# If among 200 students | Quantitative Aptitude - Modern Maths – Set Theory

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## CAT 2018 - Slot-1 - Set Theory - Question- 3 - If among 200 students

Q. 3: If among 200 students, 105 like pizza and 134 like burger, then the number of students who like only burger can possibly be
1. 93
2. 26
3. 23
4. 96

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

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