# CAT Quantitative Aptitude Questions | CAT Set theory Questions - Union and Intersection

###### CAT Questions | Set theory | Union and Intersection
CAT Questions

The question is from CAT Set theory. It is about union of sets. We need to determine a particular value from two sets. CAT exam is known to test on basics rather than high funda ideas. CAT also tests multiple ideas in the same question, and 2IIMs CAT question bank provides you with CAT questions that can help you gear for CAT Exam CAT 2020. Set Theory (especially constructing venn diagrams) is a frequently tested topic. Make sure you know the basics from this chapter.

Question 23: In a survey it was found that, the number of people that like only Pepsi, only Coke, both Coke and Pepsi and neither of them are 2n, 3n, $$frac{69}{n}\\$, $\frac{69}{3n}\\$ respectively. What is the no of people who drink coke? 1. 72 2. 49 3. Both a and b 4. cannot be determined ## 🐤 Early Bird Offer! 4,000 off on CAT '22 Online courses Valid until 25th July #### 2IIM : Best Online CAT Coaching. ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2021Online Batches Available Now! ### Explanatory Answer ##### Method of solving this CAT Question from Set theory: A small finding and an additon will take you through! Since the no. of people cannot be in fraction in any situation. We can deduce that the values of n and 3n need to be factors of 69. Thus the value of n can only be either 1 or 23. So the no of people who drink coke is equal to 3n + $\frac{69}{n}\\$ = 72 for both 1 and 23. The question is "In a survey it was found that, the number of people that like only Pepsi, only Coke, both Coke and Pepsi and neither of them are 2n, 3n, $\frac{69}{n}\\$, $\frac{69}{3n}\\$ respectively." ##### Hence, the answer is "72". Choice A is the correct answer. ###### 🐤 Early Bird Offer! 4,000 off on CAT '22 Online courses. Valid until 25th July ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2021Enroll at 49,000/- 44,000/- Online Classroom Batches Starting Now! ###### Best CAT Coaching in Chennai Introductory offer of 5000/- Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ## CAT Online Coaching | CAT Arithmetic Videos On YouTube #### Other useful sources for Arithmetic Questions | Set Theory Sample Questions ##### 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
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