CAT 2018 Quant Questions

Question:
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
Show Answer
Correct Answer: 1

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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CAT 2018 Quant Questions
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