Venn Diagram (SSC REASONING)

Total Questions: 15

11. In the following Venn diagram, the hexagon stands for ‘police officers’, the pentagon stands for ‘graduates’ , the circle stands for ‘females’ , and the square stands for ‘Indians’. The given numbers represent the number of persons in that particular category. [SSC CGL 11/04/2022 (Afternoon)]

How many Indian police officers are graduates but NOT females?

Correct Answer: (a) 11
Solution:

Clearly, the common intersection point of pentagon, hexagon and square (excluding circle) is 11. So, the number of Indian police officers who are graduates but NOT females = 11

12. Read the statements disregarding known facts and then from the following four options, identify the Venn diagram that correctly represents the statements. [SSC CGL 20/08/2021 (Afternoon)]

Statements :
Some stools (S) are numbers (T)
Some numbers(T) are grinders (G)

Correct Answer: (c)
Solution:

shows the correct representation of the given statement.

13. In the given Venn diagram, 'A' denotes 'dogs', 'B' denotes 'cats', 'C' denotes 'fishes', 'D' denotes 'mongooses', 'E' denotes 'rats', and 'F' denotes 'rabbits'. Which area represents the group of only dogs, fishes and mongooses ? [SSC CHSL 16/10/2020 (Morning)]

Correct Answer: (b) D
Solution:‘D’ represents the group of only dogs, fishes and mongooses.

14. Among 160 players in a tournament, 57 did not participate in any of the three games, i.e. Cricket , Hockey and Badminton. A total of 37 players participated in only one game, 10 players participated in both Cricket and Hockey but not in badminton , 9 players participated in both Hockey and Badminton but not in Cricket , and 13 players participated in both Cricket and Badminton but not in Hockey. How many students participated in all the three games? [SSC CGL 06/03/2020 (Evening)]

Correct Answer: (b) 34
Solution:

Total number of players in the tournament = 160 Players that actually take part in the tournament = 160 - 57 = 103 Total players who participated in only one game = 37 Players that only played Cricket and Hockey = 10 Players that only played Cricket and Badminton = 13 Players that only played Badminton and Hockey = 9
Thus, students participated in all the three games = 103 - ( 37 + 13 + 10 + 9) = 34

15. There are 70 students in a class, of them 50 students like cricket, 35 like both cricket and football, and some like only football. Select the venn diagram that correctly represents the given information. [SSC CPO 13/12/2019 (Evening)]

Correct Answer: (d)
Solution:

Total students = 70
Cricket = 50
Cricket and football = 35
Only cricket = 50 - 35 = 15
Only football = 70 - 50 = 20