Quant Sets

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

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.