CAT 2018 Slot 1 QA Question 18: If among 200 students, 105 like pizza and 134 like burger, then the number of students who like only burger can possibly be

Question

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

Accepted Answer

Let x students like both pizza and burger.
The minimum possible value of x is
$105 + 134 - 200 = 39$
The maximum possible value of x is
$\min (105,134) = 105$
Only burger $=134 - x$. Hence it can range from
$134 - 105 = 29$ to $134 - 39 = 95$
Among the options, only 93 lies in this range.