Each correctional facility in a certain state has the same number of

­Could you share the source of this question ruis

KarishmaB - Request your help in this question. Can you share if there is a more intutive approach to solving such questions ?

 

This question is based on the iconic piglet feed official question discussed here: 
https://gmatclub.com/forum/each-piglet- ... 82321.html

You need a sound understanding of weighted averages to solve this intuitively within a minute  - no calculations required.

"Each correctional facility in a certain state has the same number of interns"
Number of facilities will obviously be an integer so 2 or 3 or 4 or 5 or 6 etc. Since each has same number of interns, it means each has 1/2 (50%) or 1/3rd (33.33%) or 1/4th (25%) or 1/5th (20%) or 1/6th (16.66%) of the total interns respectively. 

L has 22% of the female interns.

(1) Lockwood has between 18% and 22% of the state's male interns.

If L has 18 to 22% of the male interns and 22% of the female interns, it will have total interns lying between 18% and 22%. Only one value lies between 18% and 22% and that is 20%.
So there must be 5 facilities and each facility must have 20% of total interns.
If L has 22% female interns and 20% total interns, then it must have less than 20% male interns (only then can the average be 20%).
Sufficient alone. 

(2) Lockwood has more female interns than does any other facility in the state.­

Each facility has female and male interns. If L has max female interns, everyone else will have less than 22% female interns. 
Since total interns is the same in each facility, L will have less than 22% male interns. This means that L will have either 20% of the total interns or 16.66% of total interns etc. Then, number of male interns must certainly be less than 20% to bring the average to 20% or to 16.66% etc. 
Sufficient alone. 

Answer (D)

Check out this video on weighted averages:
https://www.youtube.com/watch?v=_GOAU7moZ2Q

Or you can freely check out the complete weighted average video and module tomorrow through Super Sunday on my platform. Details in my signature and here:
https://youtu.be/gN_vlDpUflo



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