Quant Boosters  Hemant Malhotra  Set 2

hemant_malhotra last edited by
Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Total number of matches = 7C2 * 2 = 42
If there were no matches that resulted in a draw then total points = 42 * 3 = 126
For every match resulting in a draw the total points get reduced by 1.
Because in a WinLoss situation Winner + Loser = 3 + 0 = 3 points but in a draw it is 1 + 1 = 2 points.
Let the total points of A,C,E be y and that of B and G be x
3y + 2x + 36 = Total points [ also y < x ]
Total points can be 126 or 125 or 124 and so on
But our objective is to maximize y we have to take value of total as high as possible.
3y + 2x = 126 then max = 16
but if we take 3y + 2x = 125 then max(y) = 17 so OA=17

@hemant_malhotra Kindly explain the solution, I couldn't really comprehend it.

@Aayushiv This is a way of solving sets without venn diagrams.
Please go through the below notes which explains the method in great detail. Once you are done, revisit the problem and if the doubt persist, let us know. Will help you (I guarantee, it will be clear once you are done with the 2 notes given below!) :)https://www.mbatious.com/topic/376/settheorymaximaminimaconceptshemantmalhotra
https://www.mbatious.com/topic/379/settheorymaximaminimaconceptsgauravsharma

@hemant_malhotra shouldn't A point at the top so the distance become 2+3+2 = 7
as in room A at top face not at bottom face