11. There are 30 people and 3 clubs M, S, and Z in a company. 10 people joined M, 12 people joined S and 5 people joined Z. If the members of M did not join any other club, at most, how many people of the company did not join any club?
11. There are 30 people and 3 clubs M, S, and Z in a company. 10 people joined M, 12 people joined S and 5 people joined Z. If the members of M did not join any other club, at most, how many people of the company did not join any club?
The correct option is D (d) 8
Ans: (d) Sol:
Total no. of people = 30
No. joining M = 10
No. joining S = 12
No. joining Z = 5
Question asked - AT MOST how many people did not join any group?
Solution: Now since none of the members of M joined any other group, the no. of people left = 30-10(for M)=20
Since the question says ‘at most’ how many did not join any group, let’s assume that all people who join Z also join S. So no. of people joining group S and Z are 12 (note that there will be 5 people in group S who have also joined Z) therefore no. of people not joining any group = 20-12=8. Hence (d).
Ans: (d)
Sol:
Total no. of people = 30
No. joining M = 10
No. joining S = 12
No. joining Z = 5
Question asked - AT MOST how many people did not join any group?
Solution: Now since none of the members of M joined any other group, the no. of people left = 30-10(for M)=20
Since the question says ‘at most’ how many did not join any group, let’s assume that all people who join Z also join S. So no. of people joining group S and Z are 12 (note that there will be 5 people in group S who have also joined Z) therefore no. of people not joining any group = 20-12=8. Hence (d).
