{"id":11486,"date":"2022-02-26T14:29:03","date_gmt":"2022-02-26T08:59:03","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=11486"},"modified":"2022-08-03T17:36:20","modified_gmt":"2022-08-03T12:06:20","slug":"pipes-and-cisterns-questions-for-cat","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/pipes-and-cisterns-questions-for-cat\/","title":{"rendered":"Pipes and Cisterns Questions for CAT"},"content":{"rendered":"

Pipes and Cisterns Questions for CAT:<\/strong><\/span><\/p>\n

Pipes and cisterns is one of the topics that can be asked from the Time, work, speed and distance. These questions are from CAT previous papers, so these questions are important for CAT aspirants.<\/p>\n

Download Pipes and Cisterns Questions for CAT<\/a><\/p>\n

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CAT Data Interpretation Questions PDF<\/a><\/p>\n

Download CAT Quant Questions PDF<\/a><\/p>\n

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Question 1:\u00a0<\/strong>A hole can empty a full tank in 60 minutes. To maintain the level of water in the tank, 3 filling pipes of equal efficiency are required. How many more such filling pipes will be required so that an empty tank gets filled in 180 minutes?<\/p>\n

a) 0
\nb) 1
\nc) 2
\nd) 3<\/p>\n

Question 2:\u00a0<\/strong>A fill pipe can fill the tank in 15 minutes and a drain pipe can drain the tank in 30 minutes. If a system of \u2018x\u2019 pipes (includes both fill and drain pipes) fills the tank in 3 minutes. Find the possible value of \u2018x\u2019.<\/p>\n

a) 10
\nb) 16
\nc) 12
\nd) 14<\/p>\n

Question 3:\u00a0<\/strong>Five pipes A, B, C, D, and E can fill a tank in 60 minutes, 20 minutes, 30 minutes, 8 minutes, 32 minutes respectively. Out of these five pipes, two have now been converted into emptying pipes such that there efficiency remains the same. When only one of filling pipes and one of the emptying pipes operate, the tank can be filled in 60 minutes while another combination of emptying and filling pipe empties it in $\\frac{8}{45}^{th}$ of the time taken by the previous combination to fill the tank. Which pipes are converted into emptying pipes?<\/p>\n

a) A and D
\nb) C and D
\nc) B and D
\nd) Cannot be determined<\/p>\n

Download CAT 2022 Syllabus PDF<\/a><\/p>\n

Question 4:\u00a0<\/strong>An empty tank can be filled in 70 minutes by water flowing from a pipe of square cross section of side 3 cm at the rate of 4 cm\/sec. Now another pipe of a circular cross section is added at the bottom of the tank which empties the tank at the rate of 7 cm\/sec. When both the pipes are present the tank when empty gets filled completely in 180 minutes. What is the radius of the circular pipe at the bottom of the tank (in cm)?<\/p>\n

a) 1
\nb) 2
\nc) 3
\nd) None of these<\/p>\n

Question 5:\u00a0<\/strong>Three pipes A, B and C can fill an empty tank in 4 hours, 5 hours and 6 hours respectively. There is a hole in the tank, which can empty a full tank in 8 hours. Initially, the tank is empty. A and B are opened. They are closed after half an hour. C is now opened and allowed to run for the next 1 hour. Find the total time required to fill the tank if all three taps are opened simultaneously after the first one and a half hours.<\/p>\n

a) 4.11 hours
\nb) 3.6 hours
\nc) 3.11 hours
\nd) 4.6 hours<\/p>\n

Answers and Solutions for\u00a0Pipes and Cisterns Questions for CAT:<\/strong><\/span><\/p>\n

Solutions:<\/strong><\/p>\n

1) Answer (B)<\/strong><\/p>\n

Assume the work to be done is 180 units. So the efficiency of the hole is -180\/60= -3 units\/ min. Now, to maintain the level, 3 filling pipes are required. This means that these 3 filling pipes offset the negative work done by the hole. Thus, efficiency of each filling pipe is +1 unit\/min. Now we want an empty tank to be filled in 180 minutes. This means that the efficiency of the whole system should be 180\/180= 1 unit\/min. With 3 pipes, we already offset the negative work done by the hole. To make the efficiency 1 unit\/min, we would need 1 more filling pipe. Thus, the answer is 1.<\/p>\n

Preparation tips for CAT – Beginners<\/a><\/p>\n

2) Answer (D)<\/strong><\/p>\n

In a given time, one fill pipe cancels out two drain pipes, and we require 5 more fill pipes to fill the tank in 3 minutes. So the number of pipes would be in the form of 3x+5.
\nAmong the given options only \u201814\u2019 is in the form of 3x+5.
\nSo the correct option to choose is D.<\/p>\n

3) Answer (D)<\/strong><\/p>\n

Let the total work to be done be 480 units (LCM of 60,20,30,8,32)
\nSo the respective efficiencies of different pipes are-
\nA- 8 units\/min (480\/60)
\nB- 24 units\/min
\nC- 16 units\/min
\nD- 60 units\/min
\nE- 15 units\/min
\nNow, one combination of emptying and filling pipe can fill the tank in 60 minutes, i.e. together they can do 480\/60=8 units of work per minute.
\nOut of the combinations possible, only A-C and B-C have a difference of 8 units\/min.
\nSo, if A is an emptying the tank and C is a filling it, they will do together 8 units of work per min. When C is an emptying the tank and B is filling it, the work done per minute will be the same 8 units\/min.
\nAccording to the question, the second combination takes 8\/45th of time of first one, i.e 32\/3 minutes. Only combination that can do so is when D is the emptying pipe and E is the filling pipe. So among A, B, and C, we cannot know for sure which pipe is the filling one and which one is the emptying one.
\nThus, we can\u2019t determine which pipes have been converted to emptying pipes.<\/p>\n

4) Answer (A)<\/strong><\/p>\n

Volume of flow of water into the tank per second = Rate of flow * Area of cross section of pipe
\nIn first case with only one pipe, Volume flow per sec = $3^2 \\times 4$ = 36 units
\nIn second case, Volume flow per sec = 36 – $ \\pi r^2\\times7$ = 36- $ 7\\pi r^2$ units
\nRatio of times taken is the inverse ratio of volumes flow per sec
\n=> $\\frac{70}{180}=\\frac{36-7\\pi r^2}{36}$
\nSolving, we get r = 1 cm.<\/p>\n

5) Answer (C)<\/strong><\/p>\n

Let the amount of work to be done to either fill an empty tank or empty a full tank be LCM(4,5,6,8) = 5*8*3 = 120 units
\nWork done by pipe A in one hour = 120\/4 = 30 units
\nWork done by pipe B in one hour = 120\/5 = 24 units
\nWork done by pipe C in one hour = 120\/6 = 20 units
\nWork done by the hole in one hour = 120\/8 = 15 units
\nWork done in the first one and a half hours = 15 + 12 + 20 – (3\/2)*15 = 47 – 22.5 = 24.5 units
\nWork remaining = 120 – 24.5 = 95.5 units
\nWork done by all the taps together in 1 hour when they are opened simultaneously = 30 + 24 + 20 – 15 = 59 units
\nSo, time required to fill the remaining tank = 95.5\/59 hours = 1.61 hours
\nSo, total time required to fill the empty tank = 1.5 + 1.61 = 3.11 hours<\/p>\n

Take a free CAT online mock test<\/a><\/p>\n

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Pipes and Cisterns Questions for CAT: Pipes and cisterns is one of the topics that can be asked from the Time, work, speed and distance. These questions are from CAT previous papers, so these questions are important for CAT aspirants. CAT Data Interpretation Questions PDF Download CAT Quant Questions PDF Take Free Mock Test for […]<\/p>\n","protected":false},"author":21,"featured_media":11495,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[3,169,125],"tags":[5119],"class_list":{"0":"post-11486","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-cat","8":"category-downloads","9":"category-featured","10":"tag-cat-2022"},"better_featured_image":{"id":11495,"alt_text":"Pipes and Cisterns Questions for CAT","caption":"Pipes and Cisterns Questions for CAT","description":"Pipes and Cisterns Questions for 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