In a college, there are three student clubs. Students are only in the Drama club are 40; students only in the Dance club are 30; students only in the Maths club are 12; students in both Drama and Dance clubs are 12; students in both Dance and Maths clubs are 7; students in both Drama and Maths clubs are 2; and students in all clubs are 2. If 75% of the students in the college are members of at least one of these clubs, then the total number of students in the college is:
A. 1000
B. 975
C. 900
D. 1,500
GATE 2019 · General Aptitude · Venn Diagram · medium
Answer: Total number of students in the college = 900. Answer: C.
Sum all seven regions to get club membership total: Club members = 40 + 30 + 12 + 12 + 7 + 2 + 2 = 105
Use the 75% condition to find total students: If club members = 675: Total = 675 / 0.75 = 900