Maths by Sumit Goyal By Sumit Goyal

15
for Unacademy Plus Subscription Use Code :” SUMITGOYALSIRBy Sumit Goyal Pipe & Cistern - I Maths by Sumit Goyal (Ex Excise Inspector) 1. A tap can empty a tank in one hour. A second tap can empty it in 30 minutes. If both the taps operate simultaneously, how much time is needed to empty the tank? एक नल िकसी ट�क को एक घंटे म खाली कर सकता है। तथा दूसरा नल इसे 30 �मनट म� खाली कर सकता है। यिद दोनो नलो को एक साथ खोल िदये जाए तो ट�क को खाली होने म� िकतना समय लगेगा। (a) 20 minutes (b) 30 minutes (c) 40 minutes (d) 45 minutes 2. A cistern can be filled with water by a pipe in 5 hours and it can be emptied by a second pipe in 4 hours. If both the pipes are opened when the cistern is full, the time in which the cistern will be emptied. एक पाइप िकसी टंक� को 5 घंटे म� पानी से भर सकता है और टंक� को कोई दूसरा पाइप 4 घंटे म� खाली कर सकता है। जब टंक� पूणतया भरी हो यिद दोनों पाइपों को खोल िदया जाये तो टंक� िकतने घंटे म� खाली हो जायेगी। (a) 5 hours (b) 20 hours (c) 15 hours (a) 20 1 2 hours 3. Two pipes A and B separately can fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time the third pipe alone can empty the cistern? दो पाइप A और B अलग-अलग िकसी टंक� को मश: 60 �मनट और 75 �मनट मे भर सकते है। टंक� क� तली म� उसको खाली करने के �लए तीसरा पाइप लगा है। यिद तीनों पाइपों को एक साथ खोल िदया जाए तो टंक� 50 �मनट म� भर जाती है। अके ला तीसरा पाइप इस टंक� को िकतने समय म� खाली कर सकता है (a) 110 minutes (b) 100 minutes (c) 120 minutes (d) 90 minutes 4. 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? एक नल िकसी ट�क को 6 घंटे म� भर सकता है। आधी टंक� भरने के बाद इसी कार के तीन और नल खोल िदये जाते है। टंक� को पूरा भरने म� कु ल िकतना समय लगेगा। (a) 4 hrs (b) 4 hrs 15 min (c) 3 hrs 15 min (d) 3 hrs 45 min 5. Having the same efficiency of 9 taps fill up a water tank in 20 minutes. How many taps of the same efficiency are required to fill up the same water tank in 15 minutes? एक समान �मता के 9 नल एक पानी क� टंक� को 20 �मनट मभरते है। उसी �मता के िकतने नलों क� आव�कता होगी जो उस पानी क� टंक� को 15 �मनट म� भर सकते है। (a) 10 (b) 12 (c) 15 (d) 18 6. Two taps separately can fill a tank in 6 and 4 hours respectively. If both the taps are opened together for 1 1 2 hours then what part of the tank will fill? दो नल अलग-अलग एक हौज को मशः 6 घंटे तथा 4 घंटे म� भर सकता है। यिद दोनों को एक साथ 1 1 2 घंटे तक खुला छोड़ िदया जाए, तो हौंज का कौन-सा भाग भर जाएगा? (a) 7 12 (b) 3 10 (c) 5 8 (d) 3 5 7. Two taps A and B separately can fill a tank in 25 and 30 minutes respectively. If taps A fills

Transcript of Maths by Sumit Goyal By Sumit Goyal

By Sumit Goyal
Pipe & Cistern - I
Maths by Sumit Goyal (Ex Excise Inspector)
1. A tap can empty a tank in one hour. A second tap can empty it in 30 minutes. If both the taps operate simultaneously, how much time is needed to empty the tank? 30 (a) 20 minutes (b) 30 minutes (c) 40 minutes (d) 45 minutes
2. A cistern can be filled with water by a pipe in 5 hours and it can be emptied by a second pipe in 4 hours. If both the pipes are opened when the cistern is full, the time in which the cistern will be emptied. 5 4 (a) 5 hours (b) 20 hours
(c) 15 hours (a) 201 2
hours
3. Two pipes A and B separately can fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time the third pipe alone can empty the cistern? A B - : 60 75 50
(a) 110 minutes (b) 100 minutes (c) 120 minutes (d) 90 minutes
4. 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? 6 (a) 4 hrs (b) 4 hrs 15 min (c) 3 hrs 15 min (d) 3 hrs 45 min
5. Having the same efficiency of 9 taps fill up a water tank in 20 minutes. How many taps of the same efficiency are required to fill up the same water tank in 15 minutes? 9 20 15 (a) 10 (b) 12 (c) 15 (d) 18
6. Two taps separately can fill a tank in 6 and 4 hours respectively. If both the taps are opened
together for 11 2
hours then what part of the tank will fill? - 6 4
11 2
, - ?
(a) 7 12
(b) 3 10
(c) 5 8
(d) 3 5
7. Two taps A and B separately can fill a tank in 25 and 30 minutes respectively. If taps A fills
By Sumit Goyal
Pipe & Cistern - I
Maths by Sumit Goyal (Ex Excise Inspector)
water at the rate of 120 litres/minute then how many litres water per minute filled by B? A 25 B 30 - A 120 , B ? (a) 200 (b) 75 (c) 80 (d) 100
8. Two pipe A and B can fill a cistern in 36 and 45 hours. Both the pipe open together then how much time will be taken to filled the tank? A B 36 45 ? (a) 20 hours (b) 40 hours (c) 25 hours (d) 18 hours
9. A pipe can fill a cistern in 8 hours. And another can empty it in 16 hours. If both the pipe open together. Then the cistern will fill in how many hours? 8 16 ? (a) 4 hours (b) 6 hours (c) 16 hours (d) 10 hours
10. A pipe can fill cistern in x hours. And another can empty it in y hours. They can together fill it in how many hours. If y > r. x y ? y > x (a) xy/y-x (b) xy/x-y (c) xy/xty (d) x/x+y
11. A pipe of diameter ‘d’ can drain a certain water tank in 40 minutes. The time taken by a pipe of diameter 2d' for doing the same job in ? d 40 2d 1 (a) 5 minutes (b) 10 minutes (c) 20 minutes (d) 80 minutes
12. 12 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres? 12 13.5 9 ? (a) 8 (b) 15 (c) 16 (d) 18
13. 3 5
part of a tank filled in 10 minute. then how much time will take to fill the rest part?
3 5
10 ?
(a) 5 minutes (b) 61 3
minutes
minutes (d) 6 minutes
14. A tap can fill a cistern in 8 hours. when the cistern half-filled then same four more tap opened, then to fill full cistern how much time will be consume? 8 , 4 , ? (a) 4 hours (b) 5 hours (c) 4 hours 48 minute (d) 3 hours
By Sumit Goyal
Pipe & Cistern - I
Maths by Sumit Goyal (Ex Excise Inspector)
15. A tap can fill an empty tank in 12 hours and another tap can empty half the tank in 10 hours. If both the taps are opened simultaneously, how long would it take to fill the 1/2 part of the empty tank? 12 10 (a) 10 hrs (b) 30 hrs (c) 15 hrs (d) 20 hrs
16. A tank has two pipes. The first pipe can fill it in 4 hours and the second can empty it in 16 hours. If two pipes be opened together at the same time, then the tank will be filled in 4 16
(a) 51 2
hours
17. A pump can fill a tank with water in 21 3
hours. because of a leak in the tank it was taking 2 hours to fill the tank. The leak can drain all the water of the tank in how many hrs. 2
21 3
, (a) 8 hours (b) 7 hours (d) 14 hours (c) 45 hours
18. A tap can fill a cistern in 40 minutes and a second tap can empty the filled cistern in 60
minutes. By mistake without closing the second tap, the first tap was opened. In how many minutes will the empty cistern be filled? 40 60 (a) 72 (b) 84 (c) 108 (d) 120
19. A cistern is normally filled in 8 hours but it takes, another 2 hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in: : 8 2 (a) 16 hours (b) 20 hours (c) 25 hours (d) 40 hours
20. Two pipe alone can fill a cistern in 10 minute and 15 minute respectively and when the outlet pipe opened then they together fill it in 18 minute, outlet pipe will empty the full tank in how much time? - : 10 15 18 ? (a) 9 minutes (b) 12 minutes (c) 6 minutes (d) 15 minutes
21. There is a leak in the bottom of a cistern. When the cistern is thoroughly repaired, it would be
By Sumit Goyal
Pipe & Cistern - I
Maths by Sumit Goyal (Ex Excise Inspector)
filled in 4 minutes. Before repaired it took 16 minutes. And the cistern is full, then how long would the leak take to empty the cistern? 4 16 ?
(a) 52 3
minutes (d) 5 minutes
22. A tap takes 36 hours extra to fill a tank due to a leakage. while capacity of leakage equivalent to half of its inlet. The inlet can fill the tank in how many hours? 36 (a) 36 hours (b) 24 hours (c) 30 hours (d) 18 hours
23. A pipe can fill a tank in 15 hrs. Due to leakage in the bottom, it is filled in 40 hrs. If the tank is full, how much time the leakage take to empty it? 15 40 , ? (a) 48 hrs. (b) 45 hrs. (c) 24 hrs. (d) 72 hrs.
24. There are two pumps to fill a tank with water. First pump can fill the empty tank in 8 hours while the second in 10 hrs. If both the pumps
are opened at the same time and kept open for 3 hours, the part of tank that will be filled up is? 8 10 3 , ?
(a) 27 40
(b) 1 10
(c) 2 5
(d) 1 5
25. A tap can fill a tank in 16 mintues and another can empty it in 8 mintues. If the tank is already half full and both the tap are opened together, the tank will be? 16 8 ? (a) Filled in 12 minutes (b) Emptied in 12 minutes (c) Filled in 8 minutes (d) Emptied in 8 minutes
26. A cistern can be filled in 9 hrs but it takes 12 hrs due to a leak in its bottom. If the cistern is full, then time that the leak will take to empty it is? 9 12 , ? (a) 60 hrs. (b) 70 hrs. (c) 80 hrs. (d) 36 hrs.
27. A cistern is filled in 5 hours and it takes 6 hours when there is a leak in its bottom. If the cistern is full, in what time shall the leak empty it?
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5 6 , ? (a) 6 hrs. (b) 5 hrs. (c) 30 hrs. (d) 15 hrs.
28. A tank with capacity of T litres is empty. If water flows into the tank from pipe X at the rate of 'x' litres per minute and water is pumped out by Y at the rate of y litres per minute and x >y, then in how many minutes will the tank be filled? T X 'x' Y 'y' x > y ? (a)(x – y) 60 T (b) (T – x) y
(c) (−)
(d) (−)
29. To fill a water cistern there are two pipe A and
B. If both the pipe open, then cistern can fill in 40 minute. If pipe A open only same cistern fill in 60 minute. If pipe B open only then to fill the cistern how much time will take? A B , 40 A , 60 B ? (a) 64 minutes (b) 80 minutes (c) 96 minutes (d) 120 minutes
30. A water tap fills a tub in 'p' hours and a sink at the bottom empties it in 'q' hours. If p < q and
both tap and sink are open, the tank is filled in 'r' hours, then p (p < q) r
(a) 1
= 1 − 1
(b) 1
(c) r = p + q (d) r = p – 4
31. Two pipes A and B can fill a cistern in 371 2
minutes and 45 minutes respectively. Both pipes are opened. then to fill the cistern is half an hour, the pipe B is turned off after
A B 371 2
45 B (a) 15 minutes (b) 10 minutes (c) 5 minutes (d) 9 minutes
32. Three taps A, B and C together can fill an empty cistern in 10 minutes. The tap A alone can fill it in 30 minutes and the tap B alone in 40 minutes. How long will the tap C alone take to fill it? A, B C 10 A 30 B 40 C (a) 16 minutes (b) 24 minutes (c) 32 minutes (d) 40 minutes
33. Pipes P and Q can fill a tank in 10 hours and 12 hours respectively and C can empty it in 6
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hours. If all the three are opened at 7 am, at what time will one-fourth of the tank be filled? P Q 10 12 C, 6 7
1 4
(a) 10 am (b) 10 pm (c) 11 pm (d) 11 am
34. Two pipes A and B can fill a cistern in 3 hours and 5 hours respectively. Pipe C can empty it in 2 hours. If all the Three pipes are open together then, in how many hours the cistern will be full? A B - 3 5 C,2 (a) Can't be filled (b) 10 hours (c) 15 hours (d) 30 hours
35. Two pipes A and B can fill a tank in 5 and 6 hours respectively and third pipe C can empty the full tank in 12 hours. If half of the tank is filled then all the three pipes will fill the tank full in how many hours? A B : 5 6 C 12 , ?
(a) 3 3 19
hours (b) 11 hours
(c) 2 8 11
hours (d) 113 17
hours
36. Two pipe are in a cistern. Which can fill it in 10 hours and 12 hours respectively. Both the
pipe open together but there is also a leakage
in this bottom and the cistern filled in 7 1 17
hours. If the cistern is full then the leakage alone will empty it in how much hours? 10 12
7 1 17
? (a) 25 hours (b) 24 hours (c) 22 hours (d) 20 hours
37. If three pipe A, B and C open together then a cistem filled in 12 hours. In which pipe A can fill it in 10 hours and another one B pipe can fill. It in 15 minute then the third pipe C working like what? 12 A 10 B 15 C (a) fill in 18 hrs (b) empty in 12 hrs (c) empty in 18 hrs (d) empty in 15 hrs
38. If three taps are opened together, then a tank is filled in 18 hrs. One of the taps can fill it in
15 hrs and another in 221 2
hrs. How does the third tap work? 18 15
221 2
? (a) 16 hrs, full pipe (b) 18 hrs, fill pipe (c) 18 hrs, waste pipe (d) 16 hrs, waste pipe
By Sumit Goyal
Pipe & Cistern - I
Maths by Sumit Goyal (Ex Excise Inspector)
39. Two pipes can fill a cistern in 8 hours and 10 hours respectively. The pipes are opened simultaneously and it is found that due to
leakage in the bottom 2 9 hrs extra are taken for
the cistern to be filled up. If the cistern is full, in what time would the leak empty it? 8 10
2 9
?
(a) 90hrs (b) 931 3
hrs
hrs
40. There are two taps to fill a tank and a third to empty it. When the third tap is closed, then first two taps can fill the tank in 10 minutes and 12 minutes, respectively. If all the three taps be opened, the tank is filled in 15 minutes. If the first two taps are closed, in what time can the third tap empty the tank when it is full? , 10 12 15 , ? (a) 8 min and 34 sec (b) 9 min and 32 sec (c) 7 min (d) 6 min
41. A cistern has two taps which fill it in 12 minutes and 15 minutes respectively. There is also a waste pipe in the cistern. When all the three pipes are opened, the empty cistern is full
in 20 minutes. How long will the waste pipe take to empty the full cistern? 12 15 20 ? (a) 5 minutes (b) 10 minutes (c) 15 minutes (d) 20 minutes
42. Two pipes can fill a cistern in 14 hours and 16 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom it took 32 minutes more to fill the cistern. When the cistern is full, in what time will the leak empty it? : 14 16 32 ? (a) 56 (b) 112 (c) 80 (d) 18
43. Two pipe attached A and B in cistern. Which can fill in 32 and 48 minute respectively. Third pipe C can empty it in 4 minute. If after open first and second pipe for 5 and 8 minute respectively, C also open, then in how many minute cistern will be empty? 2 A B 32 48 C 4 5 8 C , ?
(a) 30 17
(b) 31 19
(c) 31 21
(d) 43 40
By Sumit Goyal
Pipe & Cistern - I
Maths by Sumit Goyal (Ex Excise Inspector)
44. Pipe A and B can fill a cistern in 10 hours and 15 hours respectively. When a third pipe C which works as an outlet pipe is also open then the cistern can be filled in 18 hours. The outlet pipe can empty full cistem in? A B 10 15 C 18 ? (a) 12 hours (b) 8 hours (c) 9 hours (d) 14 hours
45. 3 4
part of a cistern can filled by tap A in 12
minutes and 2 3
part of the same cistern can filled by tap B in 6 minutes. If both the taps are opened for 4 minutes. Then approx what percent part of the cistern will fill?
3 4
12
2 3
6 4 ? (a) 70% (b) 75% (c) 80% (d) 64%
46. A keg is fitted with 3 taps A, B and C. All the three taps, if opened together, can drain the
full keg in 11 2
minutes. Taps B and C together take 2 minutes to drain the keg while taps A
and C together take 2 4 13
minutes to drain it. How long will taps A and B together take to drain the keg? ,
11 2
B C 2
A C 2 4 13
A B ?
(a) 21 2
min
47. Tap A can fill 4 5
part of a tank in 20 minute and rest with the help of B in next 3 minute. B alone can fill in how much time?
A 4 5
20 B 3 B ?
(a) 371 2
minutes (b) 38 minutes (c) 37 minutes (d) 15 minutes
48. Three pipes A, B and C are connected to a tank. A and B together can fill the tank in 60 minutes, B and C together in 40 minutes and C and A together in 30 minutes. In how much time will each pipe fill the tank separately? A, B C A B 60 B C 40 C A 30 - ? (a) 80 min, 240 min, 48 min (b) 40 min, 120 min, 24min (c) 60 min, 250 min, 64min (d) 20 min, 40 min, 60 min
49. Three pipes A, B and C are connected to a tank. A and B together can fill the tank in 12 hr. B and C together in 8 hrs and C and A together in 6 hrs. In how much time will each pipe fill the tank separately?
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A, B C A B 12 B 8 C A 6 - ?
(a) 16 hrs, 48 hrs, 93 5
hrs
hrs
hrs
hrs
50. Two inlet pipes (A+B) together can fill a tank in 6 hours, pipe (B+C) together can fill a tank in 10 hours and pipe (A+C) together can fill a tank in 7.5 hours. (A+B+C) together can fill tank in what time? A B 6 B C 10 , A, C 7.5 ? (a) 3 hrs (b) 4 hrs (c) 2 hrs (d) 5 hrs
51. Two pipes, P and Q can fill a cistern in 12 minutes and 15 minutes respectively. Both are opened together, but at the end of 3 minutes, P is turned off. In how many more minutes Q will take to fill the cistern? P 12 15 3 P Q
(a) 7 minutes (b) 71 2
minutes
minutes
52. A tank can be filled by pipe A in 2 hours and by pipe B in 6 hours. At 10 A.M pipe A was
opened. At what time will the tank be filled if pipe B is opened at 11A.M? A 2 B 6 10 A B 11 (a) 12.45 A.M. (b) 5 P.M. (c) 11.45 A.M. (d) 12 P.M.
53. Pipe A can fill the tank in 8 hours and pipe B can fill it in 12 hours. If Pipe A is opened at 7:00 am and Pipe B is opened at 9:00 am then at what time will the tank be full? A 8 B 12 A 7:00 B 9:00 (a) 12:00 pm (b) 12:30pm (c) 11:48 pm (d) 12:36 pm
54. A tank is fitted with two taps. The first tap can fill the tank completely in 45 minutes and the second tap can empty the full tank in one hour. If both the taps are opened alternately for one minute, then in how many hours the empty tank will be filled completely? , 45 1 - (a) 2 hrs 55 minutes (b) 4 hrs 48 min (c) 5 hrs 53 min (d) 3 hrs 40 min
By Sumit Goyal
Pipe & Cistern - I
Maths by Sumit Goyal (Ex Excise Inspector)
55. A cistern is provided with two pipes A and B. A can fill it in 20 minutes and B can empty it in 30 minutes. If A and B be kept open alternatively for one minute each. How soon will the cistern be filled? A B A 20 B 30 A B - , (a) 121 minutes (b) 110 minutes (c) 115 minutes (d) 120 minutes
56. Two taps A and B separately can fill a tank in 12 minutes and 15 minutes respectively while the third tap can empty the full tank in 20 minutes. In I" minute A and C together, second minute B and C together and third minute again A and C together and go on to fill the tank. the whole tank will be full in how many minute. A B - 12 15 C 20 A C, B C, A C ? (a) 36 minutes (b) 40 minutes (c) 45 minutes (d) 48 minutes
57. There are three pipe A, B and C in a cistern. A and B can fill it in 20 hours and 30 hours respectively. And C can empty it in 60 hours. A and C open for first hours. Second hours B and C and again open A and C for third hours And this process running till the Cistern filled.
How much time will be to fill the complete cistern. A, B C A B 20 30 C 60 A C B C A C ? (a) 50 hrs (b) 30 hrs (c) 40 hrs (d) 20 hrs
58. A, B and C time pipes attached to a cistern. A and B can fill it in 20 and 30 minutes respectively, while C can empty| it in 15 minutes. If A, B and C be kept open successively for 1 minute each, how soon will the cistern be filled? A, B C A B 20 30 C 15 A, B C - 1 ? (a) 167 min (b) 160 min (c) 166 min (d) 164 min
59. 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 and C are open for one hour each alternatively, the tank will be full in? A, B C 12, 15 20 A B C - - (a) 6 hours (b) 2 hours (c) 8 hours (d) 7 hours
By Sumit Goyal
Pipe & Cistern - I
Maths by Sumit Goyal (Ex Excise Inspector)
60. An empty tank can be filled by pipe A in 4 hours and by pipe B in 6 hours. if the two pipes are opened for 1 hour each alternately with first opening pipe A, then the tank will be filled in? A 4 B,6 - - , A (a) 1 hours (b) 2 hours
(c) 4 hours (d) 42 3
hours
61. Pipe A can fill a tank in 5 hours and pipe B can fill it in 15 hours, if they are opened in alternate hour first hour open A and Second hour B and so on then in how many hours, the tank shall be full? A 5 B, 15 - , A (a) 7 hours (b) 6 hours (c) 3 hours (d) 8 hours
62. A pipe can fill a tank in 10 minutes while another pipe can empties it in 12 minutes. If both pipes are opened alternatively for each minute, beginning with first pipe, in how much time will the empty tank be full? 10 12 - , ? (a) 120 minute (b) 108 minute (c) 118 minute (d) 109 minute
63. Two taps P and Q can each fill an empty tank in 15 min and 20 min respectively. A third tap R can empty the full tank in 30 min. If all three of them operate alternately in the order P, Q and R for one minute each, starting with P, in how much time will an empty tank be filled? P Q 15 20 R 30 P, Q R - - P ? (a) 34 min (b) 35 min
(c) 341 3
min (d) 36 min
64. Tap A fills a tank in 4 hours whereas tap B empties the full tank in 24 hours. A and B are opened alternately for 1 hours each. Every 2 hours the level of water is found to increase by 0.5 m. The depth of the tank is? A 4 , B 24 A B 1 - 0.5 ? (a) 2.4 m (b) 4.32 m (c) 6.4 m (d) 24 m
65. Three pipe A, B and C can fill a cistern in 40, 60 and 30 minute respectively. A open starting and after every third minute B and C also open. What will be the time to fill the full tank? A, B C 40 , 60 30 A B C ? (a) 18 minute (b) 32 minute (c) 26 minute (d) 24 minute
By Sumit Goyal
Pipe & Cistern - I
Maths by Sumit Goyal (Ex Excise Inspector)
66. Pipe A can fill a tank in 6 hours outlet pipe B can empty the tank in 15 hours. Both pipes work alternately, Ist hour-A, 2nd hour-B and so on. In how many hours tank will be filled? A 6 B 15 A B - ? (a) 30 hrs (b) 18 hrs 36 min (c) 40 hrs (d) 15 hrs 20 min
67. Inlet pipe A can fill a tank in 12 hours and B can empty it in 15 hours. Both pipes are opened alternately 1st hours A, 2nd hours B. In how many hours tank will be filled? A 12 B 15 A. B - , ? (a) 111 hrs (b) 30 hrs (c) 140 hrs (d) 40 hrs
68. Pipe A can fill 25% of the tank in 1 hour, Pipe B can expel 10% of tank in 1 hour. Both pipes are opened alternately. Ist hour-A, IInd hour- Band so on. In first 5 hour How much % tank is filled ? A 25% B 10% A B - 5 ? (a) 55% (b) 96% (c) 98% (d) 97%
69. Three pipes A, B and C together can fill a tank in 12 hours. All the three pipes are opened
together. after 4 hours, the pipe C is closed and A and B fill the remaining part in 14 hours. C alone can fill the empty tank in. A, B C 12 4 C A B 14 C (a) 20 hours (b) 24hours (c) 30 hours (d) 28 hours
70. Two pipe can fill a cistern in 18 minute and 24 minute respectively. Both are open together and after sometime pipe A close. If the full cistern filled in 16 minute then after how many minute tap A close. 18 24 - A 16 A (a) 6 minute (b) 4 minute (c) 8 minute (d) 5 minute
71. Three pipe A, B and C can fill a cistern in 8 hours. After working 4 hours together pipe C close and A and B can Fill it in 12 hours. How much time will take the pipe C to fill the cistern? A, B C 8 4 C A B 12 C ? (a) 12 hrs (b) 21 hrs (c) 9 hrs (d) 15 hrs
72. Three taps A, B and C can fill a cistern in 10, 15 and 20 minutes respectively. They are all
By Sumit Goyal
Pipe & Cistern - I
Maths by Sumit Goyal (Ex Excise Inspector)
turned on at once, but after 3 minutes pipe C is turned off. How many minutes longer will A and B take to fill the cistern? A,B C 10, 15 20 3 C A B ? (a) 2 min (b) 2 min 6 sec (c) 1 min 6 sec (d) 3 min 8 sec
73. Two pipes, P and Q can fill a cistern in 12 minutes and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer with the rest cistern take to fill? P Q 12 15 3 ?
(a) 81 4
minutes
74. Two fill pipes A and B can fill a cistern in 6 and 8 minutes respectively. Both fill pipes are opened together, but 2 minutes before the cistern is full, pipe A is closed. How much time will the cistern take to fill? 6 8 2 A ?
(a) 44 7
minutes
75. Two pipe fill a tank in 15 hours and 20 hours respectively. A third pipe empties the full tank in 24 hours. If they are turned on at the same time and after 10 hours the third pipe be turned off, in how many hours will tank fill? 15 20 24 10 , ?
(a) 12 hours (b) 121 7
hours (c) 14 hours (d) 16 hours
76. Two pipes A and B can fill a cistern in 7 & 12 min respectively. Both pipes are opened together, but 3 min before the cistern is full, one pipe A is closed. How much time will the cistern take to fill. B 7 12 3 A ?
(a) 44 7
min (d) 6 6 19
min 77. Three pipe A, B and C can fill a cistern in 6
minute, 8| minute and 24 minute respectively. All three pipe open together in empty tank and C close before 2 minute to fill the tank. How much time will be fill the cistern? A, B C 6 , 8 24 , C 2 ? (a) 4 minutes 20 second (b) 5 minutes (c) 3 minutes 15 second (d) 3 minutes 40 second
By Sumit Goyal
Pipe & Cistern - I
Maths by Sumit Goyal (Ex Excise Inspector)
78. Two inlet pipes A and B can fill a tank 20 min and 30 min respectively. If both pipes are opened together and after 9 minutes pipe B is closed, then pipe A fill the rest of tank. Find in what time period the rest tank is filled ? A B 20 30 , 9 B , A ? (a) 14 minute (b) 15 minute (c) 5 minute (d) 17 minute
79. 3 inlet pipes can fill a tank in respectively 15, 20 and 30 hours. all 3 pipes are opened together After 4 hours pipe A is closed and next after 4 hours pipe B is closed. Rest tank filled by C alone in how many time? A, B C : 15 , 20 30 4 A 4 ' B C ? (a) 2 hrs (b) 4 hrs (c) 3 hrs (d) 5 hrs
80. A pipe can fill a cistern in 12 minute. And another pipe fill it in 15 minute. But a another pipe can empty it in 6 minute. In the beginning first two are open for 5 minute and third pipe also open. Then how many minute will be to empty cistern? 12 15
6 , 5 ? (a) 38 (b) 22 (c) 42 (d) 45
81. A pipe can fill a cistern in 16 min and another pipe can fill it in 20 min, but a third pipe can empty it in 6 min. The first two pipes are kept open for 7 min in the beginning and then the third pipe is also opened. Time taken to empty the cistern is? 16 20 6 7 ? (a) 38 min (b) 22 min
(c) 42 min (d) 14 7 13
min
82. Two inlet pipes A and B can fill a tank in 30 min. For Ist 16 min. pipe A work alone and rest fill by pipe B alone in 44 min. Find in how many minutes A and B alone can fill the tank? A B 30 16 A B 44 A B- ? (a) 40, 80 m (b) 60, 60 m (c) 30, 90m (d) 80, 40 m
By Sumit Goyal
Pipe & Cistern - I
Maths by Sumit Goyal (Ex Excise Inspector)
Answer Key 01=a 02=b 03=b 04=d 05=b 06=c 07=d 08=a 09=c 10=a 11=b 12=d 13=b 14=c 15=b 16=d 17=c 18=d 19=d 20=a 21=c 22=a 23=c 24=a 25=d 26=d 27=c 28=c 29=d 30=b 31=d 32=b 33=b 34=d 35=d 36=b 37=b 38=c 39=b 40=a 41=b 42=b 43=b 44=c 45=a 46=a 47=a 48=a 49=a 50=d 51=d 52=c 53=d 54=c 55=c 56=b 57=c 58=a 59=d 60=d 61=a 62=d 63=c 64=a 65=d 66=b 67=a 68=a 69=d 70=a 71=a 72=b 73=a 74=a 75=b 76=d 77=c 78=c 79=a 80=d 81=d 82=b