Model 2 Filling tank by parts or fractions Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 3 EXERCISES
The following question based on pipes & cisterns topic of quantitative aptitude
(a) 30 buckets
(b) 34 buckets
(c) 24 buckets
(d) 27 buckets
The correct answers to the above question in:
Answer: (c)
Capacity of each bucket = 12 liters
20 buckets can fill the tank. So, capacity of tank = 20 * 12= 240 liters
New capacity of bucket = 10 liters
So, 10 liters can be poured into the tank by one bucket
240 liters will be poured by $1/10$ x 240 = 24 buckets
Discuss Form
Read more filling tank by parts or fractions Based Quantitative Aptitude Questions and Answers
Question : 1
If $3/5$ th of a cistern is filled in 1 minute, the time needed to fill the rest is
a) 36 sec
b) 40 sec
c) 24 sec
d) 30 sec
Answer »Answer: (b)
Time taken to fill the $3/5$ of the cistern = 60 seconds
Time taken in filling $2/5$ part
= ${60 × 5}/3 × 2/5$ = 40 seconds
Question : 2
There are two pumps to fill a tank with water. First pump can fill the empty tank in 8 hours, while the second in 10 hours. If both the pumps are opened at the same time and kept open for 4 hours, the part of tank that will be filled up is :
a) $2/5$
b) $9/10$
c) $1/54$
d) $1/10$
Answer »Answer: (b)
Using Rule 1
Two taps 'A' and 'B' can fill a tank in 'x' hours and 'y' hours respectively. If both the taps are opened together, then how much time it will take to fill the tank?Required time = $({xy}/{x + y})$ hrs
Part of the tank filled in an hour by both pumps
= $1/8 + 1/10 = {5 + 4}/40 = 9/40$
Part of the tank filled in 4 hours
= ${4 × 9}/40 = 9/10$
Question : 3
Pipes P and Q can fill a tank in 10 and 12 hours respectively and C can empty it in 6 hours. If all the three are opened at 7 a.m., at what time will one-fourth of the tank be filled ?
a) 11 p.m.
b) 10 a.m.
c) 11 a.m.
d) 10 p.m.
Answer »Answer: (d)
Using Rule 2,If x, y, z, ........... all taps are opened together then, the time required to fill/empty the tank will be:$1/x ± 1/y ± 1/z ± ... = 1/T$Where T, is the required timeNote: Positive result shows that the tank is filling and Negative result shows that the tank is getting empty.
Part of tank filled in 1 hour when all three pipes are opened
= $1/10 + 1/12 - 1/6= {6 + 5 - 10}/60 = 1/60$
The tank will be filled in 60 hours.
One fourth of the tank will be filled in 15 hours $[1/4 × 60]$
i.e. the tank will be filled at 10 p.m.
Question : 4
Pipe A can fill the tank 3 times faster in comparison to pipe B. It takes 36 minutes for pipe A and B to fill the tank together. How much time will pipe B alone take to fill the tank?
a) 100 minutes
b) 124 minutes
c) 134 minutes
d) 144 minutes
e) 154 minutes
Answer »Answer: (d)
Let the time taken by pipe B be x minutes
So, the time taken by pipe A = x/3 minutes
Thus, 1/3 + 3/x = 1/36
⇒ 4/x = 1/36
⇒ x = 4×36
⇒ x = 144 minutes
GET pipes & cisterns PRACTICE TEST EXERCISES
Model 1 Basic Pipes & Cisterns problems
Model 2 Filling tank by parts or fractions
Model 3 Opening both taps and leaks
pipes & cisterns Shortcuts and Techniques with Examples
Verbal Reasoning
Question & Answer Quiz
Non Verbal Reasoning
Question & Answer Quiz
Quantitative Aptitude
Question & Answer Quiz
Computer MCQ
Question & Answer Quiz
General English
Question & Answer Quiz
History GK
Question & Answer Quiz
Polity GK
Question & Answer Quiz
Geography GK
Question & Answer Quiz
Economy GK
Question & Answer Quiz
General Awareness GK
Question & Answer Quiz
Recently Added Subject & Categories For All Competitive Exams
Word Formation Objective Questions MCQs for IBPS Clerk 2024
Current year Important Objective Questions and Answers with Explanation for IBPS Clerk Prelims 2024 exam. English Vocabulary multiple choice practice exercises
Continue Reading »
Time and work Questions with Solution PDF IBPS Clerk 2024
Free Time and Work Quants Aptitude concepts based Multiple Choice Questions and Answers Practice Test, Downloadable Quiz PDF for IBPS Clerk Prelims 2024 Exam
Continue Reading »
Series Completion Questions & Answers PDF IBPS Clerk 2024
Top Alphabet Number Series Completion based Verbal Reasoning Multiple choice questions with answers PDF, & Free IBPS Mock tests For IBPS Clerk Prelims 2024
Continue Reading »
New 150+ Percentage Questions For IBPS Clerk Prelims 2024
Free Top Percentage Quants Aptitude based Multiple Choice Questions and Answers Practice Test Series, Quiz PDF & Mock Test for IBPS Clerk Prelims 2024 Exam
Continue Reading »