Question

During the placement season of a class, 21 students got shortlisted for company A, 26 got shortlisted for Company B and 29 got shortlisted for company C and 14 students got shortlisted for both A and B,12 students got shortlisted for A and C and 15 for both B and C. All the companies shortlisted 8 students from the class. Then what is the ratio of number of students who got shortlisted for only B and number of students who got shortlisted for only C?

• A. 1:1
• B. 1:2
• C. 2:3
• D. 3:2

Answer 1

The Correct Option is B

Step 1: Only B \(=B-(A\cap B)-(B\cap C)+(A\cap B\cap C)=26-14-15+8=5\).
Step 2: Only C \(=C-(A\cap C)-(B\cap C)+(A\cap B\cap C)=29-12-15+8=10\).
Step 3: Ratio \(=5:10=1:2\).
\[ \boxed{1:2} \]