imRaj wrote:
Hi @chetan2u, can u provide the solution to this Q. I couldnot solve it.
A management education program offers courses in 5 main discipline- Marketing, Finance,Operations,Strategy , and Organisational Behaviours.
90 % of students opted for atleast one elective in Marketing.
95 % of students opted for atleast one elective in Finance.
80 % of students opted for atleast one elective in Operations.
70 % of students opted for atleast one elective in Strategy.
85 % of students opted for atleast one elective in organisational behaviour.
X represents the maximum possible percentage of students who may have opted for atleast one elective in each five discipline
Y represents the minimum possible percentage of students who may have opted for atleast one elective in each five discipline
I have never seen an official question like this with 5 sets, but the logic is using Overlapping Sets concepts:
The Max will be where everything overlaps. The same 70% who do at least 1 strategy also do at least 1 of everything else.
So, our
X is 70.The trickier part is how to get the minimum. To do this, we'll think about having no overlap between the people that don't do at least 1 elective within each category.
Suppose there's 100 people:
10 do 0 Marketing electives.
5 do 0 Finance electives.
20 do 0 Operations electives.
30 do 0 Strategy electives.
15 do 0 organisational behaviour electives.
Then, if there's no overlap between them, we can add them up: 10+5+20+30+15 = 80 people out of 100 total who do NOT do at least one elective in each of the five disciplines.
Finally, 100 - 80 =
20 for Y.