# ch.7 :- Logic Based Venn Diagrams :- Exercise 4

✦ Directions for Q. No. 1 to 5 : Read the following information carefully and then answer the questions that follow:
In the following questions answers are based on the diagram given below, where the triangle represents doctors, the circle represents players and the rectangle represents the artists.

1. Which numbered space in the diagram represents doctors, who are also players and artists?
(a) 2     (b) 3     (c) 4    (d) 5     (e) None of these

2. Which numbered space in diagram represents artists,who are players?
(a) 6     (b) 7    (c) 8    (d) 4    (e) Non of these

3. Which numbered space in the diagram represents artists,who are neither players nor doctors?
(a) 1    (b)  2    (c) 3    (d) 4    (e) Non of these

4. Which numbered space represents players, who are neither artists nor doctors?
(a) 1,2     (b) 3, 4     (c) 6, 7     (d) 7,8     (e) 1,5

5. Which numbered space represents doctors, who are players but not artists?
(a) 2    (b) 3    (c) 4    (d) 5    (e) 1

✦Directions for Q. No. 6 to 8 : Read the following information and then answer the questions that follow In the Fig. the rectangle stands for philosopher, circle for historians and triangle for magicians

6. According to the above diagram, which one of the following statement is true?
(a) All philosophers are magicians but no magician is a historians
(b) All magicians are either historians Or philosophers
(c) Some philosophers are historians and some magicians are philosophers
(d) Some historians, who are philosophers, are magicians too
(e) None of the above

7. According to the above diagram, which one of the following statement is true?
(a) All historians are magicians
(b) Some magicians are philosophers as well as historians
(c) All historians are either philosophers or magicians
(d) Some historians are philosophers
(e) None of the above

8. According to the above diagram, which one of the following statements is not true?
(a) Some magicians are philosophers
(b) No magician is historian
(c) Magicians, who are philosophers, are historians also
(d) Some philosophers are magicians
(e) None of the above

✦Direction for Q. No. 9 to 12 : In the following figure, the smaller triangle represents the teachers, the big triangle represents the politicians, the circle represents the graduates, and the square represents the Members of Parliament. Different regions are being represented by letters of English alphabets.

9.Who among the following are graduates or teachers but not politicians?
(a) B, G     (b) G, H     (c) A, E    (d) E, F     (e) None of these.

10. Who among the following politicians are graduates but not the members of parliament?
(a) B, C     (b) L, B     (c) D, L    (d) A, H, L     (e) B, G, C

11. Who among the following politicians are neither teachers nor graduates?
(a) E, F     (b) D, E     (c) C, D    (d) L, H     (e) D, H

12. Who among the following members of parliament is a graduate as well as a teacher?
(a) G     (b) F     (c) C    (d) H     (e) E.

✦Directions for Q. No. 13 to 17: Below is given a figure with four intersecting circles, each representing a group of persons having the quality written against it Study the figure carefully and answer the questions that follow:

13. People who are not laborious, enterprising and disciplined are represented by :
(a) Q     (b) T     (c) U     (d) V

14. The region which represents people who are not studious, but possess other three qualities, is denoted by:
(a) M     (b) N     (c) 0     (d)W

15. The region which represents the people who are enterprising, studious and disciplined but not laborious,is denoted by :
(a) Q      (b) P     (c) S     (d) T

16. People who are not studious and disciplined but are laborious and enterprising both, are represented by:
(a) M     (b) N     (c) P     (d) K

17. The people possessing all the qualities are represented by:
(a) 0     (b) N     (c) K     (d) Q

✦Directions for Q. No. 18 to 23 : In the following figure, the circle stands for insurance agents, the square stands for hard working, the triangle stands for rural people and the rectangle stands for graduates. Study the figure carefully and answer the questions that follow:

18. Non rural and hard-working insurance agents who are graduates are indicated by the region:
(a) 5     (b) 7     (c) 9     (d) 10

19. Insurance agents who are neither graduates nor hard working but rural, are represented by the region
(a) 8     (b) 10     (c) 11     (d) 12

20. Hard-working, non-graduates, rural insurance agent are represented by the region:
(a) 6     (b) 7     (c) 9     (d) 12

21. Non-graduates insurance agents who are not hard working and who do not belong to rural areas are represented by the region:
(a) 5     (b) 6     (c) 8     (d) 1

22. Insurance agents who are graduates, hard-working and rural are represented by the region:
(a) 6     (b) 8     (c) 9     (d) 10