CAT Exam  >  CAT Questions  >  A container contains 20 litres of a mixture o... Start Learning for Free
A container contains 20 litres of a mixture of methyl, ethyl and propyl alcohol. If 10 litres of a mixture containing methyl and ethyl alcohol in the ratio 2 : 3 is added to the container, the ratio of methyl, ethyl and propyl alcohol become 2 : 3 : 5. If 10 litres of a mixture containing ethyl alcohol and propyl alcohol in the ratio 1 : 3 is added to 20 litres of original solution, what will be the ratio of methyl, ethyl and propyl alcohol in the new solution?
  • a)
    1 : 2 : 9
  • b)
    4 : 11 : 45
  • c)
    3 : 1 2 : 4 5
  • d)
    2 : 3 : 1 0
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A container contains 20 litres of a mixture of methyl, ethyl and propy...
Volume of methyl and ethyl alcohol added to the container are 4 litres and 6 litres respectively.
Volume of methyl alcohol, ethyl alcohol and propyl alcohol in the container are 6 litres, 9 litres and 15 litres respectively.
Volume of methyl alcohol, ethyl alcohol and propyl alcohol in the original solution are 2 litres, 3 litres and 15 litres respectively.
10 litres of a mixture containing ethyl alcohol and propyl alcohol in the ratio 1 : 3 is added to the original solution.
Volume of ethyl alcohol and methyl alcohol added are 2.5 litres and 7.5 litres respectively.
Required Ratio = 2 : ( 3 + 2.5) : (15 + 7.5) = 4 : 11 : 45
Hence, option 2.
View all questions of this test
Most Upvoted Answer
A container contains 20 litres of a mixture of methyl, ethyl and propy...
To solve this problem, let's break it down into smaller steps.

Step 1: Initial mixture
The initial mixture contains 20 liters of a mixture of methyl, ethyl, and propyl alcohol. Let's assume the ratio of these alcohols is m:e:p.

Step 2: Adding mixture with methyl and ethyl alcohol
When 10 liters of a mixture containing methyl and ethyl alcohol in the ratio 2:3 is added, the ratio of the alcohols becomes 2:3:5. This gives us the equation:

(m + 2):(e + 3):p = 2:3:5

Step 3: Simplifying the equation
To simplify the equation, let's assume the common ratio as 'k'. This gives us the equation:

(m + 2k):(e + 3k):p = 2k:3k:5k

Step 4: Solving the equation
From the given information, we know that the initial mixture contains 20 liters of alcohol. So, we can write the equation:

m + e + p = 20

Substituting the values from the equation in Step 3, we get:

(m + 2k) + (e + 3k) + p = 20

Simplifying further, we get:

m + e + p + 5k = 20

Since m + e + p = 20, we can rewrite the equation as:

20 + 5k = 20
5k = 0
k = 0

This means that the common ratio, k, is zero. However, this is not possible as k represents the amount of alcohol added to the mixture. Therefore, the given information is inconsistent.

Step 5: Adding mixture with ethyl and propyl alcohol
Since the given information is inconsistent, we cannot determine the ratio of methyl, ethyl, and propyl alcohol in the new solution.
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 CAT

A container contains 20 litres of a mixture of methyl, ethyl and propyl alcohol. If 10 litres of a mixture containing methyl and ethyl alcohol in the ratio 2 : 3 is added to the container, the ratio of methyl, ethyl and propyl alcohol become 2 : 3 : 5. If 10 litres of a mixture containing ethyl alcohol and propyl alcohol in the ratio 1 : 3 is added to 20 litres of original solution, what will be the ratio of methyl, ethyl and propyl alcohol in the new solution?a)1 : 2 : 9b)4 : 11 : 45c)3 : 1 2 : 4 5d)2 : 3 : 1 0Correct answer is option 'B'. Can you explain this answer?
Question Description
A container contains 20 litres of a mixture of methyl, ethyl and propyl alcohol. If 10 litres of a mixture containing methyl and ethyl alcohol in the ratio 2 : 3 is added to the container, the ratio of methyl, ethyl and propyl alcohol become 2 : 3 : 5. If 10 litres of a mixture containing ethyl alcohol and propyl alcohol in the ratio 1 : 3 is added to 20 litres of original solution, what will be the ratio of methyl, ethyl and propyl alcohol in the new solution?a)1 : 2 : 9b)4 : 11 : 45c)3 : 1 2 : 4 5d)2 : 3 : 1 0Correct 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 A container contains 20 litres of a mixture of methyl, ethyl and propyl alcohol. If 10 litres of a mixture containing methyl and ethyl alcohol in the ratio 2 : 3 is added to the container, the ratio of methyl, ethyl and propyl alcohol become 2 : 3 : 5. If 10 litres of a mixture containing ethyl alcohol and propyl alcohol in the ratio 1 : 3 is added to 20 litres of original solution, what will be the ratio of methyl, ethyl and propyl alcohol in the new solution?a)1 : 2 : 9b)4 : 11 : 45c)3 : 1 2 : 4 5d)2 : 3 : 1 0Correct 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 A container contains 20 litres of a mixture of methyl, ethyl and propyl alcohol. If 10 litres of a mixture containing methyl and ethyl alcohol in the ratio 2 : 3 is added to the container, the ratio of methyl, ethyl and propyl alcohol become 2 : 3 : 5. If 10 litres of a mixture containing ethyl alcohol and propyl alcohol in the ratio 1 : 3 is added to 20 litres of original solution, what will be the ratio of methyl, ethyl and propyl alcohol in the new solution?a)1 : 2 : 9b)4 : 11 : 45c)3 : 1 2 : 4 5d)2 : 3 : 1 0Correct answer is option 'B'. Can you explain this answer?.
Solutions for A container contains 20 litres of a mixture of methyl, ethyl and propyl alcohol. If 10 litres of a mixture containing methyl and ethyl alcohol in the ratio 2 : 3 is added to the container, the ratio of methyl, ethyl and propyl alcohol become 2 : 3 : 5. If 10 litres of a mixture containing ethyl alcohol and propyl alcohol in the ratio 1 : 3 is added to 20 litres of original solution, what will be the ratio of methyl, ethyl and propyl alcohol in the new solution?a)1 : 2 : 9b)4 : 11 : 45c)3 : 1 2 : 4 5d)2 : 3 : 1 0Correct 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 A container contains 20 litres of a mixture of methyl, ethyl and propyl alcohol. If 10 litres of a mixture containing methyl and ethyl alcohol in the ratio 2 : 3 is added to the container, the ratio of methyl, ethyl and propyl alcohol become 2 : 3 : 5. If 10 litres of a mixture containing ethyl alcohol and propyl alcohol in the ratio 1 : 3 is added to 20 litres of original solution, what will be the ratio of methyl, ethyl and propyl alcohol in the new solution?a)1 : 2 : 9b)4 : 11 : 45c)3 : 1 2 : 4 5d)2 : 3 : 1 0Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A container contains 20 litres of a mixture of methyl, ethyl and propyl alcohol. If 10 litres of a mixture containing methyl and ethyl alcohol in the ratio 2 : 3 is added to the container, the ratio of methyl, ethyl and propyl alcohol become 2 : 3 : 5. If 10 litres of a mixture containing ethyl alcohol and propyl alcohol in the ratio 1 : 3 is added to 20 litres of original solution, what will be the ratio of methyl, ethyl and propyl alcohol in the new solution?a)1 : 2 : 9b)4 : 11 : 45c)3 : 1 2 : 4 5d)2 : 3 : 1 0Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A container contains 20 litres of a mixture of methyl, ethyl and propyl alcohol. If 10 litres of a mixture containing methyl and ethyl alcohol in the ratio 2 : 3 is added to the container, the ratio of methyl, ethyl and propyl alcohol become 2 : 3 : 5. If 10 litres of a mixture containing ethyl alcohol and propyl alcohol in the ratio 1 : 3 is added to 20 litres of original solution, what will be the ratio of methyl, ethyl and propyl alcohol in the new solution?a)1 : 2 : 9b)4 : 11 : 45c)3 : 1 2 : 4 5d)2 : 3 : 1 0Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A container contains 20 litres of a mixture of methyl, ethyl and propyl alcohol. If 10 litres of a mixture containing methyl and ethyl alcohol in the ratio 2 : 3 is added to the container, the ratio of methyl, ethyl and propyl alcohol become 2 : 3 : 5. If 10 litres of a mixture containing ethyl alcohol and propyl alcohol in the ratio 1 : 3 is added to 20 litres of original solution, what will be the ratio of methyl, ethyl and propyl alcohol in the new solution?a)1 : 2 : 9b)4 : 11 : 45c)3 : 1 2 : 4 5d)2 : 3 : 1 0Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A container contains 20 litres of a mixture of methyl, ethyl and propyl alcohol. If 10 litres of a mixture containing methyl and ethyl alcohol in the ratio 2 : 3 is added to the container, the ratio of methyl, ethyl and propyl alcohol become 2 : 3 : 5. If 10 litres of a mixture containing ethyl alcohol and propyl alcohol in the ratio 1 : 3 is added to 20 litres of original solution, what will be the ratio of methyl, ethyl and propyl alcohol in the new solution?a)1 : 2 : 9b)4 : 11 : 45c)3 : 1 2 : 4 5d)2 : 3 : 1 0Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev