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Test: Pipes & Cisterns - 2 - UPSC MCQ


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15 Questions MCQ Test - Test: Pipes & Cisterns - 2

Test: Pipes & Cisterns - 2 for UPSC 2024 is part of UPSC preparation. The Test: Pipes & Cisterns - 2 questions and answers have been prepared according to the UPSC exam syllabus.The Test: Pipes & Cisterns - 2 MCQs are made for UPSC 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Pipes & Cisterns - 2 below.
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Test: Pipes & Cisterns - 2 - Question 1

Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?

Detailed Solution for Test: Pipes & Cisterns - 2 - Question 1

Part filled by (A + B + C) in 3 minutes

Part filled by C in 3 minutes = 3/10
∴ Required ratio

Test: Pipes & Cisterns - 2 - Question 2

A tap drips at a rate of one drop/second. 600 drops make 100 ml. The number of liters wasted in 300 days is -

Detailed Solution for Test: Pipes & Cisterns - 2 - Question 2

Correct answer is D.

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Test: Pipes & Cisterns - 2 - Question 3

A tap can completely fill a water tank in 8 hours. The water tank has a hole in it through which the water leaks out. The leakage will cause the full water tank to get empty in 12 hours. How much time will it take for the tap the the tank completely with the hole?

Detailed Solution for Test: Pipes & Cisterns - 2 - Question 3

Net part filled in 1 hour

∴ The tank will be filled in 24 hours

Test: Pipes & Cisterns - 2 - Question 4

Having the same capacity 9 taps fill up a water tank in 20 minutes. How many taps of the same capacity are required to fill up the same water tank in 15 minutes ?

Detailed Solution for Test: Pipes & Cisterns - 2 - Question 4

Test: Pipes & Cisterns - 2 - Question 5

An outlet pipe can empty a cistern in 3 hours. In what time will empty 2/3 of the cistern?

Detailed Solution for Test: Pipes & Cisterns - 2 - Question 5

The outlet pipe empties the one complete cistern in 3 hours
Time taken to empty 2/3 Part of the cistern
= 2/3 × 3
= 2 hours

Test: Pipes & Cisterns - 2 - Question 6

A tank is 7 metre long and 4 meter wide wide. At what speed should water run through a pipe 5 cm broad and 4 cm deep so that in 6 hours and 18 minutes water level in the tank rises by 4.5 meter?

Detailed Solution for Test: Pipes & Cisterns - 2 - Question 6

Rate of flow of water = x cm/minute
∴ Volume of water that flowed in the in 1 minutes
= (5 × 4 × x) = 20 x cu.cm.
∴ Volume of water that flowed in the tank in 6 hours 18 minutes.
i.e. (6 × 60 + 18) = 378 minutes
= 2x × 378 cu. cm.
According to question,
20x × 378 = 700 × 400 × 450

⇒ x = 10 km/hours

Test: Pipes & Cisterns - 2 - Question 7

A tank has a leak which would empty the completely filled tank in 10 hours. If the tank is full of water and a tap is opened which admits 4 litres of water per minute in the tank , the leak takes 15 hours to empty the tank. How many litres of water does the tank hold?

Detailed Solution for Test: Pipes & Cisterns - 2 - Question 7

Let the total capacity of the tank is 30 units.
The efficiency of Leakage(Pipe A) will be 30/10 = 3
And the efficiency of the leakage (Pipe A) and another Pipe (B) which is filling the tank will be 30/15 = 2
Pipe A is emptying at 3 units/hr and when filling pipe B started then the emptying rate will come down to 2 units/hr.
∴ Filling Pipe B efficiency is 3 - 2 = 1unit/hr
Pipe B will be fill the tank in 30/1 = 30 hrs
Filling rate of Pipe B per minute is 4 litter
∴ Total Capacity of tank will be = (4 × 60) × 30 = 7200 litters

Test: Pipes & Cisterns - 2 - Question 8

A pump can fill a tank with water in 2 hours. Because of a leak, it took  hours to to fill the tank. The leak can drain all the water of the tank in?

Detailed Solution for Test: Pipes & Cisterns - 2 - Question 8

Work done by the leak in 1 hour

∴ Leak will empty the tank in 14 hours

Test: Pipes & Cisterns - 2 - Question 9

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-

Detailed Solution for Test: Pipes & Cisterns - 2 - Question 9

Let the slower pipe alone fill the tank in x minutes
Then, Faster pipe alone will fill it in x/3 minutes

So slower pipe alone will fill the tank in 144 min.

Test: Pipes & Cisterns - 2 - Question 10

A swimming pool is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the pool in the same time during which the pool is filled by the third pipe alone. The second pipe fills the pool 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is?

Detailed Solution for Test: Pipes & Cisterns - 2 - Question 10

Suppose first pipe alone takes x hours to fill the tank.
Then second and third pipes will takes (x - 5) and (x - 9) hours respectively to fill the tank.

So, first pipe alone takes 15 hrs to fill the tank.

Test: Pipes & Cisterns - 2 - Question 11

12 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?

Detailed Solution for Test: Pipes & Cisterns - 2 - Question 11

Capacity of the tank
= (12 × 13.5) litres
= 162 litres
Capacity of each bucket = 9 litres
Number of buckets needed
= (162/29)
= 18

Test: Pipes & Cisterns - 2 - Question 12

A pipe can fill a tank in 3 hours. There are two outlet pipes from the tank which can empty it in 7 and 10 hours respectively. If all the three pipes are opened simultaneously, then the tank will be filled in -

Detailed Solution for Test: Pipes & Cisterns - 2 - Question 12

Net part filled in 1 hour

∴ The tank will be filled in 210/19
 hours i.e.
≅11 hours.

Test: Pipes & Cisterns - 2 - Question 13

A pipe can fill a tank with water in 3 hours. Due to leakage in bottom, it takes 3(1/2) hours to fill it. In what time the leak will empty the completely filled tank?

Detailed Solution for Test: Pipes & Cisterns - 2 - Question 13

Let the total capacity of tank is 21 units
A's efficiency is 7 units/hr
A's efficiency after leakage 6 units/hr
leakage efficiency = 7 - 6 = 1 unit/hr
leakage will empty the filled tank

= 21 hours

Test: Pipes & Cisterns - 2 - Question 14

3/4 part of the tank is full of water. When 30 litres of water is taken out, the tank becomes empty. The capacity of the tank is -

Detailed Solution for Test: Pipes & Cisterns - 2 - Question 14

If tank has 4x liters of total capacity and its holds 3x liters of water and if 30 liters of water is taken out, then tank becomes empty.
It means 3x liters of water is taken out
3x = 30 liters
x = 10 liters
Capacity of tank
= 4x = 4 × 10 = 40 liters

Test: Pipes & Cisterns - 2 - Question 15

Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?

Detailed Solution for Test: Pipes & Cisterns - 2 - Question 15

Let the cistern be filled by pipe A alone in x hours.
Then, pipe B will fill it in (x + 6) hours

⇒ x = 6 [neglecting the negative value of x]

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