In the Venn diagram given below, the ‘Triangles’ represents ‘Managers’; the ‘Circle’ represents ‘Morning walkers’ and the ‘Square’ represents ‘Tax-payers’. The different areas of the diagram have been marked by a number for representation of a particular group.Which of the following group is represented by the area marked as ‘3’?

Managers who are morning walkers but are not tax-payers

Managers who are tax-payers but are not morning walkers

Managers who are morning walkers but are not tax-payers

Tax-payers who are morning walkers but are not managers

Managers who are tax-payers and morning walkers also

Directions: In these Questions, two statement P and Q are given. You may look into their logical acceptability and choose your answer.P: Some A's and some B's are C's. Some C's are both A's and B's. Therefore some A's are B'sQ: All A's are B's some C's are A's. Therefore, some C's are B's

P is correct and Q is wrong or Doubtful

P is wrong or doubtful and Q is correct

Both P and Q are wrong or doubtful

453 + Mcqs in Venn Diagram in Discrete Mathematics Page 6 McqOptions

251.	How many read only Indian Express?
A.	15
B.	25
C.	5
D.	10
Answer» C. 5

Discussion

252.	In the following figure, rectangle represent Dieticians, circle represent Floral designers, triangle represents gardeners and square represent Asians. Which set of letters represent floral designers who are not Gardeners?
A.	BKH
B.	ABC
C.	DEF
D.	GHI
Answer» D. GHI

Discussion

253.	In the following figure, rectangle represents actors, circle represents illustrator, triangle represents sculptors and square represents gymnasts. Which set of letters represents actors who are sculptors?
A.	EF
B.	DE
C.	FI
D.	FG
Answer» B. DE

Discussion

254.	In the given Venn diagram, the circle represents ‘businessmen’, the triangle represents ‘Landlords’ and the rectangle represents ‘income tax payers’. The numbers given in the diagram represent the number of persons in that category.How many businessmen are taxpayers but NOT landlords?
A.	17
B.	8
C.	22
D.	19
Answer» D. 19

Discussion

255.	In the following diagram, the triangle represent 'People who prefer strawberry icecream', the circle represents 'People who prefer vanilla icecream' and the rectangle represents 'People who prefer chocolate ice cream'.How many people prefer both, strawberry and vanilla ice cream, but do not prefer chocolate ice cream?
A.	7
B.	20
C.	10
D.	15
Answer» B. 20

Discussion

256.	In a music class, 12 students can play flute, 11 can play guitar and 10 can play violin. 6 students can play flute as well as guitar and 3 out of these can also play violin. 3 students can play only guitar and 4 students can play only violin. How many students can play only flute?
A.	4
B.	5
C.	6
D.	7
Answer» C. 6

Discussion

257.	How many kids like Strawberry but not Vanilla?
A.	4
B.	5
C.	7
D.	3
Answer» D. 3

Discussion

258.	In the following figure, square represents therapists, triangle represents bikers, circle represents engineers and rectangle represents men. Which set of letters represents men who are not engineers?
A.	H, I
B.	A, D, G
C.	J, E
D.	D, B, I
Answer» E.

Discussion

259.	In the following figure, square represents Interpreters, triangle represents Bikers, circle represents Teachers and rectangle represents Mothers. Which set of letters represents bikers who are Teachers?
A.	B, A, G
B.	F, E, B
C.	D, H, F
D.	A, B, E
Answer» E.

Discussion

260.	In the following Venn diagram, the 'Circle' stands for 'Journalists', the 'Triangle' stands for 'Females' and the 'Rectangle' stands for 'Urban residents'. The given numbers represent the number of persons in that particular category. How many journalists are females but NOT urban residents?
A.	13
B.	18
C.	9
D.	25
Answer» C. 9

Discussion

261.	In the following figure, square represents Engineers, triangle represents Programmers, circle represents singers and rectangle represents Indians. Which set of letters represents singers who are either Engineers or Programmers?
A.	G, G, A
B.	H, D, C
C.	F, A, E
D.	A, B, E
Answer» E.

Discussion

262.	How many read only The Hindu?
A.	5
B.	10
C.	25
D.	35
Answer» C. 25

Discussion

263.	Direction: Study the Venn Diagram and answer the questions asked below.Which of the following numbers in the Venn Diagram represents only 'wooden chair'?
A.	7
B.	4
C.	6
D.	5
Answer» B. 4

Discussion

264.	How many people who like Mars and like Jupiter also?
A.	45
B.	29
C.	26
D.	13
Answer» C. 26

Discussion

265.	How many passed all the three sections?A. 3B. 6C. 5D. 7
A.	B
B.	A
C.	C
D.	D
Answer» B. A

Discussion

266.	In the following figure, rectangle represents Paramedics, circle represents Athletes, triangle represents Poets and square represents Gymnasts. Which set of letters represents Gymnasts who are both Athletes as well as Poets?
A.	G
B.	GH
C.	IG
D.	IGH
Answer» B. GH

Discussion

267.	In the following figure, rectangle represents Pharmacists, circle represents Bloggers, triangle represents Trekkers and square represents Gymnasts. Which set of letters represents Gymnasts who are not Bloggers?
A.	DAGH
B.	BJK
C.	KIE
D.	AL
Answer» B. BJK

Discussion

268.	In the given figure, how many white apples are there?
A.	37
B.	73
C.	36
D.	88
Answer» C. 36

Discussion

269.	In the given figure, how many bottles are not brown?
A.	1, 26, 31
B.	13, 26 1
C.	1, 42, 26
D.	42, 13, 1
Answer» B. 13, 26 1

Discussion

270.	How many students like more than one subject?
A.	5
B.	10
C.	12
D.	17
Answer» E.

Discussion

271.	How many persons like Reading?
A.	170
B.	154
C.	176
D.	117
Answer» B. 154

Discussion

272.	Given below is a diagram representing the favourite fruits of the students in a school. What is the total number of students that have been surveyed?
A.	96
B.	84
C.	87
D.	90
Answer» E.

Discussion

273.	In the Venn diagram given below, the ‘Triangles’ represents ‘Managers’; the ‘Circle’ represents ‘Morning walkers’ and the ‘Square’ represents ‘Tax-payers’. The different areas of the diagram have been marked by a number for representation of a particular group.Which of the following group is represented by the area marked as ‘3’?
A.	Managers who are tax-payers but are not morning walkers
B.	Managers who are morning walkers but are not tax-payers
C.	Tax-payers who are morning walkers but are not managers
D.	Managers who are tax-payers and morning walkers also
Answer» B. Managers who are morning walkers but are not tax-payers

Discussion

274.	In a class of 50 students, 18 take Chorus, 26 take Band and 2 take Chorus and Band. How many students in the class are not enrolled in either chorus or Band?
A.	12
B.	8
C.	10
D.	6
Answer» C. 10

Discussion

275.	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 players participated in all the three games?
A.	32
B.	38
C.	34
D.	30
Answer» D. 30

Discussion

276.	In the following Venn diagram, the triangle stands for 'singer', the circle stands for 'dancers', and the rectangle stands for 'engineers', The different sections are marked by letters.Which section stands for engineers who are singers as well as dancers?
A.	C
B.	F
C.	D
D.	E
Answer» E.

Discussion

277.	A prestigious company had called for candidates to be interviewed. Their data has been presented by the given Venn diagram. The circle represents MBA candidates from a reputed institution, the triangle represents candidates with an experience of more than 10 years, the rectangle represents industrious candidates and the square represents candidates aged between 40 and 50 years. The numbers given in the diagram represent the number of persons of that particular category. The company has called for the final interview, only those candidates who meet all the above criteria. How many people have been called for the final interview?
A.	6
B.	8
C.	7
D.	9
Answer» D. 9

Discussion

278.	In the following figure, square represents therapists, triangle represents Geneticists, circle represents yoga practitioners and rectangle represents Fathers. Which set of letters represents yoga practitioners who are fathers?
A.	CBIK
B.	DC
C.	IF
D.	CM
Answer» B. DC

Discussion

279.	According to the following venn diagram how many people’s hobby is dancing and reading and travelling but not playing cricket?
A.	9
B.	11
C.	10
D.	12
Answer» D. 12

Discussion

280.	In the following figure, square represents directors, triangle represents actors, circle represents singers and rectangle represents producers. Which set of letters represents producers who are also directors and singers who are not actors?
A.	T, S and P
B.	Q, W, X and P
C.	Q, W and P
D.	T, S, X and P
Answer» E.

Discussion

281.	Directions: In these Questions, two statement P and Q are given. You may look into their logical acceptability and choose your answer.P: Some A's and some B's are C's. Some C's are both A's and B's. Therefore some A's are B'sQ: All A's are B's some C's are A's. Therefore, some C's are B's
A.	Both P & Q are true
B.	P is correct and Q is wrong or Doubtful
C.	P is wrong or doubtful and Q is correct
D.	Both P and Q are wrong or doubtful
Answer» B. P is correct and Q is wrong or Doubtful

Discussion

282.	In the following figure, the rectangle represents Engineers, circle represents Art critics, triangle represents Comedians and square represents Asians. Which set of letters represents Asians who are Art critics as well as Engineers?
A.	ECB
B.	AB
C.	B
D.	BH
Answer» D. BH

Discussion

283.	Direction: In the following diagram, there are 3 intersecting Circles showing 3 different classes, one showing those candidates who are educated in computers, second showing those who know rules and regulations of office and third showing graduates. Each part of the diagram is represented by an alphabet.Which alphabet represents those candidates who are educated in computers, know rules and regulations of office but are not graduates?
A.	b
B.	c
C.	d
D.	f
Answer» D. f

Discussion

284.	In the following figure, rectangle represents Journalists, circle represents Illustrators, triangle represents Poets and square represent Americans. Which set of letters represents Americans who are not Illustrators?
A.	AD
B.	CGFE
C.	A
D.	FE
Answer» D. FE

Discussion

285.	In a group of 73 friends, 14 friends go to Gym and Karate classes both, whereas 7 friends neither go to Gym class nor to Karate class. If a total of 36 friends go to Gym class, then how many friends go to only Karate class?
A.	44
B.	32
C.	30
D.	23
Answer» D. 23

Discussion

286.	In the following figure, square represents men, triangle represents judo players, circle represents karate players and rectangle represents women. Which set of letters represents men who are karate players and Judo players who are not men?
A.	B and C
B.	E and F
C.	E and B
D.	B and A
Answer» E.

Discussion

287.	Find the number of persons who read either novels or poems.
A.	77
B.	82
C.	45
D.	53
Answer» B. 82

Discussion

288.	In the given figure, Which letter represents carnivorous plants which are not green?
A.	d
B.	g
C.	e
D.	f
Answer» B. g

Discussion

289.	In the following diagram, the triangle represents ‘rich’, the circle represents ‘Farmer’ and the rectangle represents ‘rural’. The numbers in different segments show the number of persons.How many rich Farmers are not rural?
A.	12
B.	8
C.	7
D.	4
Answer» E.

Discussion

290.	In the given Venn diagram, the triangle represents student playing table tennis, the rectangle represents students playing badminton, the circle represent female students, and the pentagon represents student playing football. The numbers given in the diagram represent the number of persons in that particular category.How many female students play both table tennis and badminton only?
A.	18
B.	9
C.	22
D.	7
Answer» E.

Discussion

291.	In the following figure, the square represents dieticians, the triangle represents botanists, the circle represents psychologists and the rectangle represents Indians. Which set of letters represents the psychologists who are also botanists?
A.	ABEC
B.	AGE
C.	AB
D.	AEF
Answer» D. AEF

Discussion

292.	In the following Venn diagram, the 'rectangle' stands for 'farmers', the 'circle' stands for 'land - owners', and the 'triangle' stands for 'cattle-owners'. The given letters represent the groups of persons in that particular category. Which of the following options represents the category of farmers who own cattle but do NOT own land?
A.	D
B.	C
C.	G
D.	F
Answer» C. G

Discussion

293.	Given below is a diagram representing the favourite fruits of the students in a school. What is the number of children who like exactly 2 fruits - no more and no less?
A.	41
B.	32
C.	29
D.	35
Answer» E.

Discussion

294.	In the given Venn diagram, the ‘rectangle’ represents ‘ladies of a club’, the ‘triangle’ represents ‘like to dance’, the ‘circle’ represents ‘like to sing’ and the ‘pentagon’ represents ‘like to mimic’. The numbers given in the diagram represents the number of persons in that particular category.How many ladies of the club NEITHER like to dance NOR like to mimic?
A.	23
B.	26
C.	64
D.	72
E.	None
Answer» D. 72

Discussion

295.	According to the given Venn diagram, the total number of students who play "cricket as well as football" and also "all the 3 games" is: ________.
A.	S
B.	S + Q
C.	S + V
D.	Q + V
Answer» D. Q + V

Discussion

296.	How many people use either Train or Bus to travel to work?
A.	41
B.	44
C.	45
D.	40
Answer» E.

Discussion

297.	In the following diagram, the triangle represents ‘actors’, the circle represents ‘instrumentalists’ and rectangle represents ‘dancers’. The numbers in different segments show the number of persons.How many dancers are instrumentalists but not actors?
A.	17
B.	21
C.	12
D.	20
Answer» B. 21

Discussion

298.	In the given figure, which number/numbers represent papers which are books?
A.	2 and 3
B.	2 and 5
C.	3 and 4
D.	Only 2
Answer» B. 2 and 5

Discussion

299.	According to the given Venn diagram, which number represents ‘Boys who participate in athletics and also play cricket’?
A.	2
B.	3
C.	1
D.	11
Answer» C. 1

Discussion

300.	In the given figure, the circle represents graduate, triangle represents working people, and square represents post graduate. Which region represents graduate and post graduate but not working people?
A.	D
B.	G
C.	F
D.	C
Answer» D. C

Discussion

Explore topic-wise MCQs in Discrete Mathematics.

How many read only Indian Express?

In the following figure, rectangle represent Dieticians, circle represent Floral designers, triangle represents gardeners and square represent Asians. Which set of letters represent floral designers who are not Gardeners?

In the following figure, rectangle represents actors, circle represents illustrator, triangle represents sculptors and square represents gymnasts. Which set of letters represents actors who are sculptors?

In the given Venn diagram, the circle represents ‘businessmen’, the triangle represents ‘Landlords’ and the rectangle represents ‘income tax payers’. The numbers given in the diagram represent the number of persons in that category.How many businessmen are taxpayers but NOT landlords?

In a music class, 12 students can play flute, 11 can play guitar and 10 can play violin. 6 students can play flute as well as guitar and 3 out of these can also play violin. 3 students can play only guitar and 4 students can play only violin. How many students can play only flute?

How many kids like Strawberry but not Vanilla?

In the following figure, square represents therapists, triangle represents bikers, circle represents engineers and rectangle represents men. Which set of letters represents men who are not engineers?

In the following figure, square represents Interpreters, triangle represents Bikers, circle represents Teachers and rectangle represents Mothers. Which set of letters represents bikers who are Teachers?

In the following Venn diagram, the 'Circle' stands for 'Journalists', the 'Triangle' stands for 'Females' and the 'Rectangle' stands for 'Urban residents'. The given numbers represent the number of persons in that particular category. How many journalists are females but NOT urban residents?

In the following figure, square represents Engineers, triangle represents Programmers, circle represents singers and rectangle represents Indians. Which set of letters represents singers who are either Engineers or Programmers?

How many read only The Hindu?

Direction: Study the Venn Diagram and answer the questions asked below.Which of the following numbers in the Venn Diagram represents only 'wooden chair'?

How many people who like Mars and like Jupiter also?

How many passed all the three sections?A. 3B. 6C. 5D. 7

In the following figure, rectangle represents Paramedics, circle represents Athletes, triangle represents Poets and square represents Gymnasts. Which set of letters represents Gymnasts who are both Athletes as well as Poets?

In the following figure, rectangle represents Pharmacists, circle represents Bloggers, triangle represents Trekkers and square represents Gymnasts. Which set of letters represents Gymnasts who are not Bloggers?

In the given figure, how many white apples are there?

In the given figure, how many bottles are not brown?

How many students like more than one subject?

How many persons like Reading?

Given below is a diagram representing the favourite fruits of the students in a school. What is the total number of students that have been surveyed?

In a class of 50 students, 18 take Chorus, 26 take Band and 2 take Chorus and Band. How many students in the class are not enrolled in either chorus or Band?

In the following Venn diagram, the triangle stands for 'singer', the circle stands for 'dancers', and the rectangle stands for 'engineers', The different sections are marked by letters.Which section stands for engineers who are singers as well as dancers?

In the following figure, square represents therapists, triangle represents Geneticists, circle represents yoga practitioners and rectangle represents Fathers. Which set of letters represents yoga practitioners who are fathers?

According to the following venn diagram how many people’s hobby is dancing and reading and travelling but not playing cricket?

In the following figure, square represents directors, triangle represents actors, circle represents singers and rectangle represents producers. Which set of letters represents producers who are also directors and singers who are not actors?

Directions: In these Questions, two statement P and Q are given. You may look into their logical acceptability and choose your answer.P: Some A's and some B's are C's. Some C's are both A's and B's. Therefore some A's are B'sQ: All A's are B's some C's are A's. Therefore, some C's are B's

In the following figure, the rectangle represents Engineers, circle represents Art critics, triangle represents Comedians and square represents Asians. Which set of letters represents Asians who are Art critics as well as Engineers?

In the following figure, rectangle represents Journalists, circle represents Illustrators, triangle represents Poets and square represent Americans. Which set of letters represents Americans who are not Illustrators?

In a group of 73 friends, 14 friends go to Gym and Karate classes both, whereas 7 friends neither go to Gym class nor to Karate class. If a total of 36 friends go to Gym class, then how many friends go to only Karate class?

In the following figure, square represents men, triangle represents judo players, circle represents karate players and rectangle represents women. Which set of letters represents men who are karate players and Judo players who are not men?

Find the number of persons who read either novels or poems.

In the given figure, Which letter represents carnivorous plants which are not green?

In the following diagram, the triangle represents ‘rich’, the circle represents ‘Farmer’ and the rectangle represents ‘rural’. The numbers in different segments show the number of persons.How many rich Farmers are not rural?

In the following figure, the square represents dieticians, the triangle represents botanists, the circle represents psychologists and the rectangle represents Indians. Which set of letters represents the psychologists who are also botanists?

Given below is a diagram representing the favourite fruits of the students in a school. What is the number of children who like exactly 2 fruits - no more and no less?

According to the given Venn diagram, the total number of students who play "cricket as well as football" and also "all the 3 games" is: ________.

How many people use either Train or Bus to travel to work?

In the following diagram, the triangle represents ‘actors’, the circle represents ‘instrumentalists’ and rectangle represents ‘dancers’. The numbers in different segments show the number of persons.How many dancers are instrumentalists but not actors?

In the given figure, which number/numbers represent papers which are books?

According to the given Venn diagram, which number represents ‘Boys who participate in athletics and also play cricket’?

In the given figure, the circle represents graduate, triangle represents working people, and square represents post graduate. Which region represents graduate and post graduate but not working people?