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Shortcut Tricks: Pipes and Cisterns Video Lecture | Quantitative Aptitude for SSC CGL

FAQs on Shortcut Tricks: Pipes and Cisterns Video Lecture - Quantitative Aptitude for SSC CGL

1. What are pipes and cisterns in mathematics?
Ans. Pipes and cisterns are concepts in mathematics that deal with problems related to the flow of liquids in pipes and the filling or emptying of cisterns (water tanks). These problems typically involve calculating the time it takes to fill or empty a tank when multiple pipes are involved.
2. How do you calculate the time taken to fill a cistern using multiple pipes?
Ans. To calculate the time taken to fill a cistern using multiple pipes, first determine the rate at which each pipe fills the tank (in terms of the tank's capacity). Then, add the rates of all the pipes working together. Finally, divide the total capacity of the cistern by the combined rate to find the time required to fill it.
3. What is the formula for finding the efficiency of pipes in cistern problems?
Ans. The efficiency of pipes in cistern problems can be expressed as the rate of work done by the pipes. The formula is given by Efficiency = (Total Capacity of the Cistern) / (Time taken to fill or empty the cistern). Each pipe's efficiency can be calculated similarly by using its individual filling or emptying time.
4. How can I solve problems involving one pipe filling and another pipe emptying a cistern?
Ans. To solve such problems, calculate the filling rate of the first pipe and the emptying rate of the second pipe. Then, find the net rate by subtracting the emptying rate from the filling rate. Finally, use this net rate to find the time taken to fill or empty the cistern depending on the scenario.
5. What are some common traps or mistakes to avoid when solving pipes and cistern problems?
Ans. Common mistakes include not converting all units to the same measurement system, forgetting to account for pipes that are closed or opened at different times, and miscalculating the rates. It's also important to carefully read the problem statement to understand whether the pipes are filling or emptying the cistern.
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