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CAT 2018 [SLOT 1] Quant Question with Solution 08

Question:
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
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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