Analytical Reasoning Question based on Set Theory and Venn Diagram

Question of The Day06-08-2020

120 people likes one or more of the three dishes, i.e. Gulkand, Rasmalai and Rasgulla. A total of 45 people like either Gulkand only or Rasmalai only. 11 people like all three dishes. A total of 22 people like any of the two dishes only. How many people like Rasgulla only?

Answer

Correct Answer : d ) 42

Explanation :

These types of questions can be solved easily with the use of venn diagram

So, depicting the number of people liking different dishes through venn diagram we get

Number of people who like Rasgulla only will be denoted by area shaded through purple region

Therefore, number of people liking Rasgulla only will be = Total people – People in all the shades other than purple shade

= 120 – (45 + 22 + 11) = 42 people

Hence, (d) is the correct answer.

Such type of question is asked in various government exams like RRB JE, RRB NTPC, RRB GROUP D, RRB OFFICER SCALE-I, IBPS PO, IBPS SO, RRB Office Assistant, IBPS Clerk, RBI Assistant, IBPS RRB OFFICER SCALE 2&3, UPSC CDS, UPSC NDA, UP SI etc.

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