CAT Practice : Averages, Ratios, Mixtures

We need to find out the share of the other students first! Their share plus 1/6th is total share, from which we can find the total number of students...

Number of students

    Q.21: A certain number of badges were distributed among a class of students. The student who got 1/6th of the total number of badges actually got 5 times the average number of badges the others got! How many students were there in the class?
    1. 30
    2. 26
    3. 11
    4. 31

 

  • Correct Answer
    Choice B. 26

Detailed Solution

Let the total students be (n + 1)
Let total badges be x
Let the average of ‘n’ students be y

The student who got 1/6th of x = 5y
Or y = x/30

Therefore ‘n’ students got 1/30th of total share each
Or n * x/30 + 1 * x/6 = x
nx + 5x = 30x
n + 5 = 30
Or n = 25
Total = n + 1 = 26


Correct Answer: 26 students



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
Visit Piverb.com
Visit Wizako.com