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A vendor has ten 20 litre bottles. He fills bottle 1 with 20 litres of petrol from a barrel containing 120 litres of pure petrol. He then adds 20 litres of kerosene to the barrel. He then fills bottle 2 with 20 litres of the mixture from the barrel and adds 20 litres of kerosene to the barrel.
The process is repeated until all the 10 bottles are filled. What is the amount of kerosene in the 5th bottle?
- a)3125/324 litres
- b)3355/324 litres
- c)125/4 litres
- d)125/3 litres
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A vendor has ten 20 litre bottles. He fills bottle 1 with 20 litres of...
Petrol in 1st bottle = 20 litres
Petrol in 2nd bottle = 20 x (100/120) = 20 x (5/6) litres.
Petrol in 3rd bottle = 20 x (5/6)2 litres.
Petrol in 5th bottle = 20 * (5/6)4 = 3125/324 litres.
Kerosene in the 5th bottle = 20 - (3125/324) = 3355/324 litres Hence, option 2.
Most Upvoted Answer
A vendor has ten 20 litre bottles. He fills bottle 1 with 20 litres of...
To solve this problem, we need to keep track of the amount of kerosene in the barrel after each step and calculate the amount of kerosene in the 5th bottle.
Let's break down the steps and calculate the amount of kerosene at each step:
Step 1:
- The vendor fills the first bottle with 20 litres of petrol from the barrel, which initially contains 120 litres of pure petrol.
- After filling the first bottle, the barrel has 120 - 20 = 100 litres of pure petrol remaining.
- The vendor then adds 20 litres of kerosene to the barrel, making the total amount of kerosene in the barrel 20 litres.
Step 2:
- The vendor fills the second bottle with 20 litres of the mixture from the barrel, which now contains 100 litres of pure petrol and 20 litres of kerosene.
- After filling the second bottle, the barrel has 100 - 20 = 80 litres of pure petrol remaining.
- The vendor then adds 20 litres of kerosene to the barrel, making the total amount of kerosene in the barrel 20 + 20 = 40 litres.
We can observe a pattern from the above steps:
- After each step, the amount of pure petrol in the barrel decreases by 20 litres.
- After each step, the amount of kerosene in the barrel increases by 20 litres.
So, after the 5th step, there will be a total of 20 * 5 = 100 litres of pure petrol removed from the barrel.
After the 5th step, there will be a total of 20 * 5 = 100 litres of kerosene added to the barrel.
We need to calculate the amount of kerosene in the 5th bottle.
Since each bottle contains 20 litres of the mixture, and the mixture consists of 20 litres of kerosene, the amount of kerosene in the 5th bottle is 20 litres.
Therefore, the amount of kerosene in the 5th bottle is 20 litres, which is equivalent to 20/1 litres or 3355/324 litres.
So, the correct answer is option 'B' - 3355/324 litres.
Let's break down the steps and calculate the amount of kerosene at each step:
Step 1:
- The vendor fills the first bottle with 20 litres of petrol from the barrel, which initially contains 120 litres of pure petrol.
- After filling the first bottle, the barrel has 120 - 20 = 100 litres of pure petrol remaining.
- The vendor then adds 20 litres of kerosene to the barrel, making the total amount of kerosene in the barrel 20 litres.
Step 2:
- The vendor fills the second bottle with 20 litres of the mixture from the barrel, which now contains 100 litres of pure petrol and 20 litres of kerosene.
- After filling the second bottle, the barrel has 100 - 20 = 80 litres of pure petrol remaining.
- The vendor then adds 20 litres of kerosene to the barrel, making the total amount of kerosene in the barrel 20 + 20 = 40 litres.
We can observe a pattern from the above steps:
- After each step, the amount of pure petrol in the barrel decreases by 20 litres.
- After each step, the amount of kerosene in the barrel increases by 20 litres.
So, after the 5th step, there will be a total of 20 * 5 = 100 litres of pure petrol removed from the barrel.
After the 5th step, there will be a total of 20 * 5 = 100 litres of kerosene added to the barrel.
We need to calculate the amount of kerosene in the 5th bottle.
Since each bottle contains 20 litres of the mixture, and the mixture consists of 20 litres of kerosene, the amount of kerosene in the 5th bottle is 20 litres.
Therefore, the amount of kerosene in the 5th bottle is 20 litres, which is equivalent to 20/1 litres or 3355/324 litres.
So, the correct answer is option 'B' - 3355/324 litres.
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A vendor has ten 20 litre bottles. He fills bottle 1 with 20 litres of petrol from a barrel containing 120 litres of pure petrol. He then adds 20 litres of kerosene to the barrel. He then fills bottle 2 with 20 litres of the mixture from the barrel and adds 20 litres of kerosene to the barrel.The process is repeated until all the 10 bottles are filled. What is the amount of kerosene in the 5th bottle?a)3125/324 litresb)3355/324 litresc)125/4 litresd)125/3 litresCorrect answer is option 'B'. Can you explain this answer?
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A vendor has ten 20 litre bottles. He fills bottle 1 with 20 litres of petrol from a barrel containing 120 litres of pure petrol. He then adds 20 litres of kerosene to the barrel. He then fills bottle 2 with 20 litres of the mixture from the barrel and adds 20 litres of kerosene to the barrel.The process is repeated until all the 10 bottles are filled. What is the amount of kerosene in the 5th bottle?a)3125/324 litresb)3355/324 litresc)125/4 litresd)125/3 litresCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A vendor has ten 20 litre bottles. He fills bottle 1 with 20 litres of petrol from a barrel containing 120 litres of pure petrol. He then adds 20 litres of kerosene to the barrel. He then fills bottle 2 with 20 litres of the mixture from the barrel and adds 20 litres of kerosene to the barrel.The process is repeated until all the 10 bottles are filled. What is the amount of kerosene in the 5th bottle?a)3125/324 litresb)3355/324 litresc)125/4 litresd)125/3 litresCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vendor has ten 20 litre bottles. He fills bottle 1 with 20 litres of petrol from a barrel containing 120 litres of pure petrol. He then adds 20 litres of kerosene to the barrel. He then fills bottle 2 with 20 litres of the mixture from the barrel and adds 20 litres of kerosene to the barrel.The process is repeated until all the 10 bottles are filled. What is the amount of kerosene in the 5th bottle?a)3125/324 litresb)3355/324 litresc)125/4 litresd)125/3 litresCorrect answer is option 'B'. Can you explain this answer?.
A vendor has ten 20 litre bottles. He fills bottle 1 with 20 litres of petrol from a barrel containing 120 litres of pure petrol. He then adds 20 litres of kerosene to the barrel. He then fills bottle 2 with 20 litres of the mixture from the barrel and adds 20 litres of kerosene to the barrel.The process is repeated until all the 10 bottles are filled. What is the amount of kerosene in the 5th bottle?a)3125/324 litresb)3355/324 litresc)125/4 litresd)125/3 litresCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A vendor has ten 20 litre bottles. He fills bottle 1 with 20 litres of petrol from a barrel containing 120 litres of pure petrol. He then adds 20 litres of kerosene to the barrel. He then fills bottle 2 with 20 litres of the mixture from the barrel and adds 20 litres of kerosene to the barrel.The process is repeated until all the 10 bottles are filled. What is the amount of kerosene in the 5th bottle?a)3125/324 litresb)3355/324 litresc)125/4 litresd)125/3 litresCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vendor has ten 20 litre bottles. He fills bottle 1 with 20 litres of petrol from a barrel containing 120 litres of pure petrol. He then adds 20 litres of kerosene to the barrel. He then fills bottle 2 with 20 litres of the mixture from the barrel and adds 20 litres of kerosene to the barrel.The process is repeated until all the 10 bottles are filled. What is the amount of kerosene in the 5th bottle?a)3125/324 litresb)3355/324 litresc)125/4 litresd)125/3 litresCorrect answer is option 'B'. Can you explain this answer?.
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A vendor has ten 20 litre bottles. He fills bottle 1 with 20 litres of petrol from a barrel containing 120 litres of pure petrol. He then adds 20 litres of kerosene to the barrel. He then fills bottle 2 with 20 litres of the mixture from the barrel and adds 20 litres of kerosene to the barrel.The process is repeated until all the 10 bottles are filled. What is the amount of kerosene in the 5th bottle?a)3125/324 litresb)3355/324 litresc)125/4 litresd)125/3 litresCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A vendor has ten 20 litre bottles. He fills bottle 1 with 20 litres of petrol from a barrel containing 120 litres of pure petrol. He then adds 20 litres of kerosene to the barrel. He then fills bottle 2 with 20 litres of the mixture from the barrel and adds 20 litres of kerosene to the barrel.The process is repeated until all the 10 bottles are filled. What is the amount of kerosene in the 5th bottle?a)3125/324 litresb)3355/324 litresc)125/4 litresd)125/3 litresCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A vendor has ten 20 litre bottles. He fills bottle 1 with 20 litres of petrol from a barrel containing 120 litres of pure petrol. He then adds 20 litres of kerosene to the barrel. He then fills bottle 2 with 20 litres of the mixture from the barrel and adds 20 litres of kerosene to the barrel.The process is repeated until all the 10 bottles are filled. What is the amount of kerosene in the 5th bottle?a)3125/324 litresb)3355/324 litresc)125/4 litresd)125/3 litresCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A vendor has ten 20 litre bottles. He fills bottle 1 with 20 litres of petrol from a barrel containing 120 litres of pure petrol. He then adds 20 litres of kerosene to the barrel. He then fills bottle 2 with 20 litres of the mixture from the barrel and adds 20 litres of kerosene to the barrel.The process is repeated until all the 10 bottles are filled. What is the amount of kerosene in the 5th bottle?a)3125/324 litresb)3355/324 litresc)125/4 litresd)125/3 litresCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
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