CAT Practice : Averages, Ratios, Mixtures



    Q.47: If the product of n distinct positive integers is n^n. What is the minimum value of their average if n=6?
    1. 6
    2. 10
    3. 8


  • Correct Answer
    Choice D. 8

Detailed Solution

Product = 66
=(2 * 3)6
=26 * 36
To find the minimum average, we have to find the smallest possible 6 positive numbers resulting in 2^6.3^6 =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 =

Correct Answer: 8

Our Online Course, Now on Google Playstore!

2IIM's App

Fully Functional Course on Mobile

All features of the online course, including the classes, discussion board, quizes and more, on a mobile platform.

Cache Content for Offline Viewing

Download videos onto your mobile so you can learn on the fly, even when the network gets choppy!

Get it on Google Play