Question

In an examination, 70% of the students passed in the Paper I, and 60% of the students passed in the Paper II. 15% of the students failed in both the papers while 270 students passed in both the papers. What is the total number of students?  

(a) 600 (b) 580 (c) 560 (d) 540

Answer 1

(a) % of students failed in paper I = 100 – 70 = 30%

% of students failed in paper II = 100 – 60 = 40%

total % of students who failed = 30 + 40 – 15 = 55%

total % of students who passed in both papers 100 – 55 = 45%

Let, total number of students be x.