Pipes and Cistern - Aptitude Questions and Answers | Online Pipes and Cistern MCQ Aptitude Test
Quiz Name
Pipes and Cistern
Category
Online Aptitude Test
Number of Questions
20
Time
30 Minutes
Exam Type
MCQ (Multiple Choice Questions)
1. There are three pipes. In 30 minutes, 20 minutes, and 10 minutes, respectively, A, B, and C can fill a tank from empty to full. All three pipes are opened when the tank is empty. Chemical solutions P,Q, and R are discharged by A, B, and C, respectively. After 3 minutes, what is the proportion of solution R in the liquid in the tank?
a. 5/11
b. 6/11
c. 7/11
d. 8/11
Answer: B
Explanation:
Part completed in 3 minutes by (A + B + C) = 3 1/30+1/20+1/10 =3 x 11/60=11/20,C filled 3/10 of the part in 3 minutes.3/10 x 20/11 = 6/11 is the required ratio.
2. Pipes A and B, respectively, can fill a tank in 5 and 6 hours. It may be emptied in 12 hours using Pipe C. The tank will be filled if all three pipes are opened simultaneously:
a. 1 13/17 hours
b.2 8/11hours
c. 3 9/17hours
d. 4 1/2hours
Answer: C
Explanation:
In 1 hour, the net portion was full.1/5 +1/6-1/12= 17/60,In 60/17 hours, or 3 9/17 hours, the tank will be full.
3. It takes a pump two hours to fill a tank with water. It took 2 hours to fill the tank due to a leak. The leak has the potential to drain the whole contents of the tank into:
a. 4 1/3hours
b. 7 hours
c. 8 hours
d. 14 hours
Answer: D
Explanation:
1 hour of work done by the leak = 1/2 - 3/7 = 1/14,In 14 hours, Leak will have emptied the tank.
4. It takes 37 minutes and 45 minutes for two pipelines A and B to fill a cistern, respectively. Both of the pipes have been opened. If the B is switched off after: the cistern will be filled in less than half an hour.
a. 5min.
b. 9min.
c. 10min.
d. 15min.
Answer: B
Explanation:
Allow x minutes for B to be switched off. ThePart filled in x minutes by (A + B) + Part filled in (30 -x) minutes by A = 1.× 2/75 + 1/45 + (30 - x).1 = 2/75,1 = 11x/225 + (60 -2x)/75.225 = 11x + 180 - 6x.x equals 9.
5. Three pipes with a consistent flow fill a tank. The first two pipes fill the tank at the same time, while the third pipe fills the tank alone. The tank is filled 5 hours quicker by the second pipe and 4 hours slower by the third pipe. The first pipe takes the following amount of time:
a. 6hours
b. 10hours
c. 15hours
d. 30hours
Answer: C
Explanation:
Assume that filling the tank with just the first pipe takes x hours.The second and third pipes will take (x -5) and (x - 9) hours to fill the tank, respectively.1/x + 1/(x - 5) = 1/(x - 9) x - 5 + x/ x(x-5) = 1/(x - 9) (2x - 5)(x - 9) = x(x - 5) x2 - 18x + 45 = 0 (x - 15)(x - 3) = x(x - 5) x2 - 18x + 45 = 0 x [ignoring x = 3].
6. A tank can be filled in 20 minutes and emptied in 24 minutes using two lines, and a waste pipe can empty 3 gallons per minute. Working together, the three pipes can fill the tank in 15 minutes. The tank has the following capacity:
a. 60gallons
b. 100gallons
c. 120gallons
d. 180gallons
7. Three pipes A, B, and C fill a tank in five hours. The pipe C is twice as fast as the pipe B, and the pipe B is twice as fast as the pipe A. How long will it take pipe A to fill the tank by itself?
a. 20hours
b. 25hours
c. 35hours
d. Cannot be determined
Answer: C
Explanation:
Assume that filling the tank using pipe A alone takes x hours.Then pipelines B and C will take x/2 and x/4 hours to fill the tank, respectively.1/x + 2/x + 4/x = 1/5,7/x = 1/5,35 hours = x.
8. It takes four hours for two pipes A and B to fill a cistern. If they had been opened independently, it would have taken B 6 hours longer to fill the cistern than A. A will need how much time to fill the cistern separately?
a. 1hour
b. 2hour
c. 6hour
d. 8hour
Answer: C
Explanation:
Allow x hours for pipe A to fill the cistern alone.Then, in (x + 6) hours, pipe B will fill it.1/4 = 1/x + 1/(x + 6),1/4 = x + 6 + x/x(x + 6),2x - 24 = 0 x2 - 2x - 24 = 0 x2 - 2x - 24 =0 = (x -6)(x + 4)[ignoring the negative value of x] x = 6.
9. Two pipelines A and B, respectively, can fill a tank in 20 and 30 minutes. How long will it take to fill the tank if both hoses are used together?
a. 12 min
b. 15 min
c. 25 min
d. 50 min
Answer: A
Explanation:
A filled 1/20 of the part in 1 minute.B filled 1/30 of the part in 1 minute.Part filled in 1 minute by (A + B) = 1/20 + 1/30 = 1/12In 12 minutes, both pipes may fill the tank.
10. In 15 minutes and 20 minutes, two pipelines A and B can fill a tank, respectively. Both pipes are opened simultaneously, but pipe A is switched off after 4 minutes. How long will it take to fill the tank completely?
a. 10 min. 20 sec.
b. 11 min. 45 sec.
c. 12 min. 30 sec.
d. 14 min. 40 sec.
Answer: D
Explanation:
Filling the part in 4 minutes = 4 1/15+1/20= 7/15.The remaining portion is equal to 1 - 7/15 = 8/15.B filled 1/20 of the part in 1 minute.1/20 : 8/15 : :1 :x10 2/3 min = 10 min. 40 sec. The tank will be full in 4 minutes, 10 minutes, and 40 seconds, for a total of 14 minutes and 40 seconds.
11. A single pipe can fill a tank three times faster than a second pipe. If the two pipes can fill the tank in 36 minutes while working together, the slower pipe can fill the tank in:
a. 81 min
b. 108 min
c. 144 min
d. 192 min
Answer: C
Explanation:
Allow the slower pipe to fill the tank in x minutes on its own.Then, in x/3 minutes, the quicker pipe will fill it.1/x + 3/x = 1/36,4/x = 1/36,x equals 144 minutes.
12. Two pipelines A and B can fill a big tanker in 60 minutes and 40 minutes, respectively. How long will it take to fill the tanker from an empty condition if B fills it half the time and A and B fill it together the other half?
a. 15min
b. 20min
c. 27.5min
d. 30min
Answer: D
Explanation:
Part filled in 1 minute by (A + B) =1/60+1/40=1/24,Let's say the tank fills up in x minutes.x/2 1/24+1/40 = 1 =x/2 x 1/15 = 1 x = 30 minutes.
13. It takes 6 hours for a tap to fill a tank. Three additional identical taps are unlocked once half of the tank has been filled. How long did it take to totally fill the tank?
a. 3 hrs 15 min
b. 3 hrs 45 min
c. 4 hrs
d. 4 hrs 15 min
Answer: B
Explanation:
One tap takes 3 hours to fill half of the tank.Part filled in 1 hour by four taps = 4 x 1/6 = 2/3,1 - 1/2 = 1/2 is the remaining half.,2/3 : 1/2 : 1 : x ,x = 1/2 x 1 x 3/2 = 3/4 hour, or 45 minutes.As a result, the total time spent was 3 hours. 45 minutes.
14. Taps three times A, B, and C can each fill a tank in 12, 15, and 20 hours. The tank will be full in: if A is open all the time and B and C are open for one hour each alternately.
a. 6 hours
b. 6 2/3 hours
c. 7 hours
d. 7 1/2 hours
Answer: C
Explanation:
1 hour of labour (A + B) =1/12+1/15=9/60 3/20.Hours worked by (A + C) = 1/12+1/20= 8/60=2/15..Part completed in 2 hours = 3/20 + 2/15 = 17/60..Part completed in 6 hours = 3 x 17/60 = 17/20.The remaining portion is 1 - 17/20 = 3/20.Now it's A and B's turn, and they fill 3/20 of the portion in 1 hour.The total time it took to fill the tank was (6 + 1) hours, which equaled 7 hours.
15. It takes six hours for three pipes A, B, and C to fill a tank. C is closed after 2 hours of joint effort, and A and B can fill the remaining half in 7 hours. C alone took the following amount of time to fill the tank:
a. 10
b. 12
c. 14
d. 16
Answer: C
Explanation:
2/6 = 1/3 = part filled in 2 hours.The remaining portion is equal to 1 - 1/3 = 2/3.7 hours of labour (A + B) = 2/3,1 hour of labour (A Plus B) = 2/21,1 hour of labour by C Equals 1 hour of work by (A + B + C) − (A Plus B) equals 1 hour of labour= 1/6 - 2/21 = 1/14,C can fill the tank in 14 hours by itself.
16. How long will it take for the leak to drain the full cistern?
I. Normally, the cistern is full in 9 hours.
II. Due to a leak in the bottom, it takes an hour longer to fill the cistern than usual.
a. I alone sufficient while II alone not sufficient to answer
b. II alone sufficient while I alone not sufficient to answer
c. Either I or II alone sufficient to answer
d. Both I and II are necessary to answer
Answer: D
Explanation:
I. Filling the cistern without a leak took 9 hours.In 1 hour, a portion of the cistern was filled without leaking = 1/9.II. Filling the cistern in the presence of a leak takes 10 hours.1/10 net filling in 1 hourLeak's work in an hour = 1/9 - 1/10 = 1/90.The full cistern will be emptied in 90 hours due to the leak.
17. When both the input pipe A and the outlet pipe B are opened at the same time, how long will it take to empty the tank?
I.In 16 minutes, I. A can fill the tank.
II. B can drain a full tank in less than eight minutes.
a.I alone sufficient while II alone not sufficient to answer
b. II alone sufficient while I alone not sufficient to answer
c. Either I or II alone sufficient to answer
d. Both I and II are necessary to answer
Answer: D
Explanation:
1 minute of filling work by I. A = 1/16II. 1 minute of filling work = 1/8 (A + B) minute of emptying work = 1/8 -1/16= 1/8,In 16 minutes, the tank will be empty.
As a result, both I and II are required to answer the question.
18. How many hours would it take to fill the tank if both pipes are opened?
I. The tank has a capacity of 400 litres.
II. The pipe A takes 4 hours to fill the tank.
III. The pipe B takes 6 hours to fill the tank.
a. Only I and II
b. Only II and III
c. All I, II and III
d. Any two of the three
Answer: B
Explanation:
II. A filled a quarter of the tank in one hour =Part of the tank filled in 1 hour by B = 1/6,1 hour of work (A + B) = 1/4 + 1/6 = 5/12,A and B will fill the tank in 12/5 hours, which is 2 hours and 24 minutes.As a result, II and III are required.
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