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The percentage volumes of milk in three solutions A, B and C from a geometric progression in the order. If we mix the first, second and third solutions in the ratio 2 : 3 : 4 by volume, we obtain a solution containing 32% milk. If we mix them in the ratio 3 : 2 : 1, by volume, we obtain a solution containing 22% milk, What is the percentage of milk in A?
(2014)
- a)6%
- b)12%
- c)18%
- d)24%
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The percentage volumes of milk in three solutions A, B and C from a ge...
Let percentage volume of milk in solution A, B and C vessels is a, ar and ar2 respectively. (Because geometric progression)
According to question,
...(i)
...(ii)
From (i) & (ii) we get a = 12 and r = 2.
∴ The percentage of milk in A = 12%.
According to question,
...(i) ...(ii)From (i) & (ii) we get a = 12 and r = 2.
∴ The percentage of milk in A = 12%.
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The percentage volumes of milk in three solutions A, B and C from a ge...
Given information:
- Percentage volumes of milk in three solutions A, B, and C are in geometric progression.
- A, B, and C are mixed in the ratio 2:3:4 to obtain a solution containing 32% milk.
- A, B, and C are mixed in the ratio 3:2:1 to obtain a solution containing 22% milk.
Let's assume the percentage volumes of milk in A, B, and C are x, xr, and xr², respectively (since they are in geometric progression).
Mixing in the ratio 2:3:4, we can write:
(2x + 3xr + 4xr²)/(2 + 3 + 4) = 32
Simplifying this, we get:
6xr² + 11xr - 64x = 0
Mixing in the ratio 3:2:1, we can write:
(3x + 2xr + xr²)/(3 + 2 + 1) = 22
Simplifying this, we get:
xr² + 2xr - 30x = 0
Solving these two equations simultaneously, we get:
x = 12% (ignoring the extraneous root)
Therefore, the percentage of milk in solution A is 12%.
- Percentage volumes of milk in three solutions A, B, and C are in geometric progression.
- A, B, and C are mixed in the ratio 2:3:4 to obtain a solution containing 32% milk.
- A, B, and C are mixed in the ratio 3:2:1 to obtain a solution containing 22% milk.
Let's assume the percentage volumes of milk in A, B, and C are x, xr, and xr², respectively (since they are in geometric progression).
Mixing in the ratio 2:3:4, we can write:
(2x + 3xr + 4xr²)/(2 + 3 + 4) = 32
Simplifying this, we get:
6xr² + 11xr - 64x = 0
Mixing in the ratio 3:2:1, we can write:
(3x + 2xr + xr²)/(3 + 2 + 1) = 22
Simplifying this, we get:
xr² + 2xr - 30x = 0
Solving these two equations simultaneously, we get:
x = 12% (ignoring the extraneous root)
Therefore, the percentage of milk in solution A is 12%.
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The percentage volumes of milk in three solutions A, B and C from a geometric progression in the order. If we mix the first, second and third solutions in the ratio 2 : 3 : 4 by volume, we obtain a solution containing 32% milk. If we mix them in the ratio 3 : 2 : 1, by volume, we obtain a solution containing 22% milk, What is the percentage of milk in A?(2014)a)6%b)12%c)18%d)24%Correct answer is option 'B'. Can you explain this answer?
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The percentage volumes of milk in three solutions A, B and C from a geometric progression in the order. If we mix the first, second and third solutions in the ratio 2 : 3 : 4 by volume, we obtain a solution containing 32% milk. If we mix them in the ratio 3 : 2 : 1, by volume, we obtain a solution containing 22% milk, What is the percentage of milk in A?(2014)a)6%b)12%c)18%d)24%Correct answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The percentage volumes of milk in three solutions A, B and C from a geometric progression in the order. If we mix the first, second and third solutions in the ratio 2 : 3 : 4 by volume, we obtain a solution containing 32% milk. If we mix them in the ratio 3 : 2 : 1, by volume, we obtain a solution containing 22% milk, What is the percentage of milk in A?(2014)a)6%b)12%c)18%d)24%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The percentage volumes of milk in three solutions A, B and C from a geometric progression in the order. If we mix the first, second and third solutions in the ratio 2 : 3 : 4 by volume, we obtain a solution containing 32% milk. If we mix them in the ratio 3 : 2 : 1, by volume, we obtain a solution containing 22% milk, What is the percentage of milk in A?(2014)a)6%b)12%c)18%d)24%Correct answer is option 'B'. Can you explain this answer?.
The percentage volumes of milk in three solutions A, B and C from a geometric progression in the order. If we mix the first, second and third solutions in the ratio 2 : 3 : 4 by volume, we obtain a solution containing 32% milk. If we mix them in the ratio 3 : 2 : 1, by volume, we obtain a solution containing 22% milk, What is the percentage of milk in A?(2014)a)6%b)12%c)18%d)24%Correct answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The percentage volumes of milk in three solutions A, B and C from a geometric progression in the order. If we mix the first, second and third solutions in the ratio 2 : 3 : 4 by volume, we obtain a solution containing 32% milk. If we mix them in the ratio 3 : 2 : 1, by volume, we obtain a solution containing 22% milk, What is the percentage of milk in A?(2014)a)6%b)12%c)18%d)24%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The percentage volumes of milk in three solutions A, B and C from a geometric progression in the order. If we mix the first, second and third solutions in the ratio 2 : 3 : 4 by volume, we obtain a solution containing 32% milk. If we mix them in the ratio 3 : 2 : 1, by volume, we obtain a solution containing 22% milk, What is the percentage of milk in A?(2014)a)6%b)12%c)18%d)24%Correct answer is option 'B'. Can you explain this answer?.
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