Introducing an important aspect of the quantitative aptitude section: the Pipe and cistern questions. A common challenge candidates face in various competitive exams, be it banks, SSC, RRB, Insurance and more, is problems related to pipes and cisterns. In this comprehensive article, we delve deep into “Pipe and cistern questions“, ensuring you get the most effective preparation material.
For many, the term “Pipe and cistern questions” can seem daunting, but with the right approach and understanding of the “pipes and cisterns formula“, it becomes manageable. This is why we’re emphasizing on the crucial examples like “two pipes p and q together can fill a cistern” and “two pipes a and b can fill a cistern“. Both these examples will give you a clear perspective on how to approach these problems.
We also recognize the importance of language adaptability in preparation. Therefore, we have also incorporated “pipe and cistern questions in Hindi” and insights on “pipe and cistern in Hindi“. This ensures that you not only understand the crux of the “pipes and cisterns problems” but also can relate to them in a language you’re comfortable with.
Word problems, especially around the “pipes and cisterns formula“, have been a mainstay in competitive exams. While “two pipes p and q together can fill a cistern” or “two pipes a and b can fill a cistern” might seem similar, they can carry nuances that are essential for aspirants to grasp.
Pipes and Cisterns Formula :
Given below are aimportant formulas which shall help you solve the pipes and cistern based questions quicker and more efficiently:
- If x hours are required to fill up a tank, then part filled in 1 hr =1/x
- If y hours are required to empty the tank, then part emptied in 1 hour = 1/y
- If a pipe can fill a tank in x hours and can empty the same tank in y hours. When both the pipes are opened at the same time, then the net part of the tank filled in 1 hr = {(xy) / (y-x)}, provided y>x
- If a pipe can fill a tank in x hours and can empty the same tank in y hours. When both the pipes are opened at the same time, then the net part of the tank filled in 1 hr = {(xy) / (x-y)}, provided x>y
- Net work done = (Sum of work done by Inlets) – (Sum of work done by Outlets)
- One inlet can fill the tank in x hr and the other inlet can fill the same tank in y hrs, if both the inlets are opened at the same time, the time taken to fill the whole tank = {(xy) / (y+x)}
- If two pipes take x and y hours respectively to fill a tank of water and a third pipe is opened which takes z hours to empty the tank, then the time taken to fill the tank = {1 / (1/x)+(1/y)+(1/z)} and the net part of the tank filled in 1 hr = (1/x)+(1/y)-(1/z)
The syllabus for competitive exams is vast, as we all know. But every topic, including “Pipe and cistern questions“, holds its weight. Therefore, giving due time to understand and practice these “pipes and cisterns problems” is paramount. Especially when considering the intense competition and the challenge to crack these exams.
In conclusion, this article offers an in-depth understanding of “Pipe and cistern questions“, covering essential examples like “two pipes p and q together can fill a cistern” and “two pipes a and b can fill a cistern“, not forgetting the importance of language with “pipe and cistern questions in Hindi” and “pipe and cistern in Hindi“.
Whether you’re just starting out or brushing up your skills, this article is your guide to excel. So, gear up and dive into the world of “Pipe and cistern questions” and ace your upcoming Government sector exams!
Top 130 Pipe and cistern questions for Competitive Exams :
41. An inlet pipe takes 8 hours to fill a tank. An outlet pipe takes 12 hours to empty it. If both pipes are opened simultaneously, in how many hours will the tank be filled?
एक टैंक को भरने में एक इनलेट पाइप को 8 घंटे का समय लगता है। एक आउटलेट पाइप को इसे खाली करने में 12 घंटे लगते हैं। यदि दोनों पाइप एकसाथ खोले जाते हैं, तो टैंक कितने घंटों में भरा जाएगा?
42. Tap A can fill a tank in 6 hours, tap B can fill the same tank in 8 hours and tap C can empty the same tank in 4 hours. If all three taps A, B and C are opened together, then how much time (In hours) will be taken to fill the tank?
नल A एक टंकी 6 घंटे में भर सकता है, नल B उसी टंकी को 8 घंटे में भर सकता है और नल C उसी टंकी को 4 घंटे में खाली कर सकता है। यदि सभी तीन नल A, B और C को एक साथ खोला जाता है, तो टंकी को भरने में कितना समय (घंटों में) लगेगा?
43. A pipe can fill a tank in 10 minutes while another pipe can empty it in 12 minutes. If the pipes are opened alternately each for 1 minute, beginning with the first pipe. the tank will be full after (in minutes):
एक पाइप 10 मिनट में एक टैंक भर सकता है जबकि दूसरा पाइप 12 मिनट में इसे खाली कर सकता है। यदि शुरुआत पहले पाइप से करके, पाइपों को 1 मिनट के लिए बारी-बारी से खोला जाए। टैंक कितनी देर में पूरा भर जाएगा (मिनट में)?
44. Two pipes A and B can fill a tank in 12 minutes and 15 minutes, respectively. When an outlet pipe C is also opened, then the three pipes together can fill the tank in 10 minutes. In how many minutes can C alone empty the full tank?
दो पाइप A और B क्रमशः 12 मिनट और 15 मिनट में एक टैंक भर सकते हैं। जब एक निकासी पाइप C भी खोल दिया जाता है, तो तीनों पाइप एक साथ टैंक को 10 मिनट में भर सकते हैं। C अकेले कितने मिनट में पूरा टैंक खाली कर सकता है?
45. Two pipes X and Y can fill an empty tank in ‘t’ minutes. If pipe X alone takes 6 minutes more than ‘t’ to fill the tank and Y alone takes 54 minutes more than ‘t’to fill the tank, then X and Y together will fill the tank in:
दो पाइप X और Y एक खाली टैंक को ‘t’ मिनट में भर सकते हैं। यदि अकेले पाइप X टैंक को भरने के लिए ‘t’ से 6 मिनट अधिक लेता है और Y अकेले टैंक को भरने में ‘t’ से 54 मिनट अधिक लेता है, तो X और Y मिलकर टैंक को कितने समय में भरेंगे:
46. Two pipes can fill a tank in 15 hours and 4 hours, respectively, while a third pipe can empty it in 12 hours. How long (in hours) will it take to fill the empty tank if all the three pipes are opened simultaneously?
दो पाइप क्रमशः 15 घंटे और 4 घंटे में एक टंकी भर सकते हैं, जबकि एक तीसरा पाइप 12 घंटे में इसे खाली कर सकता है। यदि तीनों पाइप एक साथ खोल दिए जाते हैं तो खाली टंकी को भरने में कितना समय (घंटों में) लगेगा?
47.Pipes X and Y can fill a tank in 30 minutes and 45 minutes, respectively, whereas pipe Z can empty the full tank in 1 hour. Pipes X and Y are opened together for 10 minutes. Then, pipe X is closed, Z is opened instantly and Y continued to fill. The total time (from the beginning) taken to fill the tank is:
पाइप X और Y क्रमशः 30 मिनट और 45 मिनट में एक टैंक भर सकते हैं, जबकि पाइप Z, 1 घंटे में पूरा टैंक खाली कर सकता है। पाइप X और Y एकसाथ 10 मिनट के लिए खोले जाते हैं। फिर, पाइप X बंद हो जाता है, Z को तुरन्त खोला जाता है और Y टैंक को भरना जारी रखता है। टैंक को भरने के लिए लिया गया कुल समय (शुरुआत से) है:
48. Three pipes can fill a tank in 15 hours, 12 hours and 10 hours, respectively. If all the three pipes are opened simultaneously for 3 hours, then what percentage of the tank will remain unfilled?
तीन नल क्रमशः 15 घंटे, 12 घंटे और 10 घंटे में एक टंकी को भर सकते हैं। यदि सभी तीन नलों को एक साथ 3 घंटे के लिए खोला जाता है, तो टंकी का कितना प्रतिशत खाली रहेगा?
49. Two pipes A and B can fill a tank in 12 hours and 18 hours, respectively. Both pipes are opened simultaneously. In how much time will the empty tank be filled completely ?
दो नल A और B एक टैंक को क्रमशः 12 घंटे और 18 घंटे में भर सकते हैं। दोनों नल एक साथ खोले जाते हैं। खाली टैंक को पूरा भरने में कितना समय लगेगा?
50. A pipe can fill a cistern in 20 minutes whereas the cistern when full can be emptied by a leak in 28 minutes. When both are opened, The time taken to fill the cistern is:
एक पाइप 20 मिनट में एक टंकी को भर सकता है जबकि एक रिसाव द्वारा पूर्ण भरी टंकी को 28 मिनट में खाली किया जा सकता है। यदि दोनों को एक साथ खोला जाता है, तो टंकी को भरने में लगने वाला समय है: