There are 3 clubs A, B & C in a town with 40, 50 & 60 members respectively. While 10 people are members of all 3 clubs, 70 are members in only one club. How many belong to exactly two clubs?
Explanation:
Given, x + y + z = 70
x + a + b = 40 – 10 = 30 ... (i)
y + b + c = 50 – 10 = 40 ... (ii)
z + a + c = 60 – 10 = 50 ... (iii)
From (i), (ii) and (iii), we get
(x + y + z) + 2(a + b + c) = 120
⇒ a + b + c = 25.
Hence, option (b).
» Your doubt will be displayed only after approval.
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.