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Solve the following question and mark the best possible option.
Three casks of equal capacities contain three liquids A, B & C in the ratio 1 : 2 : 3, 3 : 4 : 5 & 5 : 6 : 7 respectively. The mixtures from these casks are taken in the ratio 1 : 2 : 3 and poured into a 4th cask with the same capacity as that of the three casks and the cask is completely filled. What is the ratio of the liquids A, B and C in the resulting mixture?
- a)25 : 36 : 47
- b)16 : 21 : 26
- c)3 : 4 : 5
- d)1 : 2 : 3
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Solve the following question and mark the best possible option.Three c...
(1 + 2 + 3) = 6, (3 + 4 + 5) = 12 & (5 + 6 + 7) = 18.
Common multiple of (6, 12, 18) = 36.
So let us fix the capacities of the four casks as 36 litres each.
Common multiple of (6, 12, 18) = 36.
So let us fix the capacities of the four casks as 36 litres each.
Since the mixtures are taken in the ratio 1:2:3, 6litres, 12 litres and 18 litres mixture are drawn from the three casks respectively.
Hence the ratio of the liquids in the resulting mixture is 9 : 12 : 15 = 3 : 4 : 5
Hence option 3
Hence option 3
Most Upvoted Answer
Solve the following question and mark the best possible option.Three c...
To solve this question, we need to compare the average concentrations of liquids A, B, and C in each cask.
Let's assume the capacity of each cask is 100 liters.
Cask 1:
Contains liquid A with a concentration of 10%.
So, the amount of liquid A in Cask 1 = 10% of 100 liters = 10 liters.
Cask 2:
Contains liquid B with a concentration of 20%.
So, the amount of liquid B in Cask 2 = 20% of 100 liters = 20 liters.
Cask 3:
Contains liquid C with a concentration of 30%.
So, the amount of liquid C in Cask 3 = 30% of 100 liters = 30 liters.
Now, let's calculate the average concentration of each liquid in each cask:
Cask 1:
Average concentration of liquid A = (Amount of liquid A / Capacity of cask) * 100
= (10 liters / 100 liters) * 100
= 10%
Cask 2:
Average concentration of liquid B = (Amount of liquid B / Capacity of cask) * 100
= (20 liters / 100 liters) * 100
= 20%
Cask 3:
Average concentration of liquid C = (Amount of liquid C / Capacity of cask) * 100
= (30 liters / 100 liters) * 100
= 30%
Therefore, the best possible option is:
Cask 3 contains liquid C with an average concentration of 30%.
Let's assume the capacity of each cask is 100 liters.
Cask 1:
Contains liquid A with a concentration of 10%.
So, the amount of liquid A in Cask 1 = 10% of 100 liters = 10 liters.
Cask 2:
Contains liquid B with a concentration of 20%.
So, the amount of liquid B in Cask 2 = 20% of 100 liters = 20 liters.
Cask 3:
Contains liquid C with a concentration of 30%.
So, the amount of liquid C in Cask 3 = 30% of 100 liters = 30 liters.
Now, let's calculate the average concentration of each liquid in each cask:
Cask 1:
Average concentration of liquid A = (Amount of liquid A / Capacity of cask) * 100
= (10 liters / 100 liters) * 100
= 10%
Cask 2:
Average concentration of liquid B = (Amount of liquid B / Capacity of cask) * 100
= (20 liters / 100 liters) * 100
= 20%
Cask 3:
Average concentration of liquid C = (Amount of liquid C / Capacity of cask) * 100
= (30 liters / 100 liters) * 100
= 30%
Therefore, the best possible option is:
Cask 3 contains liquid C with an average concentration of 30%.
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Solve the following question and mark the best possible option.Three casks of equal capacities contain three liquids A, B & C in the ratio 1 : 2 : 3, 3 : 4 : 5 & 5 : 6 : 7 respectively. The mixtures from these casks are taken in the ratio 1 : 2 : 3 and poured into a 4th cask with the same capacity as that of the three casks and the cask is completely filled. What is the ratio of the liquids A, B and C in the resulting mixture?a)25 : 36 : 47b)16 : 21 : 26c)3 : 4 : 5d)1 : 2 : 3Correct answer is option 'C'. Can you explain this answer?
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Solve the following question and mark the best possible option.Three casks of equal capacities contain three liquids A, B & C in the ratio 1 : 2 : 3, 3 : 4 : 5 & 5 : 6 : 7 respectively. The mixtures from these casks are taken in the ratio 1 : 2 : 3 and poured into a 4th cask with the same capacity as that of the three casks and the cask is completely filled. What is the ratio of the liquids A, B and C in the resulting mixture?a)25 : 36 : 47b)16 : 21 : 26c)3 : 4 : 5d)1 : 2 : 3Correct answer is option 'C'. 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 Solve the following question and mark the best possible option.Three casks of equal capacities contain three liquids A, B & C in the ratio 1 : 2 : 3, 3 : 4 : 5 & 5 : 6 : 7 respectively. The mixtures from these casks are taken in the ratio 1 : 2 : 3 and poured into a 4th cask with the same capacity as that of the three casks and the cask is completely filled. What is the ratio of the liquids A, B and C in the resulting mixture?a)25 : 36 : 47b)16 : 21 : 26c)3 : 4 : 5d)1 : 2 : 3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the following question and mark the best possible option.Three casks of equal capacities contain three liquids A, B & C in the ratio 1 : 2 : 3, 3 : 4 : 5 & 5 : 6 : 7 respectively. The mixtures from these casks are taken in the ratio 1 : 2 : 3 and poured into a 4th cask with the same capacity as that of the three casks and the cask is completely filled. What is the ratio of the liquids A, B and C in the resulting mixture?a)25 : 36 : 47b)16 : 21 : 26c)3 : 4 : 5d)1 : 2 : 3Correct answer is option 'C'. Can you explain this answer?.
Solve the following question and mark the best possible option.Three casks of equal capacities contain three liquids A, B & C in the ratio 1 : 2 : 3, 3 : 4 : 5 & 5 : 6 : 7 respectively. The mixtures from these casks are taken in the ratio 1 : 2 : 3 and poured into a 4th cask with the same capacity as that of the three casks and the cask is completely filled. What is the ratio of the liquids A, B and C in the resulting mixture?a)25 : 36 : 47b)16 : 21 : 26c)3 : 4 : 5d)1 : 2 : 3Correct answer is option 'C'. 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 Solve the following question and mark the best possible option.Three casks of equal capacities contain three liquids A, B & C in the ratio 1 : 2 : 3, 3 : 4 : 5 & 5 : 6 : 7 respectively. The mixtures from these casks are taken in the ratio 1 : 2 : 3 and poured into a 4th cask with the same capacity as that of the three casks and the cask is completely filled. What is the ratio of the liquids A, B and C in the resulting mixture?a)25 : 36 : 47b)16 : 21 : 26c)3 : 4 : 5d)1 : 2 : 3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the following question and mark the best possible option.Three casks of equal capacities contain three liquids A, B & C in the ratio 1 : 2 : 3, 3 : 4 : 5 & 5 : 6 : 7 respectively. The mixtures from these casks are taken in the ratio 1 : 2 : 3 and poured into a 4th cask with the same capacity as that of the three casks and the cask is completely filled. What is the ratio of the liquids A, B and C in the resulting mixture?a)25 : 36 : 47b)16 : 21 : 26c)3 : 4 : 5d)1 : 2 : 3Correct answer is option 'C'. Can you explain this answer?.
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