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

###### CAT Questions | Averages | Averages - Integers

The question is from CAT Ratio, Mixtures and Averages. Given the product of n digits, our task is to minimize the average of those numbers which is related to the sum of those numbers. 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 47: If the product of n distinct positive integers is nn. What is the minimum value of their average if n = 6?

1. 6
2. 10
3. $$frac{59}{6}\\$ 4. 8 ## Try 2IIM Online CAT Coaching #### Signup to sample the Best CAT Online Coaching ## Best CAT Coaching in Chennai #### Starts Sat, Mar 30, 2019 ### Explanatory Answer ##### Method of solving this CAT Question from Ratio, Mixtures and Averages: How you would relate the product with its average? Product = 66 =$2 * 3)6
=26 * 36
To find the minimum average, we have to find the smallest possible 6 positive numbers resulting in
26.36 = 2 * 22 * 23 * 3 * 32 * 33
Therefore, 2,4,8,3,12,18 are the numbers since any other combination will result in either a larger number or a number being repeated.
Therefore, Minimum Average = $$frac{48}{6}\\$ = 8 The question is "What is the minimum value of their average if n = 6?" ##### Hence, the answer is "8". Choice D is the correct answer. ###### Online CAT CoachingTry it free! Register in 2 easy steps and start learning in 30 seconds! ###### Already have an Account? ###### CAT Coaching in Chennai Next Weekend Batch Starts Sat, Mar 30th, 2019 ###### Best CAT Coaching in Chennai Sign up for a Free Demo of our CAT Coaching in Chennai ##### 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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