CAT 2018 – The CAT QA section has grown increasingly difficult since 2015. In order to tackle the tougher CAT Level QA questions for the CAT Exam, it is important to understand the basics of CAT. To obtain a great CAT score, make use of MBAP Free Study material with detailed solutions and video explanations. Check out MBAP free Mock test to take these questions in a test format for free.
Q. 3: 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
Correct Answer: 1. 93
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
Inspiring Education… Assuring Success!!
Ⓒ 2020 – All Rights Are Reserved