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?
Given e = 8
Number of students shortlisted for A and B is 14
e + b = 14
b = 6
Number of students shortlisted for A and C is 12
e + d = 12
d = 4
Number of students shortlisted for B and C is 15
e + f = 15
f = 7
Given
Number of students shortlisted for B is 26
b + f + e + c = 26
6 + 7 + 8 + c = 26
c = 5
Number of students shortlisted for C is 29
d + e + f + g = 29
g = 10
Number of students shortlisted for A is 21
b + e + d + a = 21
a = 3
Number of students shortlisted for only B = c = 5
Number of students shortlisted for only C = g = 10
Ratio = 5:10 = 1:2
Answer is option B
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