Question

If among 200 students, 105 like pizza and 134 like burger, then the number of students who like only burger can possibly be

• A. 93
• B. 26
• C. 23
• D. 96

Answer 1

The Correct Option is A

The correct answer is (A):
Let the number of students who like both pizza and burger be ‘m’.
The number of students who like neither of them be n
From venn diagram 105 – m + m + 134 – m + n = 200 m – n = 39
∴ The possible values of (m, n) are (39, 0) (40, 1)…….(105, 66)
∴ The number of students who like only burger is lies in the range [134 – 105, 134 – 39] = [29, 95]
∴ From options, 93 is a possible answer