# 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 2019.

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. $$frac{2187}{100}\\$ 2. $\frac{81}{19}\\$ 3. $\frac{729}{271}\\$ 4. $\frac{743}{229}\\$ ## 2IIM : Best Online CAT Coaching #### Signup and try 9 classesfor free ## Best CAT Coaching in Chennai #### Crash course - CAT 2019Intakes Closing Soon! Starts Sat, August 24th, 2019 ### Explanatory Answer ##### Method of solving this CAT Question from Ratio, Mixtures and Averages: When we mix two mixtures in a particular ratio, we get a third mixture. Given the third mixture how does one find the ratio in which they were mixed. Formulae$derived using allegation):
Milk left = Capacity * (1 – fraction of milk withdrawn)n
Therefore, milk left = 30 * 0.93
=> 30 * $$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 Online CAT CoachingSignup and try 9 classesfor free Signup Now! ###### Already have an Account? ###### CAT Coaching in ChennaiEnroll at 26,000/- Next Weekend Batch Starts Sat, August 17th, 2019 ###### Best CAT Coaching in ChennaiRegister Online, get Rs 4000/- off Intakes Closing Soon! ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 10-C, Kalinga Colony, Bobbili Raja Salai K.K.Nagar, Chennai. India. Pin - 600 078 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
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