# 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. $$frac{$u-3$}{(z-s)}$ = $\frac{1}{n}\\$ 2. $\frac{$z-s$}{u}$ = $\frac{1}{n}\\$ 3. $\frac{$t-u$}{(s-z)}$ = $\frac{1}{n}\\$ 4. $\frac{$u-3$}{(z-s)}$ = $\frac{1}{n}\\$ ## 2IIM : Best Online CAT Coaching #### Signup and sample 5 classes for free ## Best CAT Coaching in Chennai #### Batches filling fast. Starts Sat, June 8th, 2019 ### Explanatory Answer ##### Method of solving this CAT Question from Ratio, Mixtures and Averages: How the individual data points affect the average? New Average, u = t + $\frac{$z-s$}{n}$$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 sample5 classes for free Signup Now! ###### Already have an Account? ###### CAT Coaching in ChennaiEnroll at 29000/- Next Weekend Batch Starts Sat, June 29th, 2019 ###### Best CAT Coaching in ChennaiEarly Bird discount of 7000 Personalised attention, Small batch sizes. ##### 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
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com