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A vessel is full of refined oil. 1/4 of the refined oil is taken out and the vessel is filled with mustard oil. If the process is repeated 4 times and 10 litres of refined oil is finally left in the vessel, what is the capacity of the vessel?
a)33 litres
b)2460/41 litres
c)2560/81 litres
d)30 litres
Correct answer is option 'C'. Can you explain this answer?
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Given:
1. The vessel is full of refined oil.
2. 1/4 of the refined oil is taken out and the vessel is filled with mustard oil.
3. The above process is repeated 4 times.
4. 10 litres of refined oil is finally left in the vessel.
To find: The capacity of the vessel.
Solution:
Let the capacity of the vessel be x liters.
After the 1st operation, 3/4 of the refined oil is left in the vessel and 1/4 of x liters of refined oil is taken out.
Therefore, the quantity of refined oil left in the vessel = (3/4) x
The quantity of mustard oil added = (1/4) x
Total quantity of oil after the 1st operation = (3/4) x + (1/4) x = x
After the 2nd operation, 3/4 of x liters of oil is left in the vessel and 1/4 of x liters of oil is taken out.
Therefore, the quantity of refined oil left in the vessel = (3/4) (3/4) x
The quantity of mustard oil added = (1/4) (3/4) x
Total quantity of oil after the 2nd operation = (3/4) (3/4) x + (1/4) (3/4) x = (9/16) x
Similarly, after the 3rd operation, the total quantity of oil left in the vessel = (27/64) x
After the 4th operation, the total quantity of oil left in the vessel = (81/256) x
It is given that after the 4th operation, 10 litres of refined oil is left in the vessel.
Therefore, (81/256) x = 10
x = (2560/81) litres
Hence, the capacity of the vessel is 2560/81 litres, which is option (C).
1. The vessel is full of refined oil.
2. 1/4 of the refined oil is taken out and the vessel is filled with mustard oil.
3. The above process is repeated 4 times.
4. 10 litres of refined oil is finally left in the vessel.
To find: The capacity of the vessel.
Solution:
Let the capacity of the vessel be x liters.
After the 1st operation, 3/4 of the refined oil is left in the vessel and 1/4 of x liters of refined oil is taken out.
Therefore, the quantity of refined oil left in the vessel = (3/4) x
The quantity of mustard oil added = (1/4) x
Total quantity of oil after the 1st operation = (3/4) x + (1/4) x = x
After the 2nd operation, 3/4 of x liters of oil is left in the vessel and 1/4 of x liters of oil is taken out.
Therefore, the quantity of refined oil left in the vessel = (3/4) (3/4) x
The quantity of mustard oil added = (1/4) (3/4) x
Total quantity of oil after the 2nd operation = (3/4) (3/4) x + (1/4) (3/4) x = (9/16) x
Similarly, after the 3rd operation, the total quantity of oil left in the vessel = (27/64) x
After the 4th operation, the total quantity of oil left in the vessel = (81/256) x
It is given that after the 4th operation, 10 litres of refined oil is left in the vessel.
Therefore, (81/256) x = 10
x = (2560/81) litres
Hence, the capacity of the vessel is 2560/81 litres, which is option (C).
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A vessel is full of refined oil. 1/4 of the refined oil is taken out and the vessel is filled with mustard oil. If the process is repeated 4 times and 10 litres of refined oil is finally left in the vessel, what is the capacity of the vessel?a)33 litresb)2460/41 litresc)2560/81 litresd)30 litresCorrect answer is option 'C'. Can you explain this answer?
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A vessel is full of refined oil. 1/4 of the refined oil is taken out and the vessel is filled with mustard oil. If the process is repeated 4 times and 10 litres of refined oil is finally left in the vessel, what is the capacity of the vessel?a)33 litresb)2460/41 litresc)2560/81 litresd)30 litresCorrect answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A vessel is full of refined oil. 1/4 of the refined oil is taken out and the vessel is filled with mustard oil. If the process is repeated 4 times and 10 litres of refined oil is finally left in the vessel, what is the capacity of the vessel?a)33 litresb)2460/41 litresc)2560/81 litresd)30 litresCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vessel is full of refined oil. 1/4 of the refined oil is taken out and the vessel is filled with mustard oil. If the process is repeated 4 times and 10 litres of refined oil is finally left in the vessel, what is the capacity of the vessel?a)33 litresb)2460/41 litresc)2560/81 litresd)30 litresCorrect answer is option 'C'. Can you explain this answer?.
A vessel is full of refined oil. 1/4 of the refined oil is taken out and the vessel is filled with mustard oil. If the process is repeated 4 times and 10 litres of refined oil is finally left in the vessel, what is the capacity of the vessel?a)33 litresb)2460/41 litresc)2560/81 litresd)30 litresCorrect answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A vessel is full of refined oil. 1/4 of the refined oil is taken out and the vessel is filled with mustard oil. If the process is repeated 4 times and 10 litres of refined oil is finally left in the vessel, what is the capacity of the vessel?a)33 litresb)2460/41 litresc)2560/81 litresd)30 litresCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vessel is full of refined oil. 1/4 of the refined oil is taken out and the vessel is filled with mustard oil. If the process is repeated 4 times and 10 litres of refined oil is finally left in the vessel, what is the capacity of the vessel?a)33 litresb)2460/41 litresc)2560/81 litresd)30 litresCorrect answer is option 'C'. Can you explain this answer?.
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A vessel is full of refined oil. 1/4 of the refined oil is taken out and the vessel is filled with mustard oil. If the process is repeated 4 times and 10 litres of refined oil is finally left in the vessel, what is the capacity of the vessel?a)33 litresb)2460/41 litresc)2560/81 litresd)30 litresCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A vessel is full of refined oil. 1/4 of the refined oil is taken out and the vessel is filled with mustard oil. If the process is repeated 4 times and 10 litres of refined oil is finally left in the vessel, what is the capacity of the vessel?a)33 litresb)2460/41 litresc)2560/81 litresd)30 litresCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A vessel is full of refined oil. 1/4 of the refined oil is taken out and the vessel is filled with mustard oil. If the process is repeated 4 times and 10 litres of refined oil is finally left in the vessel, what is the capacity of the vessel?a)33 litresb)2460/41 litresc)2560/81 litresd)30 litresCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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