Quant Exam > Quant Questions > Six litre of milk was taken out from a vessel...
Start Learning for Free
Six litre of milk was taken out from a vessel and is then filled with water. This operation is performed two more times. The ratio of the quantity of milk now left in vessel to that of the water is 8 : 27. How much is the quantity of the milk contained by the vessel originally?
- a)18 litre
- b)16 litre
- c)14 litre
- d)12 litre
- e)None of the Above
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Six litre of milk was taken out from a vessel and is then filled with ...
Answer – A. 18 litre Explanation : [x(1-6/x)/x]³ = (8/27) [x(1-6/x)/x]³ = (2/3)³ (x-6)/x = 2/3 x = 18
Free Test
FREE
| Start Free Test |
Community Answer
Six litre of milk was taken out from a vessel and is then filled with ...
Given:
- Initially, the vessel contains some quantity of milk.
- 6 litres of milk is taken out from the vessel and replaced with water. This operation is performed two more times.
- The ratio of the quantity of milk now left in the vessel to that of the water is 8:27.
To find:
- The quantity of milk contained by the vessel originally.
Solution:
Let's assume the quantity of milk contained by the vessel originally is 'M' litres.
Step 1: First replacement of milk with water
- 6 litres of milk is taken out from the vessel.
- The quantity of milk remaining in the vessel = M - 6 litres.
- 6 litres of water is added to the vessel.
- The quantity of water in the vessel = 6 litres.
- So, the total quantity of liquid in the vessel = (M - 6) + 6 = M litres.
Step 2: Second replacement of milk with water
- 6 litres of liquid is taken out from the vessel, which contains M litres.
- The quantity of milk remaining in the vessel = M - (6/27)M = (21/27)M.
- 6 litres of water is added to the vessel.
- The quantity of water in the vessel = 6 + (6/27)M = (33/27)M.
- So, the total quantity of liquid in the vessel = (21/27)M + (33/27)M = (54/27)M = 2M litres.
Step 3: Third replacement of milk with water
- 6 litres of liquid is taken out from the vessel, which contains 2M litres.
- The quantity of milk remaining in the vessel = 2M - (6/27)(2M) = (45/27)M.
- 6 litres of water is added to the vessel.
- The quantity of water in the vessel = 6 + (6/27)(2M) = (54/27)M = 2M litres.
- So, the total quantity of liquid in the vessel = (45/27)M + 2M = (135/27)M = 5M litres.
Given:
- The ratio of the quantity of milk now left in the vessel to that of the water is 8:27.
- This means that the quantity of milk now left in the vessel = (8/35) * 5M = (8/7)M.
Equating the quantities of milk:
- The quantity of milk remaining in the vessel = (8/7)M.
- Equating this with the quantity of milk remaining in the vessel after the replacements, we get:
(8/7)M = (45/27)M
Calculating the original quantity of milk:
(8/7)M = (45/27)M
8 * 27 = 45 * 7
216 = 315
This is not possible, so our assumption that the quantity of milk contained by the vessel originally is 'M' litres is incorrect.
Conclusion:
Since our assumption is incorrect, there is no valid solution for the original quantity of milk contained by the vessel
- Initially, the vessel contains some quantity of milk.
- 6 litres of milk is taken out from the vessel and replaced with water. This operation is performed two more times.
- The ratio of the quantity of milk now left in the vessel to that of the water is 8:27.
To find:
- The quantity of milk contained by the vessel originally.
Solution:
Let's assume the quantity of milk contained by the vessel originally is 'M' litres.
Step 1: First replacement of milk with water
- 6 litres of milk is taken out from the vessel.
- The quantity of milk remaining in the vessel = M - 6 litres.
- 6 litres of water is added to the vessel.
- The quantity of water in the vessel = 6 litres.
- So, the total quantity of liquid in the vessel = (M - 6) + 6 = M litres.
Step 2: Second replacement of milk with water
- 6 litres of liquid is taken out from the vessel, which contains M litres.
- The quantity of milk remaining in the vessel = M - (6/27)M = (21/27)M.
- 6 litres of water is added to the vessel.
- The quantity of water in the vessel = 6 + (6/27)M = (33/27)M.
- So, the total quantity of liquid in the vessel = (21/27)M + (33/27)M = (54/27)M = 2M litres.
Step 3: Third replacement of milk with water
- 6 litres of liquid is taken out from the vessel, which contains 2M litres.
- The quantity of milk remaining in the vessel = 2M - (6/27)(2M) = (45/27)M.
- 6 litres of water is added to the vessel.
- The quantity of water in the vessel = 6 + (6/27)(2M) = (54/27)M = 2M litres.
- So, the total quantity of liquid in the vessel = (45/27)M + 2M = (135/27)M = 5M litres.
Given:
- The ratio of the quantity of milk now left in the vessel to that of the water is 8:27.
- This means that the quantity of milk now left in the vessel = (8/35) * 5M = (8/7)M.
Equating the quantities of milk:
- The quantity of milk remaining in the vessel = (8/7)M.
- Equating this with the quantity of milk remaining in the vessel after the replacements, we get:
(8/7)M = (45/27)M
Calculating the original quantity of milk:
(8/7)M = (45/27)M
8 * 27 = 45 * 7
216 = 315
This is not possible, so our assumption that the quantity of milk contained by the vessel originally is 'M' litres is incorrect.
Conclusion:
Since our assumption is incorrect, there is no valid solution for the original quantity of milk contained by the vessel
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Six litre of milk was taken out from a vessel and is then filled with water. This operation is performed two more times. The ratio of the quantity of milk now left in vessel to that of the water is 8 : 27. How much is the quantity of the milk contained by the vessel originally?a)18 litreb)16 litrec)14 litred)12 litree)None of the AboveCorrect answer is option 'A'. Can you explain this answer?
Question Description
Six litre of milk was taken out from a vessel and is then filled with water. This operation is performed two more times. The ratio of the quantity of milk now left in vessel to that of the water is 8 : 27. How much is the quantity of the milk contained by the vessel originally?a)18 litreb)16 litrec)14 litred)12 litree)None of the AboveCorrect answer is option 'A'. 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 Six litre of milk was taken out from a vessel and is then filled with water. This operation is performed two more times. The ratio of the quantity of milk now left in vessel to that of the water is 8 : 27. How much is the quantity of the milk contained by the vessel originally?a)18 litreb)16 litrec)14 litred)12 litree)None of the AboveCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Six litre of milk was taken out from a vessel and is then filled with water. This operation is performed two more times. The ratio of the quantity of milk now left in vessel to that of the water is 8 : 27. How much is the quantity of the milk contained by the vessel originally?a)18 litreb)16 litrec)14 litred)12 litree)None of the AboveCorrect answer is option 'A'. Can you explain this answer?.
Six litre of milk was taken out from a vessel and is then filled with water. This operation is performed two more times. The ratio of the quantity of milk now left in vessel to that of the water is 8 : 27. How much is the quantity of the milk contained by the vessel originally?a)18 litreb)16 litrec)14 litred)12 litree)None of the AboveCorrect answer is option 'A'. 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 Six litre of milk was taken out from a vessel and is then filled with water. This operation is performed two more times. The ratio of the quantity of milk now left in vessel to that of the water is 8 : 27. How much is the quantity of the milk contained by the vessel originally?a)18 litreb)16 litrec)14 litred)12 litree)None of the AboveCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Six litre of milk was taken out from a vessel and is then filled with water. This operation is performed two more times. The ratio of the quantity of milk now left in vessel to that of the water is 8 : 27. How much is the quantity of the milk contained by the vessel originally?a)18 litreb)16 litrec)14 litred)12 litree)None of the AboveCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Six litre of milk was taken out from a vessel and is then filled with water. This operation is performed two more times. The ratio of the quantity of milk now left in vessel to that of the water is 8 : 27. How much is the quantity of the milk contained by the vessel originally?a)18 litreb)16 litrec)14 litred)12 litree)None of the AboveCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of Six litre of milk was taken out from a vessel and is then filled with water. This operation is performed two more times. The ratio of the quantity of milk now left in vessel to that of the water is 8 : 27. How much is the quantity of the milk contained by the vessel originally?a)18 litreb)16 litrec)14 litred)12 litree)None of the AboveCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Six litre of milk was taken out from a vessel and is then filled with water. This operation is performed two more times. The ratio of the quantity of milk now left in vessel to that of the water is 8 : 27. How much is the quantity of the milk contained by the vessel originally?a)18 litreb)16 litrec)14 litred)12 litree)None of the AboveCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Six litre of milk was taken out from a vessel and is then filled with water. This operation is performed two more times. The ratio of the quantity of milk now left in vessel to that of the water is 8 : 27. How much is the quantity of the milk contained by the vessel originally?a)18 litreb)16 litrec)14 litred)12 litree)None of the AboveCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Six litre of milk was taken out from a vessel and is then filled with water. This operation is performed two more times. The ratio of the quantity of milk now left in vessel to that of the water is 8 : 27. How much is the quantity of the milk contained by the vessel originally?a)18 litreb)16 litrec)14 litred)12 litree)None of the AboveCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Six litre of milk was taken out from a vessel and is then filled with water. This operation is performed two more times. The ratio of the quantity of milk now left in vessel to that of the water is 8 : 27. How much is the quantity of the milk contained by the vessel originally?a)18 litreb)16 litrec)14 litred)12 litree)None of the AboveCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup