# 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 2019. 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 ## Try 2IIM Online CAT Coaching #### Best CAT Online Coaching ## Best CAT Coaching in Chennai #### Batches filling fast. Starts Sat, April 27th, 2019 ### 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. ###### Best Online CAT CoachingLearn from 4 time CAT 100 percentiler Register in 2 easy steps and start learning in 30 seconds! ###### Already have an Account? ###### CAT Coaching in Chennai Next Weekend Batch Starts Sat, April 27th, 2019 ###### Best CAT Coaching in ChennaiBatches filling fast Personalised attention, Small batch sizes. ## 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, 10-C, Kalinga Colony, Bobbili Raja Salai K.K.Nagar, Chennai. India. Pin - 600 078 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
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