CAT Exam > CAT Questions > The percentage volumes of milk in three solut...
Start Learning for Free
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?
| FREE This question is part of | Download PDF Attempt this Test |
Verified 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%.
Most Upvoted Answer
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%.
Free Test
FREE
| Start Free Test |
Community 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%.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
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?
Question Description
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 2024 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 2024 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 2024 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 2024 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?.
Solutions 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? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup