12 minutes and 18 minutes respectively, while a third pipe R can empty it in 9 minutes. In what time will the cistern will be full, if they all work simultaneously?
a.
30 min
b.
34 min
c.
36 min
d.
42 min
14)
Two pipes P and Q can fill a cistern in 1 hour and 75 minutes respectively. There is also an outlet R. If all the three pipes are opened together, the tank is full in 50 minutes. How much time will be taken by R to empty the full tank?
a.
50 min
b.
70 min
c.
100 min
d.
120 min
15)
Two pipes can fill half of the tank in 20 minutes. If one of the pipe fills the whole tank in 60 minutes, find the time taken by the other pipe to fill the tank individually?
a.
90 min
b.
135 min
c.
100 min
d.
120 min
16)
Two taps can fill a tank in 12 and 18 minutes respectively. Both are kept opened for 2 minutes and the first is turned off. In how many minutes more will the tank be filled?
a.
15 min
b.
20 min
c.
11 min
d.
13 min
17)
Two pipes P and Q can fill a cistern in 24 minutes and 32 minutes respectively. If both are opened simultaneously, after how much time Q should be closed, so that the tank is full in 18 minutes?
a.
12 min
b.
10 min
c.
8 min
d.
6 min
18)
An electric pump can fill a tank in 3 hours. Because of a leak, it took 3 ½ hour to fill the tank. In how much time the leak can drain the full tank?
a.
21 hrs
b.
20 hrs
c.
32 hrs
d.
25 hrs
19)
Two pipes P and Q can separately fill a cistern in 12 minutes and 15 minutes respectively. While a third pipe R can empty it in 6 minutes. The pipes P and Q are kept open for 5 minutes, then the pipe R is also opened. In what time the cistern be emptied?
a.
30 min
b.
35 min
c.
40 min
d.
45 min
20)
A tap can fill a cistern in 12 hours and another empties in 10 hours. If both are opened at the same time, how much time will it take to fill the cistern?
a.
3 hrs
b.
20 hrs
c.
5 hrs
d.
Never
21)
Two pipes P and Q can fill a cistern in 15 and 20 hours respectively, while a third pipe R can empty the full tank in 25 hours. All the three pipes are opened. After 10 hours R is closed. The tank will be full in how many hours?
a.
10 hrs
b.
12 hrs
c.
15 hrs
d.
6 hrs
22)
Two pipes P and Q can fill a cistern in 24 minutes and 32 minutes respectively. If both are opened simultaneously, after how much should Q be closed so that the tank is full in 18 minutes?
a.
8 min
b.
12 min
c.
15 min
d.
13 min
23)
Three taps can fill a cistern in 10, 15 and 18 minutes respectively. In an empty cistern all the three taps are kept open and after three minutes the third tap is closed. In how many minutes more will the cistern be full?
a.
1 min
b.
3 min
c.
2 min
d.
4 min
24)
Two pipes P and Q can separately fill a cistern in 12 minutes and 24 minutes respectively. And a waste can drain off 20 gallons per minute. If all the three pipes are opened, the tank is filled in 24 minutes. What is the capacity of the tank?
a.
360 gallons
b.
380 gallons
c.
240 gallons
d.
320 gallons
25)
Two pipes P and Q can fill a cistern in 60 minutes and 80 minutes respectively.Both the taps were opened simultaneously but Q is turned off after 20 minutes. Find the total time required to fill the cistern.
a.
20 min
b.
35 min
c.
45 min
d.
1 hr
26)
Three pipes P, Q and R can fill a tank in 6 hours. After working at it together for 2 hours, R is closed and P and Q can fill the remaining part in seven hours. The number of hours taken by R alone to fill the tank is ________
a.
10
b.
12
c.
16
d.
14
27)
A pipe can fill a tank in 20 minutes and another pipe in 30 minutes, but a third pipe can empty it in 10 minutes. The first two pipes are kept open for 8 minutes in the beginning and then the third pipe is also opened. In what time is the cistern emptied?
a.
35 min
b.
38 min
c.
40 min
d.
30 min
28)
Two pipes can fill a cistern in 20 minutes and 24 minutes respectively. And a drain pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is ________
a.
60 gallons
b.
100 gallons
c.
120 gallons
d.
180 gallons
29)
Two pipes P and Q can fill a tank in 40 and 60 minutes respectively. When the tank will be filled, if the pipes are opened in alternative minutes starting with pipe P?
a.
24 min
b.
49 min
c.
47 min
d.
48 min
30)
A tank can be filled separately by two pipes P and Q in 45 and 36 minutes respectively. A tap R at the bottom can empty the full cistern in 30 minutes. If the tap R is opened 7 minutes after the two pipes P and Q are opened, find when the tank becomes full.
a.
39 min
b.
45 min
c.
49 min
d.
59 min
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