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Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4:3:2. Then the resulting mixture has
- a)The same amount of water and liquid B
- b)same amount of liquids B and C
- c)More water than liquid B
- d)More water than liquid A
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Consider three mixtures - the first having water and liquid A in the r...
Mixtures A, B, & C are mixed in the ratio 4 : 3 : 2
--> Let the volumes = 4k, 3k, 2k respectively
Mixtures ---- Ratio ---- Water ------ Liquid
Mixture A --- 1 : 2 ---- 4k(1/3) ---- 4k(2/3)
Mixture B --- 1 : 3 ---- 3k(1/4) ---- 3k(3/4)
Mixture C --- 1 : 4 ---- 2k(1/5) ---- 2k(4/5)
--> Let the volumes = 4k, 3k, 2k respectively
Mixtures ---- Ratio ---- Water ------ Liquid
Mixture A --- 1 : 2 ---- 4k(1/3) ---- 4k(2/3)
Mixture B --- 1 : 3 ---- 3k(1/4) ---- 3k(3/4)
Mixture C --- 1 : 4 ---- 2k(1/5) ---- 2k(4/5)
Assume k = 60 [LCM(3, 4, 5) = 60]
Volume of Liquid A = 8k/3 = 160
Volume of Liquid B = 9k/4 = 135
Volume of Liquid C = 8k/5 = 96
Volume of water = 4k/3 + 3k/4 + 2k/5 = 80 + 45 + 24 = 149
Volume of Liquid A = 8k/3 = 160
Volume of Liquid B = 9k/4 = 135
Volume of Liquid C = 8k/5 = 96
Volume of water = 4k/3 + 3k/4 + 2k/5 = 80 + 45 + 24 = 149
--> There is more water than Liquid B
Most Upvoted Answer
Consider three mixtures - the first having water and liquid A in the r...
To solve this problem, we need to consider the ratios of the mixtures and the proportions in which they are further mixed. Let's break down the problem step by step:
Step 1: Initial Mixtures
The three initial mixtures are:
- Mixture 1: Water and liquid A in the ratio 1:2
- Mixture 2: Water and liquid B in the ratio 1:3
- Mixture 3: Water and liquid C in the ratio 1:4
Step 2: Further Mixing
The three initial mixtures are further mixed in the proportion 4:3:2, respectively. This means that for every 4 units of mixture 1, 3 units of mixture 2, and 2 units of mixture 3 are mixed together.
Step 3: Calculating the Resulting Mixture
To calculate the resulting mixture, we need to determine the ratio of water to liquid in the mixture. Let's calculate it:
- Mixture 1 contains water and liquid A in the ratio 1:2. So, for every 1 unit of water, there are 2 units of liquid A.
- Mixture 2 contains water and liquid B in the ratio 1:3. So, for every 1 unit of water, there are 3 units of liquid B.
- Mixture 3 contains water and liquid C in the ratio 1:4. So, for every 1 unit of water, there are 4 units of liquid C.
Now, let's calculate the total amount of water and liquid in the resulting mixture:
- Water: (4 units of mixture 1) + (3 units of mixture 2) + (2 units of mixture 3) = 4 + 3 + 2 = 9 units of water
- Liquid A: 2 units of mixture 1 = 2 units
- Liquid B: 3 units of mixture 2 = 3 units
- Liquid C: 4 units of mixture 3 = 4 units
Step 4: Comparing the Amounts
From the calculations above, we can see that the resulting mixture has more water (9 units) than any of the liquids A, B, or C. Therefore, the correct answer is option C: "More water than liquid B".
Step 1: Initial Mixtures
The three initial mixtures are:
- Mixture 1: Water and liquid A in the ratio 1:2
- Mixture 2: Water and liquid B in the ratio 1:3
- Mixture 3: Water and liquid C in the ratio 1:4
Step 2: Further Mixing
The three initial mixtures are further mixed in the proportion 4:3:2, respectively. This means that for every 4 units of mixture 1, 3 units of mixture 2, and 2 units of mixture 3 are mixed together.
Step 3: Calculating the Resulting Mixture
To calculate the resulting mixture, we need to determine the ratio of water to liquid in the mixture. Let's calculate it:
- Mixture 1 contains water and liquid A in the ratio 1:2. So, for every 1 unit of water, there are 2 units of liquid A.
- Mixture 2 contains water and liquid B in the ratio 1:3. So, for every 1 unit of water, there are 3 units of liquid B.
- Mixture 3 contains water and liquid C in the ratio 1:4. So, for every 1 unit of water, there are 4 units of liquid C.
Now, let's calculate the total amount of water and liquid in the resulting mixture:
- Water: (4 units of mixture 1) + (3 units of mixture 2) + (2 units of mixture 3) = 4 + 3 + 2 = 9 units of water
- Liquid A: 2 units of mixture 1 = 2 units
- Liquid B: 3 units of mixture 2 = 3 units
- Liquid C: 4 units of mixture 3 = 4 units
Step 4: Comparing the Amounts
From the calculations above, we can see that the resulting mixture has more water (9 units) than any of the liquids A, B, or C. Therefore, the correct answer is option C: "More water than liquid B".
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Community Answer
Consider three mixtures - the first having water and liquid A in the r...
The resulting mixture is 9:25 ( jus multiplying )
which is less water then a ( 4th not satisfied ) but more water than we (c satisfied as 1:3 is 9:27)
which is less water then a ( 4th not satisfied ) but more water than we (c satisfied as 1:3 is 9:27)
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Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4:3:2. Then the resulting mixture hasa)The same amount of water and liquid Bb)same amount of liquids B and Cc)More water than liquid Bd)More water than liquid ACorrect answer is option 'C'. Can you explain this answer?
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Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4:3:2. Then the resulting mixture hasa)The same amount of water and liquid Bb)same amount of liquids B and Cc)More water than liquid Bd)More water than liquid ACorrect 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 Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4:3:2. Then the resulting mixture hasa)The same amount of water and liquid Bb)same amount of liquids B and Cc)More water than liquid Bd)More water than liquid ACorrect 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 Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4:3:2. Then the resulting mixture hasa)The same amount of water and liquid Bb)same amount of liquids B and Cc)More water than liquid Bd)More water than liquid ACorrect answer is option 'C'. Can you explain this answer?.
Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4:3:2. Then the resulting mixture hasa)The same amount of water and liquid Bb)same amount of liquids B and Cc)More water than liquid Bd)More water than liquid ACorrect 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 Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4:3:2. Then the resulting mixture hasa)The same amount of water and liquid Bb)same amount of liquids B and Cc)More water than liquid Bd)More water than liquid ACorrect 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 Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4:3:2. Then the resulting mixture hasa)The same amount of water and liquid Bb)same amount of liquids B and Cc)More water than liquid Bd)More water than liquid ACorrect answer is option 'C'. Can you explain this answer?.
Solutions for Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4:3:2. Then the resulting mixture hasa)The same amount of water and liquid Bb)same amount of liquids B and Cc)More water than liquid Bd)More water than liquid ACorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4:3:2. Then the resulting mixture hasa)The same amount of water and liquid Bb)same amount of liquids B and Cc)More water than liquid Bd)More water than liquid ACorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4:3:2. Then the resulting mixture hasa)The same amount of water and liquid Bb)same amount of liquids B and Cc)More water than liquid Bd)More water than liquid ACorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4:3:2. Then the resulting mixture hasa)The same amount of water and liquid Bb)same amount of liquids B and Cc)More water than liquid Bd)More water than liquid ACorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4:3:2. Then the resulting mixture hasa)The same amount of water and liquid Bb)same amount of liquids B and Cc)More water than liquid Bd)More water than liquid ACorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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