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

- 93
- 26
- 23
- 96

### Answer

Let the number of students who like both pizza and burger be x.

Let the number of students who like neither of them be y.

From venn diagram,

(105 - x) + x + (134 - x) + y = 200

x - y = 39

Therefore, the possible values of (x, y) are (39, 0), (40, 1), ... , (105, 66)

The number of students who like only burger lies in the range [134 – 105, 134 – 39] = [29, 95]

From the options, 93 is possible answer.

**The correct option is A.**