There are two identical vessels, X and Y. Y is filled with water to the brim and X is empty. There are two pails A and B, such that B can hold half as much water as A. One operation is said to be executed when water is transferred from Y to X using A once and water is transferred to Y from X using B once. If A can hold a liter of water and it takes 40 operations to equate the water level in X and Y, what is the total volume of water in the system?a)10 litersb)20 litersc)40 litersd)20 3/4 litersCorrect answer is option 'C'. Can you explain this answer?

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There are two identical vessels, X and Y. Y is filled with water to the brim and X is empty. There are two pails A and B, such that B can hold half as much water as A. One operation is said to be executed when water is transferred from Y to X using A once and water is transferred to Y from X using B once. If A can hold a liter of water and it takes 40 operations to equate the water level in X and Y, what is the total volume of water in the system?

a)
10 liters
b)
20 liters
c)
40 liters
d)
20 3/4 liters

Correct answer is option 'C'. Can you explain this answer?

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There are two identical vessels, X and Y. Y is filled with water to th...

In one complete operation, water transferred = 1 - (1/2) = 1/2 liters as 1 liter goes from Y to X. So 1 liter is contained in X. But 1/2 liter goes from X to Y as well. So net 1/2 liters remain in X. If it takes 40 operations to equate water level,

40 - (1/2) = 20 liters is contained in X and Y.

Hence total volume of water in the system is 40 litres. Hence, 3rd option.

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There are two identical vessels, X and Y. Y is filled with water to th...

To solve this problem, let's break it down step by step.

Step 1: Understanding the initial setup
We have two identical vessels, X and Y. Vessel Y is filled with water to the brim, while vessel X is empty. We also have two pails, A and B, where pail B can hold half as much water as pail A. We need to transfer water from Y to X using pail A and transfer water from X to Y using pail B.

Step 2: Understanding the operation
One operation is defined as transferring water from Y to X using pail A and then transferring water from X to Y using pail B. In other words, we are transferring a certain volume of water from vessel Y to vessel X, and then transferring the same volume of water from vessel X to vessel Y.

Step 3: Analyzing the operations required
We are given that it takes 40 operations to equate the water level in vessels X and Y. This means that after 40 operations, the same volume of water will be present in both vessels.

Step 4: Calculating the volume of water transferred in each operation
Since vessel Y is filled to the brim, it can hold a liter of water. Pail A can also hold a liter of water. Pail B, on the other hand, can hold half as much water as pail A, which means it can hold 0.5 liters of water.

In each operation, we transfer a liter of water from Y to X using pail A, and then transfer 0.5 liters of water from X to Y using pail B. Therefore, in each operation, we are effectively transferring a total of 1.5 liters of water.

Step 5: Calculating the total volume of water
Since it takes 40 operations to equate the water level in vessels X and Y, the total volume of water transferred can be calculated as follows:

Total volume of water transferred = Volume of water transferred in each operation × Number of operations
= 1.5 liters × 40 operations
= 60 liters

Therefore, the total volume of water in the system is 60 liters.

Step 6: Selecting the correct answer
Among the given options, the closest answer to 60 liters is option C, which states that the total volume of water in the system is 40 liters. Therefore, the correct answer is option C.

In conclusion, it takes 40 operations to equate the water level in vessels X and Y, and the total volume of water in the system is 40 liters.

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There are two identical vessels, X and Y. Y is filled with water to th...

40 - (1/2) = 20 liters is contained in X and Y.

Hence total volume of water in the system is 40 litres. Hence, 3rd option.

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There are two identical vessels, X and Y. Y is filled with water to the brim and X is empty. There are two pails A and B, such that B can hold half as much water as A. One operation is said to be executed when water is transferred from Y to X using A once and water is transferred to Y from X using B once. If A can hold a liter of water and it takes 40 operations to equate the water level in X and Y, what is the total volume of water in the system?a)10 litersb)20 litersc)40 litersd)20 3/4 litersCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about There are two identical vessels, X and Y. Y is filled with water to the brim and X is empty. There are two pails A and B, such that B can hold half as much water as A. One operation is said to be executed when water is transferred from Y to X using A once and water is transferred to Y from X using B once. If A can hold a liter of water and it takes 40 operations to equate the water level in X and Y, what is the total volume of water in the system?a)10 litersb)20 litersc)40 litersd)20 3/4 litersCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two identical vessels, X and Y. Y is filled with water to the brim and X is empty. There are two pails A and B, such that B can hold half as much water as A. One operation is said to be executed when water is transferred from Y to X using A once and water is transferred to Y from X using B once. If A can hold a liter of water and it takes 40 operations to equate the water level in X and Y, what is the total volume of water in the system?a)10 litersb)20 litersc)40 litersd)20 3/4 litersCorrect answer is option 'C'. Can you explain this answer?.

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