CAT Exam  >  CAT Questions  >  There are 2 containers, each containing equal... Start Learning for Free
There are 2 containers, each containing equal quantities of solution containing milk and water. In the first container, the ratio of water and milk is 2 : 3 and in the second container, the ratio of water to milk is 1 : 4. Now, these two containers are emptied in a tub in the volume ratio 3 : 4. Which of the following is true?
  • a)
    The ratio of water and milk in the resulting mixture is 3 : 4
  • b)
    The ratio of water and milk in the resulting mixture is 3 : 5
  • c)
    The ratio of water and milk in the resulting mixture is 2 : 5
  • d)
    The ratio of water and milk in the resulting mixture is 2 : 3
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
There are 2 containers, each containing equal quantities of solution c...
Given information:
- There are 2 containers with equal quantities of solution containing milk and water.
- In the first container, the ratio of water to milk is 2:3.
- In the second container, the ratio of water to milk is 1:4.
- These two containers are emptied into a tub in the volume ratio of 3:4.

To find:
The ratio of water to milk in the resulting mixture.

Solution:
Let's assume that each container contains 5 units of solution, so the first container has 2 units of water and 3 units of milk, and the second container has 1 unit of water and 4 units of milk.

Step 1: Calculate the total quantities of water and milk in each container.
- First Container: 2 units of water + 3 units of milk = 5 units of solution
- Second Container: 1 unit of water + 4 units of milk = 5 units of solution

Step 2: Calculate the quantities of water and milk when the containers are emptied into the tub.
- Tub: (3/7) * (2 units of water + 1 unit of water) + (4/7) * (3 units of milk + 4 units of milk)
= (6/7) units of water + (17/7) units of milk

Step 3: Simplify the ratio of water to milk in the resulting mixture.
- The ratio of water to milk in the resulting mixture is (6/7) : (17/7).
- Multiply both sides of the ratio by 7 to get rid of the denominator:
6 : 17

Therefore, the correct answer is option C: The ratio of water to milk in the resulting mixture is 2:5.
Free Test
Community Answer
There are 2 containers, each containing equal quantities of solution c...
Let the volume of solution in each container be 60 V litres
So, in container 1 , water = 24V litres and milk = 36V litres
In container 2, water = 12V litres and milk = 48V litres
Now, when 3 parts of solution are taken from container 1, we get 18V litres of water and 27V litres of milk.
When 4 parts of solution from container 2 are taken, we get 12V litres of water and 48V litres of milk.
Thus, on mixing we get (18 + 12)V litres = 30V litres of water and (27 + 48)V litres of milk = 75V litres of milk.
So, on mixing the two, we get 30V litres of water and 75V litres of milk.
Therefore, the desired ratio = 30 : 75 = 2 : 5
Thus, answer option 2 is correct.
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

There are 2 containers, each containing equal quantities of solution containing milk and water. In the first container, the ratio of water and milk is 2 : 3 and in the second container, the ratio of water to milk is 1 : 4. Now, these two containers are emptied in a tub in the volume ratio 3 : 4. Which of the following is true?a)The ratio of water and milk in the resulting mixture is 3 : 4b)The ratio of water and milk in the resulting mixture is 3 : 5c)The ratio of water and milk in the resulting mixture is 2 : 5d)The ratio of water and milk in the resulting mixture is 2 : 3Correct answer is option 'C'. Can you explain this answer?
Question Description
There are 2 containers, each containing equal quantities of solution containing milk and water. In the first container, the ratio of water and milk is 2 : 3 and in the second container, the ratio of water to milk is 1 : 4. Now, these two containers are emptied in a tub in the volume ratio 3 : 4. Which of the following is true?a)The ratio of water and milk in the resulting mixture is 3 : 4b)The ratio of water and milk in the resulting mixture is 3 : 5c)The ratio of water and milk in the resulting mixture is 2 : 5d)The ratio of water and milk in the resulting mixture is 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 There are 2 containers, each containing equal quantities of solution containing milk and water. In the first container, the ratio of water and milk is 2 : 3 and in the second container, the ratio of water to milk is 1 : 4. Now, these two containers are emptied in a tub in the volume ratio 3 : 4. Which of the following is true?a)The ratio of water and milk in the resulting mixture is 3 : 4b)The ratio of water and milk in the resulting mixture is 3 : 5c)The ratio of water and milk in the resulting mixture is 2 : 5d)The ratio of water and milk in the resulting mixture is 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 There are 2 containers, each containing equal quantities of solution containing milk and water. In the first container, the ratio of water and milk is 2 : 3 and in the second container, the ratio of water to milk is 1 : 4. Now, these two containers are emptied in a tub in the volume ratio 3 : 4. Which of the following is true?a)The ratio of water and milk in the resulting mixture is 3 : 4b)The ratio of water and milk in the resulting mixture is 3 : 5c)The ratio of water and milk in the resulting mixture is 2 : 5d)The ratio of water and milk in the resulting mixture is 2 : 3Correct answer is option 'C'. Can you explain this answer?.
Solutions for There are 2 containers, each containing equal quantities of solution containing milk and water. In the first container, the ratio of water and milk is 2 : 3 and in the second container, the ratio of water to milk is 1 : 4. Now, these two containers are emptied in a tub in the volume ratio 3 : 4. Which of the following is true?a)The ratio of water and milk in the resulting mixture is 3 : 4b)The ratio of water and milk in the resulting mixture is 3 : 5c)The ratio of water and milk in the resulting mixture is 2 : 5d)The ratio of water and milk in the resulting mixture is 2 : 3Correct answer is option 'C'. 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 There are 2 containers, each containing equal quantities of solution containing milk and water. In the first container, the ratio of water and milk is 2 : 3 and in the second container, the ratio of water to milk is 1 : 4. Now, these two containers are emptied in a tub in the volume ratio 3 : 4. Which of the following is true?a)The ratio of water and milk in the resulting mixture is 3 : 4b)The ratio of water and milk in the resulting mixture is 3 : 5c)The ratio of water and milk in the resulting mixture is 2 : 5d)The ratio of water and milk in the resulting mixture is 2 : 3Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of There are 2 containers, each containing equal quantities of solution containing milk and water. In the first container, the ratio of water and milk is 2 : 3 and in the second container, the ratio of water to milk is 1 : 4. Now, these two containers are emptied in a tub in the volume ratio 3 : 4. Which of the following is true?a)The ratio of water and milk in the resulting mixture is 3 : 4b)The ratio of water and milk in the resulting mixture is 3 : 5c)The ratio of water and milk in the resulting mixture is 2 : 5d)The ratio of water and milk in the resulting mixture is 2 : 3Correct answer is option 'C'. Can you explain this answer?, a detailed solution for There are 2 containers, each containing equal quantities of solution containing milk and water. In the first container, the ratio of water and milk is 2 : 3 and in the second container, the ratio of water to milk is 1 : 4. Now, these two containers are emptied in a tub in the volume ratio 3 : 4. Which of the following is true?a)The ratio of water and milk in the resulting mixture is 3 : 4b)The ratio of water and milk in the resulting mixture is 3 : 5c)The ratio of water and milk in the resulting mixture is 2 : 5d)The ratio of water and milk in the resulting mixture is 2 : 3Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of There are 2 containers, each containing equal quantities of solution containing milk and water. In the first container, the ratio of water and milk is 2 : 3 and in the second container, the ratio of water to milk is 1 : 4. Now, these two containers are emptied in a tub in the volume ratio 3 : 4. Which of the following is true?a)The ratio of water and milk in the resulting mixture is 3 : 4b)The ratio of water and milk in the resulting mixture is 3 : 5c)The ratio of water and milk in the resulting mixture is 2 : 5d)The ratio of water and milk in the resulting mixture is 2 : 3Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice There are 2 containers, each containing equal quantities of solution containing milk and water. In the first container, the ratio of water and milk is 2 : 3 and in the second container, the ratio of water to milk is 1 : 4. Now, these two containers are emptied in a tub in the volume ratio 3 : 4. Which of the following is true?a)The ratio of water and milk in the resulting mixture is 3 : 4b)The ratio of water and milk in the resulting mixture is 3 : 5c)The ratio of water and milk in the resulting mixture is 2 : 5d)The ratio of water and milk in the resulting mixture is 2 : 3Correct answer is option 'C'. 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