CAT 2018 Question Paper | Quants Slot 1

CAT Previous Year Paper | CAT Set Theory Questions | Question 32

The best questions to practice for CAT Exam are the actual CAT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. If you would like to take the same inside a testing engine (for Free) head out here: CAT Official Question Mocks. In CAT 2018 we saw some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts. Original CAT Question paper is the best place to start off your CAT prep practice. This page provides exactly that. To check out about 1000 CAT Level questions with detailed video solutions for free, go here: CAT Question Bank

Question 32 :If among 200 students, 105 like pizza and 134 like burger, then the number of students who like only burger can possibly be

  1. 26
  2. 23
  3. 96
  4. 93

2IIM : Best Online CAT Coaching


2IIM's Online CAT Coaching
4000 off on CAT Online Course for CAT 2020.
Vaild till Dec 16th
CAT Online Coaching


Video Explanation


Best CAT Coaching in Chennai


CAT Coaching in Chennai - CAT 2020
Starts Sat, December 14th, 2019


Explanatory Answer

Method of solving this CAT Question from Set Theory

Given that out of 200 students, 105 like Pizza and 134 like Burger
In order to find the possible number of students who like only Burger, we need to find the range between the minimum and maximum possible number of students

Minimum possible number of Students who like only Burger:

Set Theory - Finding the number of students who like only burger

For this, we must try to optimize the Venn diagram in such a way that it has maximum intersection
No of Students who like only Burger = 134 – 105= 29

Maximum possible number of Students who like only Burger:

Set Theory - Finding the number of students who like only burger

For this, we must optimize the Venn diagram in such a way that it has minimum intersection
We know that total number of Students = 200
So, Minimum number of students who like both = 105 + 134 – 200 = 39 students
Students who like Burger = 134
Max. no of Students who like only Burger = 134 – 39 = 95
So range => 29 ≤ n ≤ 95
From the options, only (D) 93 lies within range

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

Hence, the answer is 93 students

Choice D is the correct answer.

 

CAT Questions | CAT Quantitative Aptitude

CAT Questions | CAT DILR

CAT Questions | Verbal Ability for CAT


Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093

How to reach 2IIM?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com