Question
Quantitative Aptitude Question on Permutation and Combination
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
93
Explanation
Solution
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