453 + Mcqs in Venn Diagram in Discrete Mathematics Page 2 McqOptions

51.	In the following Venn diagram, the rectangle represents the number of RPS supporters, the triangle represents the number of MI supporters and the circle represents the number of KKR supporters. How many of them support MI and KKR but not RPS?
A.	4
B.	2
C.	12
D.	1
Answer» C. 12

Discussion

52.	In the following figure, rectangle represents Hairstylists, circle represents Food stylists, triangle represents Playwrights and square represents Indians. Which set of letters represents Indians who are not Hairstylists?
A.	ED
B.	HC
C.	GD
D.	GFI
Answer» C. GD

Discussion

53.	A sports club has 57 members as represented by the given figure. The circle represents members who play badminton, the pentagon represnents members who play tennis and the triangle represents members who play cricket. How many members of the club do NOT play badminton?
A.	46
B.	30
C.	33
D.	24
Answer» C. 33

Discussion

54.	How many passed only one of the three sections?A. 21B. 42C. 63D. 52
A.	A
B.	C
C.	D
D.	B
Answer» C. D

Discussion

55.	In the following figure, rectangle represents Dentists, circle represents Bloggers, triangle represents Comedians and square represents Boxers. Which set of letters represents Dentists who are only either Bloggers or Comedians?
A.	LKCB
B.	LC
C.	FEC
D.	K
Answer» C. FEC

Discussion

56.	In the following figure, rectangle represents Fashion designers, circle represents Equestrians, triangle represents Campers and square represents Golfers. Which set of letters represents Equestrians who are not Fashion designers?
A.	EG
B.	DEG
C.	I
D.	E
Answer» D. E

Discussion

57.	In the given figure, how many yellow birds are there?
A.	25
B.	32
C.	18
D.	20
Answer» C. 18

Discussion

58.	Among 170 students of a class, 155 students participate in one or more of the three classes: Guitar, Drum and Violin. Total 21 students participate on any and only two of three classes. 54 students participate in Drum class only, whereas 43 students participate in Violin class only 5 students participate in all the three classes. How many students participate in Guitar class only?
A.	47
B.	30
C.	32
D.	42
Answer» D. 42

Discussion

59.	In the following figure, square represents cardiologists, triangle represents Architects, circle represents Indians and rectangle represents Father. Which set of letters represents Indian who are not Fathers?
A.	E, H
B.	E, B
C.	D, H
D.	A, G
Answer» B. E, B

Discussion

60.	Based on the given Venn diagram, answer the following question.A- People who are efficientB- People who are honestC- People who are hard-workingWhich segment represents people who are only hardworking but not honest or efficient?
A.	c – (v + s + t)
B.	c – (v + s)
C.	c
D.	c – (v + t)
Answer» B. c – (v + s)

Discussion

61.	In the given figure, how many big bottles are not blue?
A.	37
B.	115
C.	152
D.	89
Answer» B. 115

Discussion

62.	In the following figure, square represents Priests, triangle represents singers, Circle represents Therapists and rectangle represents Indians. Which set of letters represents Indians who are not priests?
A.	E, F
B.	I, G
C.	E, A, F
D.	G, E, A
Answer» D. G, E, A

Discussion

63.	In the given figure, how many colour televisions are not wide?
A.	72
B.	18
C.	43
D.	61
Answer» C. 43

Discussion

64.	In the Venn diagram given below, the 'Rectangle' represent 'Lady Teachers'; the 'Triangle' represents 'Chemistry Teachers', and the 'Circle' represents 'Physics Teachers'. The numbers given in the diagram represents number of persons of that particular category.What is the count of lady teachers who do NOT teach Physics subject?
A.	17
B.	28
C.	21
D.	7
Answer» C. 21

Discussion

65.	In the following diagram, Set U is the universal set and Set L, M and N represent students studying History, Geography and Language, respectively.Based on the given data, what is the total number of students studying Language and Geography but not History?
A.	9
B.	11
C.	19
D.	2
Answer» B. 11

Discussion

66.	In the given figure, how many red are pens?
A.	12
B.	32
C.	20
D.	29
Answer» C. 20

Discussion

67.	In the given figure, which number represents the paint brush which is not hair?
A.	4
B.	3
C.	5
D.	2
Answer» E.

Discussion

68.	In the given Venn diagram, the pentagon represents, ‘Cricketers’, the square represents ‘Chess players’ and the circle represents ‘Clerks’. The numbers given in the diagram represent the number of persons in that particular category.How many cricketers are chess players but NOT clerks?
A.	40
B.	34
C.	22
D.	36
Answer» D. 36

Discussion

69.	In a class of 100 students, every student has passed in one or more of the three subjects, i.e History, Economics and English. Among all the student, 24 students have passed in English only, 14 students have passed in History only 11 students have passed in both English and Economics only, and 12 students have passed in both English and History only. A total of 50 students have passed in History. If only 5 students have passed in all three subjects, then how many students have passed in Economies only?
A.	18
B.	20
C.	15
D.	10
Answer» D. 10

Discussion

70.	In a group of 15 people, 7 read Hindi, 8 read English and 3 read none of these languages. How many people read Hindi and English both?
A.	0
B.	3
C.	4
D.	5
Answer» C. 4

Discussion

71.	How many people belong to exactly one group?A. 11B. 10C. 14D. 12
A.	B
B.	A
C.	C
D.	D
Answer» C. C

Discussion

72.	Multiply the number which belongs to the square only with the sum of the numbers which belong to the trapezium only. What is the result ?
A.	45
B.	60
C.	75
D.	None of these
Answer» D. None of these

Discussion

73.	How many children like, both brown and white colour but not black?
A.	10
B.	20
C.	50
D.	None
Answer» E.

Discussion

74.	If the rectangle represents private employees, the triangle represents rural people, the circle represents doctors and the square represents graduates, which of the following represents rural privateemployees, who are graduates?
A.	2
B.	6
C.	7
D.	5
Answer» D. 5

Discussion

75.	How many students like exactly one subject?
A.	16
B.	12
C.	6
D.	22
Answer» E.

Discussion

76.	By which number, the trained married lecturers in the college are represented?A. 7B. 6C. 5D. 4
A.	B
B.	C
C.	A
D.	D
Answer» C. A

Discussion

77.	In the following Venn diagram, which number best represents Indian crop which is cereal but not rare?
A.	5
B.	4
C.	7
D.	3
Answer» D. 3

Discussion

78.	In the following figure, rectangle represents Journalists, circle represents Art critics, triangle represents Campers and square represents Mothers. Which set of letters represents Mothers who are Campers?
A.	DC
B.	BDCH
C.	EDC
D.	HEB
Answer» B. BDCH

Discussion

79.	In the given Venn diagram which letter represents all those who play Kabaddi as well as Football and also all the three games?
A.	S + V
B.	S + T
C.	Q + S
D.	S
Answer» D. S

Discussion

80.	In the following figure, rectangle represents Animators, circle represents Dancers, triangle represents Potters and square represents Mothers. Which set of letters represents Potters who are not Mothers?
A.	BA
B.	DC
C.	IH
D.	EF
Answer» D. EF

Discussion

81.	In the given figure, how many young women are not educated?
A.	31
B.	68
C.	99
D.	110
Answer» B. 68

Discussion

82.	In the Following figure, square represents Artists, triangle represents Military officers, circle represents Collectors and rectangle represents Fathers. Which set of letters represents Collectors who are either Artist or Fathers but not Military Officers?
A.	G, F, D, A
B.	B, C
C.	C, D
D.	B, C, G, F
Answer» C. C, D

Discussion

83.	In the following figure, rectangle represents Film critics, circle represents Bakers, triangle represents Divers and square represents Football players. Which set of letters represents Football players who are not Divers?
A.	ED
B.	FD
C.	GH
D.	DC
Answer» B. FD

Discussion

84.	In the following figure, the smaller triangle represents the teacher, the big triangle represents the politician, the circle represents the graduates and the square represents the members of parliament. Each different region is being represented by letters of the English alphabet.Who among the following politicians are neither teachers nor graduates?
A.	E, F
B.	D, E
C.	C, D
D.	L, H
Answer» E.

Discussion

85.	In the figure which number represents poisonous insects which are not black?
A.	2
B.	3
C.	4
D.	5
Answer» B. 3

Discussion

86.	In the following diagram, square represents teachers, rectangle represents engineers and triangle represents singers. Which one of the following represents teachers who are also singers?
A.	A, D
B.	B
C.	C, E
D.	E, F
Answer» D. E, F

Discussion

87.	In the following figure, rectangle represents Hairstylists, circle represents Racers, triangle represents Divers and square represents Fathers. Which set of letters represents fathers who are Divers?
A.	BA
B.	AC
C.	HA
D.	GA
Answer» E.

Discussion

88.	How many persons like Trekking and Reading but not cycling?
A.	12
B.	31
C.	44
D.	28
Answer» E.

Discussion

89.	In the following diagram, the circle represents college professor, the triangle stands for surgical specialist and medical specialists are represented by the rectangle.College professors who are also surgical specialists are represented by
A.	A
B.	B
C.	C
D.	D
Answer» E.

Discussion

90.	Find the minimum number of students who can speak both Tamil and Telugu.
A.	12
B.	15
C.	18
D.	22
Answer» D. 22

Discussion

91.	In the given Venn diagram, the square represents girls, the circle represents singers, the pentagon represents south Indians, and the rectangle represents graduates. The numbers given in the diagram represents the member of persons of that particular category.How many South Indian girls are singers but are not graduates ?
A.	25
B.	15
C.	16
D.	12
Answer» E.

Discussion

92.	In the following figure, rectangle represents Hairstylists, circle represents choreographers, triangle represents Mountain climbers and square represents Gymnasts. Which set of letters represents Gymnasts who are both Hairstylists as well as Mountain climbers?
A.	CF
B.	GF
C.	C
D.	BC
Answer» D. BC

Discussion

93.	In the following figure, rectangle represents Actors, circle represents Curators, triangle represents Poets and square represents Fathers. Which set of letters represents Poets who are not Fathers?
A.	BI
B.	FE
C.	HB
D.	DC
Answer» C. HB

Discussion

94.	How many students like either Spiderman or Batman?
A.	28
B.	12
C.	6
D.	18
Answer» E.

Discussion

95.	In the following figure, square represents Teachers, triangle represents swimmers, circle represents Nurses and rectangle represents Women. Which set of letters represents Teachers who are either swimmers or nurses?
A.	D, F
B.	A, B, D, F, G
C.	A, B, G
D.	I, C, H
Answer» D. I, C, H

Discussion

96.	In the following figure, rectangle represents Chefs, circle represents Choreographers, triangle represents Divers and square represents Americans. Which set of letters represents Americans who are either Choreographers or Divers?
A.	CDE
B.	EGI
C.	DEH
D.	BCH
Answer» D. BCH

Discussion

97.	In the given Venn diagram, the ‘circle’ represents ‘ladies’, the ‘triangle’, represents ‘teachers’, and the ‘rectangle’ represents ‘unmarried persons’. The numbers given in the diagram represent the number of persons in that particular category.How many married ladies are teachers?
A.	3
B.	6
C.	11
D.	9
Answer» B. 6

Discussion

98.	In the following diagram, the triangle represents ‘teachers’, the circle represents ‘intelligent’, the rectangle represent ‘urban’ and the square represents ‘males’. The numbers in different segments show the number of persons.How many urban intelligent teachers are not male?
A.	14
B.	4
C.	10
D.	12
Answer» D. 12

Discussion

99.	In the given Venn diagram, the 'Triangle' represents 'females', 'Circle' represents 'graduates'; the 'Rectangle' represents 'Employed' and the 'Square' represents 'Youth(under 30 years)'. The numbers given in the diagram represents number of persons of that particular category.How many female graduates who are under 30 years are employed?
A.	7
B.	12
C.	9
D.	5
Answer» E.

Discussion

100.	In the following figures, the square represents singers, the triangle represents directors, the circle represents producers, and the rectangle represents script writers. Which set of letters represents producers who are also directors?
A.	T, S
B.	S, U, W
C.	V, R
D.	P, Q
Answer» E.

Discussion

Explore topic-wise MCQs in Discrete Mathematics.

In the following Venn diagram, the rectangle represents the number of RPS supporters, the triangle represents the number of MI supporters and the circle represents the number of KKR supporters. How many of them support MI and KKR but not RPS?

In the following figure, rectangle represents Hairstylists, circle represents Food stylists, triangle represents Playwrights and square represents Indians. Which set of letters represents Indians who are not Hairstylists?

A sports club has 57 members as represented by the given figure. The circle represents members who play badminton, the pentagon represnents members who play tennis and the triangle represents members who play cricket. How many members of the club do NOT play badminton?

How many passed only one of the three sections?A. 21B. 42C. 63D. 52

In the following figure, rectangle represents Dentists, circle represents Bloggers, triangle represents Comedians and square represents Boxers. Which set of letters represents Dentists who are only either Bloggers or Comedians?

In the following figure, rectangle represents Fashion designers, circle represents Equestrians, triangle represents Campers and square represents Golfers. Which set of letters represents Equestrians who are not Fashion designers?

In the given figure, how many yellow birds are there?

In the following figure, square represents cardiologists, triangle represents Architects, circle represents Indians and rectangle represents Father. Which set of letters represents Indian who are not Fathers?

Based on the given Venn diagram, answer the following question.A- People who are efficientB- People who are honestC- People who are hard-workingWhich segment represents people who are only hardworking but not honest or efficient?

In the given figure, how many big bottles are not blue?

In the following figure, square represents Priests, triangle represents singers, Circle represents Therapists and rectangle represents Indians. Which set of letters represents Indians who are not priests?

In the given figure, how many colour televisions are not wide?

In the following diagram, Set U is the universal set and Set L, M and N represent students studying History, Geography and Language, respectively.Based on the given data, what is the total number of students studying Language and Geography but not History?

In the given figure, how many red are pens?

In the given figure, which number represents the paint brush which is not hair?

In the given Venn diagram, the pentagon represents, ‘Cricketers’, the square represents ‘Chess players’ and the circle represents ‘Clerks’. The numbers given in the diagram represent the number of persons in that particular category.How many cricketers are chess players but NOT clerks?

In a group of 15 people, 7 read Hindi, 8 read English and 3 read none of these languages. How many people read Hindi and English both?

How many people belong to exactly one group?A. 11B. 10C. 14D. 12

Multiply the number which belongs to the square only with the sum of the numbers which belong to the trapezium only. What is the result ?

How many children like, both brown and white colour but not black?

If the rectangle represents private employees, the triangle represents rural people, the circle represents doctors and the square represents graduates, which of the following represents rural privateemployees, who are graduates?

How many students like exactly one subject?

By which number, the trained married lecturers in the college are represented?A. 7B. 6C. 5D. 4

In the following Venn diagram, which number best represents Indian crop which is cereal but not rare?

In the following figure, rectangle represents Journalists, circle represents Art critics, triangle represents Campers and square represents Mothers. Which set of letters represents Mothers who are Campers?

In the given Venn diagram which letter represents all those who play Kabaddi as well as Football and also all the three games?

In the following figure, rectangle represents Animators, circle represents Dancers, triangle represents Potters and square represents Mothers. Which set of letters represents Potters who are not Mothers?

In the given figure, how many young women are not educated?

In the Following figure, square represents Artists, triangle represents Military officers, circle represents Collectors and rectangle represents Fathers. Which set of letters represents Collectors who are either Artist or Fathers but not Military Officers?

In the following figure, rectangle represents Film critics, circle represents Bakers, triangle represents Divers and square represents Football players. Which set of letters represents Football players who are not Divers?

In the figure which number represents poisonous insects which are not black?

In the following diagram, square represents teachers, rectangle represents engineers and triangle represents singers. Which one of the following represents teachers who are also singers?

In the following figure, rectangle represents Hairstylists, circle represents Racers, triangle represents Divers and square represents Fathers. Which set of letters represents fathers who are Divers?

How many persons like Trekking and Reading but not cycling?

In the following diagram, the circle represents college professor, the triangle stands for surgical specialist and medical specialists are represented by the rectangle.College professors who are also surgical specialists are represented by

Find the minimum number of students who can speak both Tamil and Telugu.

In the following figure, rectangle represents Hairstylists, circle represents choreographers, triangle represents Mountain climbers and square represents Gymnasts. Which set of letters represents Gymnasts who are both Hairstylists as well as Mountain climbers?

In the following figure, rectangle represents Actors, circle represents Curators, triangle represents Poets and square represents Fathers. Which set of letters represents Poets who are not Fathers?

How many students like either Spiderman or Batman?

In the following figure, square represents Teachers, triangle represents swimmers, circle represents Nurses and rectangle represents Women. Which set of letters represents Teachers who are either swimmers or nurses?

In the following figure, rectangle represents Chefs, circle represents Choreographers, triangle represents Divers and square represents Americans. Which set of letters represents Americans who are either Choreographers or Divers?

In the following diagram, the triangle represents ‘teachers’, the circle represents ‘intelligent’, the rectangle represent ‘urban’ and the square represents ‘males’. The numbers in different segments show the number of persons.How many urban intelligent teachers are not male?

In the following figures, the square represents singers, the triangle represents directors, the circle represents producers, and the rectangle represents script writers. Which set of letters represents producers who are also directors?