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

###### CAT Questions | Averages | Averages - Numbers

The question is from CAT Ratio, Mixtures and Averages. When a number is replaced by another one, average changes. How all these terms are related to each other. 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 49: Average of ‘n’ number is t. One of the numbers ‘s’ is replaced by ‘z’ and the new average becomes u. What is the relation b/w n, t, s, u and z?

1. $$frac{$u-3$}{(z-s)}$ = $\frac{1}{n}\\$ 2. $\frac{$z-s$}{u}$ = $\frac{1}{n}\\$ 3. $\frac{$t-u$}{(s-z)}$ = $\frac{1}{n}\\$ 4. $\frac{$u-3$}{(z-s)}$ = $\frac{1}{n}\\$ ## 2IIM : Best Online CAT Coaching #### Signup and try 9 classesfor free ## Best CAT Coaching in Chennai #### Crash course - CAT 2019Intakes Closing Soon! Starts Sat, August 24th, 2019 ### Explanatory Answer ##### Method of solving this CAT Question from Ratio, Mixtures and Averages: How the individual data points affect the average? New Average, u = t + $\frac{$z-s$}{n}$$when z > s)………………..(1)
= t - $$frac{$s-z$}{n}$$when s < z)
= t + $$frac{$z-s$}{n}$$same as (1))
=> u – t = $$frac{$z-s$}{n}$ => $\frac{$u – t$}{(z-s)}$ = $\frac{1}{n}\\$ => $\frac{$t - u$}{(s-z)}$ = $\frac{1}{n}\\$ The question is "What is the relation b/w n, t, s, u and z?" ##### Hence, the answer is "$\frac{$t-u$}{(s-z)}$ = $\frac{1}{n}\\$". 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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