# CAT Quantitative Aptitude Questions | CAT Ratios, Mixtures, Alligations and Averages Questions

###### CAT Questions | Mixtures and Alligation | Mixtures - Replacement

The question is from CAT Ratio, Mixtures and Averages. Milk is being diluted by adding water, we need to find out the ratio of milk to water in the diluted milk. CAT exam is known to test on basics rather than high funda ideas. A range of CAT questions can be asked from Ratios and Proportions, Mixtures, Alligations and Averages. Make sure you master the topics. 2IIMs CAT questions bank provides you with CAT questions that can help you gear for CAT Exam CAT 2020.

Question 26: 3L of milk are drawn from a container containing 30L of milk. It is replaced by water and the process is repeated 2 times. What is the ratio of milk to water at the end?

1. $$frac{2187}{100}\\$ 2. $\frac{81}{19}\\$ 3. $\frac{729}{271}\\$ 4. $\frac{743}{229}\\$ ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2021Online Batches Available Now! ### Explanatory Answer ##### Method of solving this CAT Question from Ratio, Mixtures and Averages: When we mix two mixtures in a particular ratio, we get a third mixture. Given the third mixture how does one find the ratio in which they were mixed. Formulae$derived using allegation):
Milk left = Capacity * (1 – fraction of milk withdrawn)n
Therefore, milk left = 30 * 0.93
=> 30 * $$frac{9}{10}\\$ * $\frac{9}{10}\\$ * $\frac{9}{10}\\$ => $\frac{2187}{100}\\$ So, Water in container = 30 – $\frac{2187}{100}\\$ => $\frac{$3000 - 2187$}{100}$ => $\frac{813}{100}\\$ Therefore, Milk : Water = 2187 : 813 = 729 : 271 The question is "What is the ratio of milk to water at the end?" ##### Hence, the answer is "$\frac{729}{271}\\$". Choice C is the correct answer. ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2021Enroll at 49,000/- 44,000/- Online Classroom Batches Starting Now! ###### Best CAT Coaching in ChennaiPrices slashed by Rs 4000/- Attend a Demo Class ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
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