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Three vessels A, B and C of capacity 120 litres each contain a mixture of alcohol and spirit. Vessel A contains 100 litres of the mixture with 65% alcohol. Vessel B has 70% alcohol and this vessel is half empty. The vessel C has 80 litres of mixture out of which 20 litres are spirit. Now, the mixture from vessel A is poured into vessel B until vessel B is completely filled. Then the mixture from vessel B is poured into vessel until C is completely filled. Now the entire mixture from vessel C is poured into the vessels A and B. What is the ratio of alcohol in vessels A and B ?
- a)4/5
- b)9/10
- c)84/83
- d)28/27
- e)23/22
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Three vessels A, B and C of capacity 120 litres each contain a mixture...
Understanding the Initial Mixtures
- Vessel A: Contains 100 litres of a mixture with 65% alcohol.
- Alcohol in A = 65% of 100 = 65 litres
- Spirit in A = 100 - 65 = 35 litres
- Vessel B: Half empty, total capacity = 120 litres, so contains 60 litres of a mixture with 70% alcohol.
- Alcohol in B = 70% of 60 = 42 litres
- Spirit in B = 60 - 42 = 18 litres
- Vessel C: Contains 80 litres of a mixture, with 20 litres being spirit.
- Alcohol in C = 80 - 20 = 60 litres
Pouring Mixtures Between Vessels
- Pouring from A to B:
- Vessel B can hold 60 more litres. Thus, 60 litres from A are poured into B.
- Alcohol in poured mixture from A = 65% of 60 = 39 litres
- Spirit in poured mixture from A = 60 - 39 = 21 litres
- New Contents of Vessel B:
- Total Alcohol in B = 42 (original) + 39 (from A) = 81 litres
- Total Spirit in B = 18 (original) + 21 (from A) = 39 litres
- Total mixture in B = 120 litres.
- Pouring from B to C:
- Vessel C needs 40 litres to be full.
- Mixture ratio in B = 81/120 alcohol and 39/120 spirit.
- Alcohol in poured mixture = (81/120) * 40 = 27 litres
- Spirit in poured mixture = (39/120) * 40 = 13 litres
Final Mixture in Vessel C
- Total in Vessel C after pouring:
- Alcohol = 60 (original) + 27 = 87 litres
- Spirit = 20 (original) + 13 = 33 litres
- Total = 120 litres.
Final Calculation for Ratio
- Pour C into A and B:
- Alcohol in A remains 65 litres, and B has 81 litres.
- Total Alcohol in A and B = 65 + 81 + 87 = 233 litres.
- Total Volume:
- Total mixture in A and B = 100 + 120 = 220 litres.
- Ratio of Alcohol in A and B:
- Alcohol ratio = 233/220 = 84/83.
Thus, the correct answer is option 'C'.
- Vessel A: Contains 100 litres of a mixture with 65% alcohol.
- Alcohol in A = 65% of 100 = 65 litres
- Spirit in A = 100 - 65 = 35 litres
- Vessel B: Half empty, total capacity = 120 litres, so contains 60 litres of a mixture with 70% alcohol.
- Alcohol in B = 70% of 60 = 42 litres
- Spirit in B = 60 - 42 = 18 litres
- Vessel C: Contains 80 litres of a mixture, with 20 litres being spirit.
- Alcohol in C = 80 - 20 = 60 litres
Pouring Mixtures Between Vessels
- Pouring from A to B:
- Vessel B can hold 60 more litres. Thus, 60 litres from A are poured into B.
- Alcohol in poured mixture from A = 65% of 60 = 39 litres
- Spirit in poured mixture from A = 60 - 39 = 21 litres
- New Contents of Vessel B:
- Total Alcohol in B = 42 (original) + 39 (from A) = 81 litres
- Total Spirit in B = 18 (original) + 21 (from A) = 39 litres
- Total mixture in B = 120 litres.
- Pouring from B to C:
- Vessel C needs 40 litres to be full.
- Mixture ratio in B = 81/120 alcohol and 39/120 spirit.
- Alcohol in poured mixture = (81/120) * 40 = 27 litres
- Spirit in poured mixture = (39/120) * 40 = 13 litres
Final Mixture in Vessel C
- Total in Vessel C after pouring:
- Alcohol = 60 (original) + 27 = 87 litres
- Spirit = 20 (original) + 13 = 33 litres
- Total = 120 litres.
Final Calculation for Ratio
- Pour C into A and B:
- Alcohol in A remains 65 litres, and B has 81 litres.
- Total Alcohol in A and B = 65 + 81 + 87 = 233 litres.
- Total Volume:
- Total mixture in A and B = 100 + 120 = 220 litres.
- Ratio of Alcohol in A and B:
- Alcohol ratio = 233/220 = 84/83.
Thus, the correct answer is option 'C'.
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Three vessels A, B and C of capacity 120 litres each contain a mixture of alcohol and spirit. Vessel A contains 100 litres of the mixture with 65% alcohol. Vessel B has 70% alcohol and this vessel is half empty. The vessel C has 80 litres of mixture out of which 20 litres are spirit. Now, the mixture from vessel A is poured into vessel B until vessel B is completely filled. Then the mixture from vessel B is poured into vessel until C is completely filled. Now the entire mixture from vessel C is poured into the vessels A and B. What is the ratio of alcohol in vessels A and B ?a)4/5b)9/10c)84/83d)28/27e)23/22Correct answer is option 'C'. Can you explain this answer?
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Three vessels A, B and C of capacity 120 litres each contain a mixture of alcohol and spirit. Vessel A contains 100 litres of the mixture with 65% alcohol. Vessel B has 70% alcohol and this vessel is half empty. The vessel C has 80 litres of mixture out of which 20 litres are spirit. Now, the mixture from vessel A is poured into vessel B until vessel B is completely filled. Then the mixture from vessel B is poured into vessel until C is completely filled. Now the entire mixture from vessel C is poured into the vessels A and B. What is the ratio of alcohol in vessels A and B ?a)4/5b)9/10c)84/83d)28/27e)23/22Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Three vessels A, B and C of capacity 120 litres each contain a mixture of alcohol and spirit. Vessel A contains 100 litres of the mixture with 65% alcohol. Vessel B has 70% alcohol and this vessel is half empty. The vessel C has 80 litres of mixture out of which 20 litres are spirit. Now, the mixture from vessel A is poured into vessel B until vessel B is completely filled. Then the mixture from vessel B is poured into vessel until C is completely filled. Now the entire mixture from vessel C is poured into the vessels A and B. What is the ratio of alcohol in vessels A and B ?a)4/5b)9/10c)84/83d)28/27e)23/22Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three vessels A, B and C of capacity 120 litres each contain a mixture of alcohol and spirit. Vessel A contains 100 litres of the mixture with 65% alcohol. Vessel B has 70% alcohol and this vessel is half empty. The vessel C has 80 litres of mixture out of which 20 litres are spirit. Now, the mixture from vessel A is poured into vessel B until vessel B is completely filled. Then the mixture from vessel B is poured into vessel until C is completely filled. Now the entire mixture from vessel C is poured into the vessels A and B. What is the ratio of alcohol in vessels A and B ?a)4/5b)9/10c)84/83d)28/27e)23/22Correct answer is option 'C'. Can you explain this answer?.
Three vessels A, B and C of capacity 120 litres each contain a mixture of alcohol and spirit. Vessel A contains 100 litres of the mixture with 65% alcohol. Vessel B has 70% alcohol and this vessel is half empty. The vessel C has 80 litres of mixture out of which 20 litres are spirit. Now, the mixture from vessel A is poured into vessel B until vessel B is completely filled. Then the mixture from vessel B is poured into vessel until C is completely filled. Now the entire mixture from vessel C is poured into the vessels A and B. What is the ratio of alcohol in vessels A and B ?a)4/5b)9/10c)84/83d)28/27e)23/22Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Three vessels A, B and C of capacity 120 litres each contain a mixture of alcohol and spirit. Vessel A contains 100 litres of the mixture with 65% alcohol. Vessel B has 70% alcohol and this vessel is half empty. The vessel C has 80 litres of mixture out of which 20 litres are spirit. Now, the mixture from vessel A is poured into vessel B until vessel B is completely filled. Then the mixture from vessel B is poured into vessel until C is completely filled. Now the entire mixture from vessel C is poured into the vessels A and B. What is the ratio of alcohol in vessels A and B ?a)4/5b)9/10c)84/83d)28/27e)23/22Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three vessels A, B and C of capacity 120 litres each contain a mixture of alcohol and spirit. Vessel A contains 100 litres of the mixture with 65% alcohol. Vessel B has 70% alcohol and this vessel is half empty. The vessel C has 80 litres of mixture out of which 20 litres are spirit. Now, the mixture from vessel A is poured into vessel B until vessel B is completely filled. Then the mixture from vessel B is poured into vessel until C is completely filled. Now the entire mixture from vessel C is poured into the vessels A and B. What is the ratio of alcohol in vessels A and B ?a)4/5b)9/10c)84/83d)28/27e)23/22Correct answer is option 'C'. Can you explain this answer?.
Solutions for Three vessels A, B and C of capacity 120 litres each contain a mixture of alcohol and spirit. Vessel A contains 100 litres of the mixture with 65% alcohol. Vessel B has 70% alcohol and this vessel is half empty. The vessel C has 80 litres of mixture out of which 20 litres are spirit. Now, the mixture from vessel A is poured into vessel B until vessel B is completely filled. Then the mixture from vessel B is poured into vessel until C is completely filled. Now the entire mixture from vessel C is poured into the vessels A and B. What is the ratio of alcohol in vessels A and B ?a)4/5b)9/10c)84/83d)28/27e)23/22Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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Three vessels A, B and C of capacity 120 litres each contain a mixture of alcohol and spirit. Vessel A contains 100 litres of the mixture with 65% alcohol. Vessel B has 70% alcohol and this vessel is half empty. The vessel C has 80 litres of mixture out of which 20 litres are spirit. Now, the mixture from vessel A is poured into vessel B until vessel B is completely filled. Then the mixture from vessel B is poured into vessel until C is completely filled. Now the entire mixture from vessel C is poured into the vessels A and B. What is the ratio of alcohol in vessels A and B ?a)4/5b)9/10c)84/83d)28/27e)23/22Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Three vessels A, B and C of capacity 120 litres each contain a mixture of alcohol and spirit. Vessel A contains 100 litres of the mixture with 65% alcohol. Vessel B has 70% alcohol and this vessel is half empty. The vessel C has 80 litres of mixture out of which 20 litres are spirit. Now, the mixture from vessel A is poured into vessel B until vessel B is completely filled. Then the mixture from vessel B is poured into vessel until C is completely filled. Now the entire mixture from vessel C is poured into the vessels A and B. What is the ratio of alcohol in vessels A and B ?a)4/5b)9/10c)84/83d)28/27e)23/22Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Three vessels A, B and C of capacity 120 litres each contain a mixture of alcohol and spirit. Vessel A contains 100 litres of the mixture with 65% alcohol. Vessel B has 70% alcohol and this vessel is half empty. The vessel C has 80 litres of mixture out of which 20 litres are spirit. Now, the mixture from vessel A is poured into vessel B until vessel B is completely filled. Then the mixture from vessel B is poured into vessel until C is completely filled. Now the entire mixture from vessel C is poured into the vessels A and B. What is the ratio of alcohol in vessels A and B ?a)4/5b)9/10c)84/83d)28/27e)23/22Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Three vessels A, B and C of capacity 120 litres each contain a mixture of alcohol and spirit. Vessel A contains 100 litres of the mixture with 65% alcohol. Vessel B has 70% alcohol and this vessel is half empty. The vessel C has 80 litres of mixture out of which 20 litres are spirit. Now, the mixture from vessel A is poured into vessel B until vessel B is completely filled. Then the mixture from vessel B is poured into vessel until C is completely filled. Now the entire mixture from vessel C is poured into the vessels A and B. What is the ratio of alcohol in vessels A and B ?a)4/5b)9/10c)84/83d)28/27e)23/22Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.
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