- Home
- Quantitative
- English
- Reasoning
- IT Officer
- Programming
-
Computer
- Computer Awareness Questions Answers - Set 1
- Computer Awareness Questions Answers - Set 2
- Important Abbreviations Computer Awareness Questions Answers
- Important File Extensions Questions Answers
- Computer System Architecture Questions Answers
- MS Office Questions Answers
- MS Excel Questions Answers
- MS PowerPoint Questions Answers
-
GK
- Geography Questions Answers
- Indian History Questions Answers
- World History Questions Answers
- Indian Economy Questions Answers
- Indian Polity and Constitution
- Physics Questions Answers
- Chemistry Questions Answers
- Biology Questions Answers
- First In India
- First In World
- Longest and Largest
- Books and Authors
- Important Days of year
- Countries and Capitals
- Inventions and Inventors
-
Current Affairs
- Current Affairs
- Current Affairs 2018
- Current Affairs 2018 - 2019 PDF
- Current Affairs August 2019
- Current Affairs July 2019
- Current Affairs June 2019
- Current Affairs May 2019
- Current Affairs April 2019
- Current Affairs March 2019
- Current Affairs February 2019
- Current Affairs January 2019
- Current Affairs December 2018
- Current Affairs November 2018
- Current Affairs October 2018
- Current Affairs September 2018
- Govt Jobs
- Exams
- Online Quiz
- You are here
- Home
- Quantitative Aptitude
- Arithmetic Aptitude Questions Answers
- Pipes and Cisterns Questions Answers
- Aptitude Question
- Current Affairs 2019
- Current Affairs 2018
- Current Affairs December 2018
- Current Affairs November 2018
- Current Affairs October 2018
- Current Affairs September 2018
- Current Affairs August 2018
- Current Affairs July 2018
- Current Affairs June 2018
- Current Affairs May 2018
- Current Affairs April 2018
- Current Affairs March 2018
- Current Affairs February 2018
- Current Affairs January 2018
- Current Affairs 2018
- Current Affairs PDF
- Current Affairs PDF Download
- Current Affairs July 2019 PDF
- Current Affairs June 2019 PDF
- Current Affairs May 2019 PDF
- Current Affairs April 2019 PDF
- Current Affairs March 2019 PDF
- Current Affairs February 2019 PDF
- Current Affairs January 2019 PDF
- Current Affairs December 2018 PDF
- Current Affairs November 2018 PDF
- Current Affairs October 2018 PDF
- Current Affairs September 2018 PDF
- Current Affairs August 2018 PDF
- Current Affairs July 2018 PDF
- Current Affairs June 2018 PDF
- Current Affairs May 2018 PDF
- Current Affairs April 2018 PDF
- Current Affairs March 2018 PDF
- Current Affairs February 2018 PDF
- Current Affairs January 2018 PDF
Question Detail
A tap can fill a tank in 6 hours. After half the tank is filled then 3 more similar taps are opened. What will be total time taken to fill the tank completely.
- 2 hours 30 mins
- 2 hours 45 mins
- 3 hours 30 mins
- 3 hours 45 mins
Answer: Option D
Explanation:
Half tank will be filled in 3 hours
Lets calculate remaining half,
Part filled by the four taps in 1 hour = 4*(1/6) = 2/3
Remaining part after 1/2 filled = 1-1/2 = 1/2
\begin{aligned}
\frac{2}{3}:\frac{1}{2}::1:X \\
=> X = \left( \frac{1}{2}*1*{3}{2} \right) \\
=> X = \frac{3}{4} hrs = 45 \text{ mins} \\
\end{aligned}
Total time = 3 hours + 45 mins = 3 hours 45 mins
1. One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in
- 144 mins
- 140 mins
- 136 mins
- 132 minw
Answer: Option A
Explanation:
Let the slower pipe alone fill the tank in x minutes
then faster will fill in x/3 minutes.
Part filled by slower pipe in 1 minute = 1/x
Part filled by faster pipe in 1 minute = 3/x
Part filled by both in 1 minute = \begin{aligned}
\frac{1}{x} + \frac{3}{x}= \frac{1}{36} \\
=> \frac{4}{x} = \frac{1}{36} \\
x = 36*4 = 144 mins
\end{aligned}
2. A tank can be filled by a tap in 20 minutes and by another tap in 60 minutes. Both the taps are kept open for 10 minutes and then the first tap is shut off. After this, the tank will be completely filled in what time ?
- 10 mins
- 15 mins
- 20 mins
- 25 mins
Answer: Option C
Explanation:
How we can solve this question ?
First we will calculate the work done for 10 mins, then we will get the remaining work, then we will find answer with one tap work, As
Part filled by Tap A in 1 min = 1/20
Part filled by Tap B in 1 min = 1/60
(A+B)'s 10 mins work =
\begin{aligned}
10*\left(\frac{1}{20}+\frac{1}{60}\right) \\
= 10*\frac{4}{60} = \frac{2}{3} \\
\text{Remaining work = } 1-\frac{2}{3} \\
= \frac{1}{3} \\
\text{METHOD 1} \\
=> \frac{1}{60}:\frac{1}{3}=1:X \\
=> X = 20 \\
\text{METHOD 2} \\
1/60 \text{ part filled by B in} = 1 min \\
1/3 \text{ part will be filled in} \\
= \frac{\frac{1}{3}}{\frac{1}{60}} \\
= \frac{60}{3} = 20
\end{aligned}
3. There are two pipes which are functioning simultaneouly to fill a tank in 12 hours, if one pipe fills the tank 10 hours faster than other then how many hours second pipe will take to fill the tank ?
- 30 hours
- 35 hours
- 40 hours
- 42 hours
Answer: Option A
Explanation:
Lets suppose tank got filled by first pipe in X hours,
So, second pipe will fill the tank in X + 10 hours.
\begin{aligned}
=> \frac{1}{X} + \frac{1}{X} + 10 = \frac{1}{12} \\
=> X = 20
\end{aligned}
4. An electric pump can fill a tank in 3 hours. Because of a leak in the tank, it took 3 hours 30 min to fill the tank. In what time the leak can drain out all the water of the tank and will make tank empty ?
- 10 hours
- 13 hours
- 17 hours
- 21 hours
Answer: Option D
Explanation:
We can get the answer by subtrating work done by leak in one hour by subtraction of filling for 1 hour without leak and with leak, as
Work done for 1 hour without leak = 1/3
Work done with leak =
\begin{aligned}
3\frac{1}{2} = \frac{7}{2} \\
\text{Work done with leak in 1 hr= }\frac{2}{7} \\
\text{Work done by leak in 1 hr }\\
= \frac{1}{3} - \frac{2}{7} = \frac{1}{21}
\end{aligned}
So tank will be empty by the leak in 21 hours.
5. A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time cistern will get filled ?
- 7 hours
- 7.1 hours
- 7.2 hours
- 7.3 hours
Answer: Option C
Explanation:
When we have question like one is filling the tank and other is empting it, then we subtraction as,
Filled in 1 hour = 1/4
Empties in 1 hour = 1/9
Net filled in 1 hour = 1/4 - 1/9
= 5/36
So cistern will be filled in 36/5 hours i.e. 7.2 hours
Thanks ! Your comment will be approved shortly !
- Copyright 2014 - All rights reserved
- Terms Of Use & Privacy Policy
- Contact Us
- Copyright