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This section includes 105 Mcqs, each offering curated multiple-choice questions to sharpen your Aptitude knowledge and support exam preparation. Choose a topic below to get started.
51. |
Taps A, B and C are attached with a tank and velocity of water coming through them are 42 L/h, 56 L/h and 48 L/h, respectively. A and B are inlets and C is outlet. If all the taps are opened simultaneously, tank is filled in 16 h. What is the capacity of the tank? |
A. | 2346 L |
B. | 1600 L |
C. | 800 L |
D. | 960 L |
Answer» D. 960 L | |
52. |
Two taps A and B can fill a tank in 25 min and 20 min, respectively. But taps are not opened properly so the taps A and B allow 5/6th and 2/3rd part of water, respectively. How long will they take to fill the tank? |
A. | 12 min |
B. | 13 min |
C. | 14 min |
D. | 15 min |
Answer» B. 13 min | |
53. |
Two taps A and B can fill a tank in 20 min and 30 min, respectively. An outlet pipe C can empty the full tank in 15 min. A, B and C are opened alternatively, each for 1 min. How long will the tank take to be filled? |
A. | 105 min |
B. | 120 min |
C. | 167 min |
D. | 185 min |
Answer» D. 185 min | |
54. |
A cistern can be filled up in 4 h by an inlet A. An outlet B can empty the cistern in 8 h. If both A and B are opened simultaneously, then after how much time will the cistern get filled? |
A. | 5 h |
B. | 7 h |
C. | 8 h |
D. | 6 h |
Answer» D. 6 h | |
55. |
A tap can fill an empty tank in 12 h and a leakage can empty the tank in 20 h. If tap and leakage both work together, then how long will it take to fill the tank? |
A. | 25 h |
B. | 40 h |
C. | 30 h |
D. | 35 h |
Answer» D. 35 h | |
56. |
Three taps A, B and C together can fill an empty cistern in 10 min . The tap A alone can fill it in 30 min and the tap B alone can fill it in 40 min. How long will the tap C alone take to fill it? |
A. | 16 min |
B. | 24 min |
C. | 32 min |
D. | 40 min |
Answer» C. 32 min | |
57. |
Pipe A and B can fill a tank in 12 and 15 hours respectively. An outlet pipe C, can empty it in 6 hours. Initially pipes A and B are opened together, and after 5 hours pipe C is also opened. Find the time required to empty the tank? |
A. | 45 hours |
B. | 50 hours |
C. | 60 hours |
D. | |
E. | None of these |
Answer» B. 50 hours | |
58. |
Two pipes can independently fill a bucket in 20 minutes and 25 minutes. Both are opened together for 5 minutes after which the second pipe is turned off. What is the time taken by the first pipe alone to fill the remaining portion of the bucket? |
A. | 11 minutes |
B. | 16 minutes |
C. | 20 minutes |
D. | 15 minutes |
Answer» B. 16 minutes | |
59. |
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 |
A. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">r</td><td style="text-align: center;">p</td><td style="text-align: center;">q</td></tr></table> |
B. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> - </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">r</td><td style="text-align: center;">p</td><td style="text-align: center;">q</td></tr></table> |
C. | r = p + q |
D. | r = p q |
Answer» C. r = p + q | |
60. |
Three taps A,B and C can fill a cistern in 10, 15 and 20 minutes respectively. They are all turned on at once, but after 3 minutes C is turned off. How many minutes longer will A and B take to fill the cistern ? |
A. | 2 min. |
B. | 2 min. 6 sec. |
C. | 1 min. 6 sec. |
D. | 3 min. 8 sec. |
Answer» C. 1 min. 6 sec. | |
61. |
Pipe A fills the cistern in half an hour and pipe B in 40 minutes, but owing to a crack in the bottom of the cistern it is found that pipe A now takes, 40 minutes to fill the cistern. How long will B take now to fill it and how long will the crack take to empty it ? |
A. | The leak empties in 1 hour and B fills in 2 hours |
B. | B fills in an hour and the leak empties in 2 hours |
C. | B fills in an hour and the leak empties in an hour |
D. | Data inadequate |
Answer» C. B fills in an hour and the leak empties in an hour | |
62. |
Two pipes A and B are opened together to fill a tank. Both pipes fill the tank in a certain time. If A separately takes 16 min more than the time taken by ( A + B ) and B takes 9 min more than the time taken by ( A + B ). Find the time taken by A and B to fill the tank when both the pipes are opened together. |
A. | 10 min |
B. | 12 min |
C. | 15 min |
D. | 8 min |
Answer» C. 15 min | |
63. |
Two pipes can fill a tank in 20 and 24 min, respectively and a waste pipe can empty 6 gallon per min. All the three pipes working together can fill the tank in 15 min. Find the capacity of the tank. |
A. | 210 gallon |
B. | 50 gallon |
C. | 150 gallon |
D. | 240 gallon |
Answer» E. | |
64. |
A tank can be filled by a tap in 20 min and by another tap in 60 min. Both the taps are kept open for 5 min and then the 1st tap is shut off. After this, how much time the tank will be completely filled? |
A. | 20 min |
B. | 30 min |
C. | 45 min |
D. | 40 min |
Answer» E. | |
65. |
A cistern has three pipes A, B and C. Pipes A and B can fill it in 3 and 4 h, respectively, while pipe C can empty the completely filled cistern in 1 h. If the pipes are opened in order at 3:00 pm, 4:00 pm and 5:00 pm, respectively , at what time will the cistern be empty? |
A. | 6:15 pm |
B. | 7:12 pm |
C. | 8:12 pm |
D. | 8:35 pm |
Answer» C. 8:12 pm | |
66. |
There are three pipes connected with a tank. The first pipe can fill 1/2 part of the tank in 1 h, second pipe can fill 1/3 part of the tank in 1 h. Third pipe is connected to empty the tank. After opening all the three pipes, 7/12 part of the tank can be filled in 1 h, then how long will third pipe take to empty the full tank. |
A. | 3 h |
B. | 4 h |
C. | 5 h |
D. | 6 h |
Answer» C. 5 h | |
67. |
A pipe can fill a tank in 24 hrs. Due to a leakage in the bottom, it is filled in 36 hrs. If the tank is half full, how much time will the leak take to empty the tank? |
A. | 48 hrs |
B. | 72 hrs |
C. | |
D. | 36 hrs |
E. | 24 hrs |
Answer» D. 36 hrs | |
68. |
A leak in the bottom of a tank can empty the full tank in 6 hours. An Inlet pipe fills water at the rate of 4 litres per minute. When the tank is full, the Inlet is opened and due to the leak the tank is empty in 8 hours. The capacity of the tank is ? |
A. | 5260 litres |
B. | 5760 litres |
C. | 5846 litres |
D. | 6970 litres |
Answer» C. 5846 litres | |
69. |
Two pipes A and B can fill a tank in 1 h and 75 min, respectively. There is also an outlet C . If all the three pipes are opened together. The tank is full 50 min. How much time will be taken by C to empty the full tank? |
A. | 100 min |
B. | 150 min |
C. | 200 min |
D. | 125 min |
Answer» B. 150 min | |
70. |
Pipe A can fill a cistern in 6 hours and pipe B can fill it in 8 hours. Both the pipes are opened simultaneously, but after two hours, pipe A is closed. How many hours will B take to fill the remaining part of the cistern ? |
A. | 2 hrs |
B. | <table><tr><td rowspan="2">3</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">hours</td></tr><tr><td style="text-align: center;">3</td></tr></table> |
C. | <table><tr><td rowspan="2">2</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td><td rowspan="2">hours</td></tr><tr><td style="text-align: center;">3</td></tr></table> |
D. | 4 hrs |
Answer» C. <table><tr><td rowspan="2">2</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td><td rowspan="2">hours</td></tr><tr><td style="text-align: center;">3</td></tr></table> | |
71. |
Through an inlet, a tank takes 8 h to get filled up. Due to a leak in the bottom, it takes 2 h more to get it filled completely. If the tank is full, how much time will the leak take to empty it? |
A. | 16 h |
B. | 20 h |
C. | 32 h |
D. | 40 h |
Answer» E. | |
72. |
A cistern has a leak which would empty it in 15 hours. A tap is turned on which admits 2 litres per hour into the cistern and it is now emptied in 10 hours. How many litres does the cistern hold ? |
A. | 50 litres |
B. | 60 litres |
C. | 45 litres |
D. | 360 litres |
Answer» C. 45 litres | |
73. |
A pump can fill a tank with water in 2 hours. Because of a leak in the tank it was |
A. | 8 hours |
B. | |
C. | 7 hours |
D. | <table><tr><td rowspan="2">4</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">hours</td></tr><tr><td style="text-align: center;">3</td></tr></table> |
E. | 14 hours |
Answer» E. 14 hours | |
74. |
Three pipes A, B and C can fill a tank in 6 hours, 9 hours and 12 hours respectively. B and C are opened for half an hour, then A is also opened. The time taken by the three pipes together to fill the remaining part of the tank is |
A. | 3 hours |
B. | |
C. | 2 hours |
D. | <table><tr><td rowspan="2">2</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">hours</td></tr><tr><td style="text-align: center;">2</td></tr></table> |
E. | <table><tr><td rowspan="2">3</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">hours</td></tr><tr><td style="text-align: center;">2</td></tr></table> |
Answer» D. <table><tr><td rowspan="2">2</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">hours</td></tr><tr><td style="text-align: center;">2</td></tr></table> | |
75. |
Two pipes A and B can fill a tank in 20 minutes and 30 minutes respectively. If both pipes are opened together, the time taken to fill the tank is : |
A. | 50 minutes |
B. | 12 minutes |
C. | 25 minutes |
D. | 15 minutes |
Answer» C. 25 minutes | |
76. |
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. | 16 minutes |
B. | 24 minutes |
C. | |
D. | 32 minutes |
E. | 40 minutes |
Answer» C. | |
77. |
A tank has a leak which would empty the completely filled tank in 10 hours. If the tank is full of water and a tap is opened which admits 4 litres of water per minute in the tank, the leak takes 15 hours to empty the tank. How many litres of water does the tank hold ? |
A. | 2400 l |
B. | 4500 l |
C. | 1200 l |
D. | 7200 l |
Answer» E. | |
78. |
A pipe can fill a tank in x hours and another pipe can empty it in y (y > x) hours. If both the pipes are open, in how many hours will the tank be filled ? |
A. | (x y) hours |
B. | (y x) hours |
C. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>xy</center></td><td rowspan="2">hours</td></tr><tr><td style="text-align: center;">x - y</td></tr></table> |
D. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>xy</center></td><td rowspan="2">hours</td></tr><tr><td style="text-align: center;">y - x</td></tr></table> |
Answer» E. | |
79. |
Two pipes A and B can fill a tank in 36 minutes and 45 minutes respectively. Another pipe C can empty the tank in 30 minutes. First A and B are opened. After 7 minutes, C is also opened. The tank is filled up in |
A. | 39 minutes |
B. | 46 minutes |
C. | 40 minutes |
D. | 45 minutes |
Answer» C. 40 minutes | |
80. |
A cistern has two pipes. One can fill it with water in 8 hours and other can empty it in 5 hours. In how many hours will the cistern be emptied if both the pipes are opened together when 3/4 of the cistern is already full of water ? |
A. | <table><tr><td rowspan="2">13</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">hours</td></tr><tr><td style="text-align: center;">3</td></tr></table> |
B. | 10 hours |
C. | |
D. | 6 hours |
E. | <table><tr><td rowspan="2">3</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">hours</td></tr><tr><td style="text-align: center;">3</td></tr></table> |
Answer» C. | |
81. |
Two pipes, P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes, P is turned off. In how many more minutes will Q fill the cistern ? |
A. | 7 minutes |
B. | <table><tr><td rowspan="2">7</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">minutes</td></tr><tr><td style="text-align: center;">2</td></tr></table> |
C. | 8 minutes |
D. | <table><tr><td rowspan="2">8</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">minutes</td></tr><tr><td style="text-align: center;">4</td></tr></table> |
Answer» E. | |
82. |
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. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>xy</center></td><td rowspan="2">hours</td></tr><tr><td style="text-align: center;">y - x</td></tr></table> |
B. | x y hours |
C. | y x hours |
D. | <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>xy</center></td><td rowspan="2">hours</td></tr><tr><td style="text-align: center;">x - y</td></tr></table> |
Answer» B. x y hours | |
83. |
A tap can fill an empty tank in 12 hours and another tap can empty half the tank in 10 hours. It both the taps are opened simultaneously, how long would it take for the empty tank to be filled to half its capacity ? |
A. | 30 hours |
B. | 20 hours |
C. | |
D. | 15 hours |
E. | 12 hours |
Answer» B. 20 hours | |
84. |
|
||||
A. | 15 minutes | ||||
B. | 10 minutes | ||||
C. | |||||
D. | 5 minutes | ||||
E. | 9 minutes | ||||
Answer» E. 9 minutes | |||||
85. |
There are two tank A and B to fill up a water tank. The tank can be filled in 40 min, if both taps are on. The same tank can be filled in 60 min, if tap A alone is on. How much time will tap B alone take, to fill up the same tank ? |
A. | 64 min |
B. | 80 min |
C. | 96 min |
D. | 120 min |
Answer» E. | |
86. |
A cistern can be filled by two pipes. A and B in 12 minutes and 14 minutes respectively and can be emptied by a third pipe C in 8 minutes. If all the taps be turned on at the same moment, what part of cistern will remain unfilled at the end of 7 minutes ? |
A. | 5/24 |
B. | 19/24 |
C. | 7/24 |
D. | 17/24 |
Answer» C. 7/24 | |
87. |
A cistern can be filled by two pipes in 30 and 40 minutes respectively. Both the pipes were opened at once, but after some time the first was shut up and the cistern was filled in 10 minutes more. How long after the pipes had opened was the first pipe shut up ? |
A. | 90/ 11 minutes |
B. | 90/7 minutes |
C. | 90/13 minutes |
D. | 45/2 minute |
Answer» C. 90/13 minutes | |
88. |
A water tank is 2/5th full pipe A can fill the tank in 10 minutes and the pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely ? |
A. | 6 minutes to empty |
B. | 6 minutes to fill |
C. | 9 minutes to empty |
D. | 9 minutes to fill |
Answer» B. 6 minutes to fill | |
89. |
Two pipes X and Y can fill a cistern in 24 min. and 32 min. respectively. If both the pipes are opened together, then after how much time Y should be closed so that the tank is full in 18 minutes ? |
A. | 6 min. |
B. | 8 min. |
C. | 10 min. |
D. | 12 min. |
Answer» C. 10 min. | |
90. |
Pipe A can fill a tank in 45 hrs and pipe B can fill it in 36 hrs. If both the pipes are opened in the empty tank. In how many hours will it be full? |
A. | 10 hr |
B. | 15 hr |
C. | 20 hr |
D. | 28 hr |
Answer» D. 28 hr | |
91. |
If a pipe fills a tank in 6 h, then what part of the tank will the pipe fill in 1 h? |
A. | 1/3 |
B. | 1/6 |
C. | 1/4 |
D. | 1/5 |
Answer» C. 1/4 | |
92. |
A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in ? |
A. | 16 hrs. |
B. | 20 hrs. |
C. | 25 hrs. |
D. | 40 hrs. |
Answer» E. | |
93. |
A cistern is normally filled in 8 hrs. but takes 2 hrs. longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in ? |
A. | 16 hrs. |
B. | 40 hrs. |
C. | 25 hrs. |
D. | 20 hrs. |
Answer» C. 25 hrs. | |
94. |
A tap can fill a cistern in 8 hours and another can empty it in 16 hours. If both the taps are opened simultaneously, the time (in hours) to fill the tank is ? |
A. | 8 |
B. | 10 |
C. | 16 |
D. | 24 |
Answer» D. 24 | |
95. |
Three are two taps to fill a tank while a third to empty it. When the third tap is closed, they 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 ? |
A. | 7 min. |
B. | 9 min. and 32 sec. |
C. | 8 min. and 34 sec. |
D. | 6 min. |
Answer» D. 6 min. | |
96. |
A tap can fill a tank in 25 minutes and another can empty it in 50 minutes. Find whether the tank will be filled up or emptied and in how many minutes ? |
A. | Tank is emptied in 20 minutes |
B. | Tank is filled up in 50 minutes |
C. | Tank is filled up in 20 minutes |
D. | Tank is emptied in 25 minutes |
Answer» C. Tank is filled up in 20 minutes | |
97. |
A tap can fill a tank in 16 minutes and another can empty it in 8 minutes. If the tank is already half full and both the taps are opened together, the tank will be ? |
A. | Filled in 12 min. |
B. | Emptied in 12 min. |
C. | Filled in 8 min. |
D. | Emptied in 8 min. |
Answer» E. | |
98. |
A cistern can be filled by two pipes A and B in 4 hours and 6 hours respectively. When full, the tank can be emptied by a third pipe C in 8 hours . If all the taps be turned on at the same time, the cistern will be full in ? |
A. | 3 hours 18 min. |
B. | 3 hours 26 min. |
C. | 3 hours 42 min. |
D. | 3 hours 48 min. |
Answer» C. 3 hours 42 min. | |
99. |
An inlet pipe fills 1/8 part of a tank in 1 h. How much time will the pipe take to fill the empty tank ? |
A. | 4 h |
B. | 2 h |
C. | 6 h |
D. | 8 h |
Answer» E. | |
100. |
An outlet pipe can empty a cistern in 3 h. In what time will the pipe empty two-third part of the cistern? |
A. | 4 h |
B. | 2 h |
C. | 3 h |
D. | 5 h |
Answer» C. 3 h | |