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A water tank has been fitted with two taps P and Q and a drain pipe R. Taps P and Q fill at the rate of 12 litres per minute and 10 litres per minute respectively.
Consider the following statements S1, S2 and S3:
S1: Pipe R drains out at the rate of 6 litres per minute
S2: If both the taps and the drain pipe are opened simultaneously, then the tank is filled in 5 hours 45 minutes
S3: Pipe R drains out (fully) the filled tank in 15 hours 20 minutes.
To know what is the capacity of the tank, which one the following is correct?
S1: Pipe R drains out at the rate of 6 litres per minute
S2: If both the taps and the drain pipe are opened simultaneously, then the tank is filled in 5 hours 45 minutes
S3: Pipe R drains out (fully) the filled tank in 15 hours 20 minutes.
To know what is the capacity of the tank, which one the following is correct?
- a)S2 is only sufficient
- b)S1, S2 and S3 are necessary
- c)Any two out of S1, S2 and S3 are sufficient
- d)None of the above
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A water tank has been fitted with two taps P and Q and a drain pipe R....
Total volume = Flow rate of R × Time taken to empty
Total volume = (Flow rate of P + Flow rate of Q - Flow rate of R) × Time taken to fill if all the taps and drains are open
To use equation 1, two quantities are required
S1 gives flow rate of R = 6 litres per minute
S3 gives time taken to empty = 15 hours 20 minutes
S1 gives flow rate of R = 6 litres per minute
S3 gives time taken to empty = 15 hours 20 minutes
∴ Volume of tank = 6 × (15 × 60 + 20) = 5520 litres [∵ 1 hour = 60 minutes]
To use equation 2,
S1: gives the flow rate of R
S2 gives the total time require to fill if all taps and drains are opened.
S1: gives the flow rate of R
S2 gives the total time require to fill if all taps and drains are opened.
∴ Volume = (12 + 10 - 6) × (5 × 60 + 45)
⇒ 16 × 345 = 5520 litres
Let the volume of the tank be V litres
By S3: Flow rate of Pipe R = V/ (15 × 60 + 20) = V/920
⇒ 16 × 345 = 5520 litres
Let the volume of the tank be V litres
By S3: Flow rate of Pipe R = V/ (15 × 60 + 20) = V/920
Substituting in S2
V = (12 + 10 - V/920) × (5 × 60 + 45)
V/345 = 22 - V/920
V/345 + V/920 = 22
168V/57960 + 63V/57960 = 22
231V/57960 = 22
∴ V = 5520 litres
∴ Any two statements are required to find the capacity of the tank
V = (12 + 10 - V/920) × (5 × 60 + 45)
V/345 = 22 - V/920
V/345 + V/920 = 22
168V/57960 + 63V/57960 = 22
231V/57960 = 22
∴ V = 5520 litres
∴ Any two statements are required to find the capacity of the tank
Most Upvoted Answer
A water tank has been fitted with two taps P and Q and a drain pipe R....
Statement Analysis:
We are given three statements about the water tank with two taps (P and Q) and a drain pipe (R). We need to determine the capacity of the tank based on these statements. Let's analyze each statement one by one.
S1: Pipe R drains out at the rate of 6 litres per minute
This statement provides information about the drain pipe R. It tells us that the drain pipe can empty 6 liters of water from the tank in 1 minute.
S2: If both the taps and the drain pipe are opened simultaneously, then the tank is filled in 5 hours 45 minutes
This statement gives us information about the combined filling and draining of the tank. It states that if both taps P and Q are opened along with the drain pipe R, then the tank gets filled in 5 hours 45 minutes.
S3: Pipe R drains out (fully) the filled tank in 15 hours 20 minutes
This statement provides information about the time taken by the drain pipe R to completely empty the filled tank. It states that it takes 15 hours 20 minutes for the drain pipe R to drain out the entire tank.
Analysis of Statements:
Let's analyze the statements collectively to determine the capacity of the tank.
- Statement S2 tells us the time required to fill the tank when both taps and the drain pipe are open. We can calculate the combined filling rate as follows:
- Tap P fills at a rate of 12 liters per minute
- Tap Q fills at a rate of 10 liters per minute
- Drain pipe R empties at a rate of 6 liters per minute
- Net filling rate = (12 + 10) - 6 = 16 liters per minute
To convert the time given in S2 to minutes, we can use the fact that 1 hour is equal to 60 minutes. Hence, 5 hours 45 minutes is equal to (5 × 60) + 45 = 345 minutes.
Now, we can calculate the tank's capacity using the formula:
Capacity = Filling rate × Time taken = 16 × 345 = 5520 liters
- Statement S3 tells us the time taken by the drain pipe R to empty the filled tank. It states that the drain pipe takes 15 hours 20 minutes to empty the tank completely. Using the same conversion as before, this is equal to (15 × 60) + 20 = 920 minutes.
Conclusion:
From the analysis of the given statements, we have determined the following:
- The tank's capacity is 5520 liters (as calculated in S2).
- The drain pipe R takes 920 minutes to empty the filled tank (as stated in S3).
Therefore, any two out of the three statements S1, S2, and S3 are sufficient to determine the capacity of the tank. The correct answer is option C.
We are given three statements about the water tank with two taps (P and Q) and a drain pipe (R). We need to determine the capacity of the tank based on these statements. Let's analyze each statement one by one.
S1: Pipe R drains out at the rate of 6 litres per minute
This statement provides information about the drain pipe R. It tells us that the drain pipe can empty 6 liters of water from the tank in 1 minute.
S2: If both the taps and the drain pipe are opened simultaneously, then the tank is filled in 5 hours 45 minutes
This statement gives us information about the combined filling and draining of the tank. It states that if both taps P and Q are opened along with the drain pipe R, then the tank gets filled in 5 hours 45 minutes.
S3: Pipe R drains out (fully) the filled tank in 15 hours 20 minutes
This statement provides information about the time taken by the drain pipe R to completely empty the filled tank. It states that it takes 15 hours 20 minutes for the drain pipe R to drain out the entire tank.
Analysis of Statements:
Let's analyze the statements collectively to determine the capacity of the tank.
- Statement S2 tells us the time required to fill the tank when both taps and the drain pipe are open. We can calculate the combined filling rate as follows:
- Tap P fills at a rate of 12 liters per minute
- Tap Q fills at a rate of 10 liters per minute
- Drain pipe R empties at a rate of 6 liters per minute
- Net filling rate = (12 + 10) - 6 = 16 liters per minute
To convert the time given in S2 to minutes, we can use the fact that 1 hour is equal to 60 minutes. Hence, 5 hours 45 minutes is equal to (5 × 60) + 45 = 345 minutes.
Now, we can calculate the tank's capacity using the formula:
Capacity = Filling rate × Time taken = 16 × 345 = 5520 liters
- Statement S3 tells us the time taken by the drain pipe R to empty the filled tank. It states that the drain pipe takes 15 hours 20 minutes to empty the tank completely. Using the same conversion as before, this is equal to (15 × 60) + 20 = 920 minutes.
Conclusion:
From the analysis of the given statements, we have determined the following:
- The tank's capacity is 5520 liters (as calculated in S2).
- The drain pipe R takes 920 minutes to empty the filled tank (as stated in S3).
Therefore, any two out of the three statements S1, S2, and S3 are sufficient to determine the capacity of the tank. The correct answer is option C.
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A water tank has been fitted with two taps P and Q and a drain pipe R. Taps P and Q fill at the rate of 12 litres per minute and 10 litres per minute respectively.Consider the following statements S1, S2 and S3:S1: Pipe R drains out at the rate of 6 litres per minuteS2: If both the taps and the drain pipe are opened simultaneously, then the tank is filled in 5 hours 45 minutesS3: Pipe R drains out (fully) the filled tank in 15 hours 20 minutes.To know what is the capacity of the tank, which one the following is correct?a)S2 is only sufficientb)S1, S2 and S3 are necessaryc)Any two out of S1, S2 and S3 are sufficientd)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
Question Description
A water tank has been fitted with two taps P and Q and a drain pipe R. Taps P and Q fill at the rate of 12 litres per minute and 10 litres per minute respectively.Consider the following statements S1, S2 and S3:S1: Pipe R drains out at the rate of 6 litres per minuteS2: If both the taps and the drain pipe are opened simultaneously, then the tank is filled in 5 hours 45 minutesS3: Pipe R drains out (fully) the filled tank in 15 hours 20 minutes.To know what is the capacity of the tank, which one the following is correct?a)S2 is only sufficientb)S1, S2 and S3 are necessaryc)Any two out of S1, S2 and S3 are sufficientd)None of the aboveCorrect answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A water tank has been fitted with two taps P and Q and a drain pipe R. Taps P and Q fill at the rate of 12 litres per minute and 10 litres per minute respectively.Consider the following statements S1, S2 and S3:S1: Pipe R drains out at the rate of 6 litres per minuteS2: If both the taps and the drain pipe are opened simultaneously, then the tank is filled in 5 hours 45 minutesS3: Pipe R drains out (fully) the filled tank in 15 hours 20 minutes.To know what is the capacity of the tank, which one the following is correct?a)S2 is only sufficientb)S1, S2 and S3 are necessaryc)Any two out of S1, S2 and S3 are sufficientd)None of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A water tank has been fitted with two taps P and Q and a drain pipe R. Taps P and Q fill at the rate of 12 litres per minute and 10 litres per minute respectively.Consider the following statements S1, S2 and S3:S1: Pipe R drains out at the rate of 6 litres per minuteS2: If both the taps and the drain pipe are opened simultaneously, then the tank is filled in 5 hours 45 minutesS3: Pipe R drains out (fully) the filled tank in 15 hours 20 minutes.To know what is the capacity of the tank, which one the following is correct?a)S2 is only sufficientb)S1, S2 and S3 are necessaryc)Any two out of S1, S2 and S3 are sufficientd)None of the aboveCorrect answer is option 'C'. Can you explain this answer?.
A water tank has been fitted with two taps P and Q and a drain pipe R. Taps P and Q fill at the rate of 12 litres per minute and 10 litres per minute respectively.Consider the following statements S1, S2 and S3:S1: Pipe R drains out at the rate of 6 litres per minuteS2: If both the taps and the drain pipe are opened simultaneously, then the tank is filled in 5 hours 45 minutesS3: Pipe R drains out (fully) the filled tank in 15 hours 20 minutes.To know what is the capacity of the tank, which one the following is correct?a)S2 is only sufficientb)S1, S2 and S3 are necessaryc)Any two out of S1, S2 and S3 are sufficientd)None of the aboveCorrect answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A water tank has been fitted with two taps P and Q and a drain pipe R. Taps P and Q fill at the rate of 12 litres per minute and 10 litres per minute respectively.Consider the following statements S1, S2 and S3:S1: Pipe R drains out at the rate of 6 litres per minuteS2: If both the taps and the drain pipe are opened simultaneously, then the tank is filled in 5 hours 45 minutesS3: Pipe R drains out (fully) the filled tank in 15 hours 20 minutes.To know what is the capacity of the tank, which one the following is correct?a)S2 is only sufficientb)S1, S2 and S3 are necessaryc)Any two out of S1, S2 and S3 are sufficientd)None of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A water tank has been fitted with two taps P and Q and a drain pipe R. Taps P and Q fill at the rate of 12 litres per minute and 10 litres per minute respectively.Consider the following statements S1, S2 and S3:S1: Pipe R drains out at the rate of 6 litres per minuteS2: If both the taps and the drain pipe are opened simultaneously, then the tank is filled in 5 hours 45 minutesS3: Pipe R drains out (fully) the filled tank in 15 hours 20 minutes.To know what is the capacity of the tank, which one the following is correct?a)S2 is only sufficientb)S1, S2 and S3 are necessaryc)Any two out of S1, S2 and S3 are sufficientd)None of the aboveCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A water tank has been fitted with two taps P and Q and a drain pipe R. Taps P and Q fill at the rate of 12 litres per minute and 10 litres per minute respectively.Consider the following statements S1, S2 and S3:S1: Pipe R drains out at the rate of 6 litres per minuteS2: If both the taps and the drain pipe are opened simultaneously, then the tank is filled in 5 hours 45 minutesS3: Pipe R drains out (fully) the filled tank in 15 hours 20 minutes.To know what is the capacity of the tank, which one the following is correct?a)S2 is only sufficientb)S1, S2 and S3 are necessaryc)Any two out of S1, S2 and S3 are sufficientd)None of the aboveCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
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Here you can find the meaning of A water tank has been fitted with two taps P and Q and a drain pipe R. Taps P and Q fill at the rate of 12 litres per minute and 10 litres per minute respectively.Consider the following statements S1, S2 and S3:S1: Pipe R drains out at the rate of 6 litres per minuteS2: If both the taps and the drain pipe are opened simultaneously, then the tank is filled in 5 hours 45 minutesS3: Pipe R drains out (fully) the filled tank in 15 hours 20 minutes.To know what is the capacity of the tank, which one the following is correct?a)S2 is only sufficientb)S1, S2 and S3 are necessaryc)Any two out of S1, S2 and S3 are sufficientd)None of the aboveCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A water tank has been fitted with two taps P and Q and a drain pipe R. Taps P and Q fill at the rate of 12 litres per minute and 10 litres per minute respectively.Consider the following statements S1, S2 and S3:S1: Pipe R drains out at the rate of 6 litres per minuteS2: If both the taps and the drain pipe are opened simultaneously, then the tank is filled in 5 hours 45 minutesS3: Pipe R drains out (fully) the filled tank in 15 hours 20 minutes.To know what is the capacity of the tank, which one the following is correct?a)S2 is only sufficientb)S1, S2 and S3 are necessaryc)Any two out of S1, S2 and S3 are sufficientd)None of the aboveCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A water tank has been fitted with two taps P and Q and a drain pipe R. Taps P and Q fill at the rate of 12 litres per minute and 10 litres per minute respectively.Consider the following statements S1, S2 and S3:S1: Pipe R drains out at the rate of 6 litres per minuteS2: If both the taps and the drain pipe are opened simultaneously, then the tank is filled in 5 hours 45 minutesS3: Pipe R drains out (fully) the filled tank in 15 hours 20 minutes.To know what is the capacity of the tank, which one the following is correct?a)S2 is only sufficientb)S1, S2 and S3 are necessaryc)Any two out of S1, S2 and S3 are sufficientd)None of the aboveCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A water tank has been fitted with two taps P and Q and a drain pipe R. Taps P and Q fill at the rate of 12 litres per minute and 10 litres per minute respectively.Consider the following statements S1, S2 and S3:S1: Pipe R drains out at the rate of 6 litres per minuteS2: If both the taps and the drain pipe are opened simultaneously, then the tank is filled in 5 hours 45 minutesS3: Pipe R drains out (fully) the filled tank in 15 hours 20 minutes.To know what is the capacity of the tank, which one the following is correct?a)S2 is only sufficientb)S1, S2 and S3 are necessaryc)Any two out of S1, S2 and S3 are sufficientd)None of the aboveCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A water tank has been fitted with two taps P and Q and a drain pipe R. Taps P and Q fill at the rate of 12 litres per minute and 10 litres per minute respectively.Consider the following statements S1, S2 and S3:S1: Pipe R drains out at the rate of 6 litres per minuteS2: If both the taps and the drain pipe are opened simultaneously, then the tank is filled in 5 hours 45 minutesS3: Pipe R drains out (fully) the filled tank in 15 hours 20 minutes.To know what is the capacity of the tank, which one the following is correct?a)S2 is only sufficientb)S1, S2 and S3 are necessaryc)Any two out of S1, S2 and S3 are sufficientd)None of the aboveCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Defence tests.
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