CAT Practice : Averages, Ratios, Mixtures

Averages

Averages

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. $\frac{59}{6}$
4. 8

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 = $\frac{48}{6} = 8$

Our Online Course, Now on Google Playstore!

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!

More questions from Averages, Ratios, Mixtures

Averaages, Ratios and Mixtures XXXXXXXXXXXXXXXXXXXXXXXXXe.