Inspect the following figure and find the region which represents the government employee who live in own house and compulsorily graduate.

None of the above/More than one of the above

1. Some football players play cricket.2. All cricket players play hockey.Among the options given below, the statement that logically follows from the two statements 1 and 2 above, is:

No football player plays hockey

Some football players play hockey.

No football player plays hockey

All hockey players play football

All football players play hockey.

Artists are generally whimsical. Some of them are frustrated. Frustrated people are prone to be drug addicts. Based on these statements which of the following conclusions is true?

All frustrated people are drug addicts

Frustrated people are whimsical

453 + Mcqs in Venn Diagram in Discrete Mathematics Page 5 McqOptions

201.	In the given figure, how many black buttons are shirts?
A.	37
B.	19
C.	36
D.	27
Answer» C. 36

Discussion

202.	In the following Venn diagram, the 'Circle' stands for 'Lawyers', the 'Hexagon' stands for 'Females' and the 'Rectangle' stands for 'Food-lovers'. The given numbers represent the number of persons in that particular category. How many females are both food-lovers and lawyers?
A.	12
B.	27
C.	19
D.	7
Answer» B. 27

Discussion

203.	In the given figure, which number represents white glass which is not cup?
A.	2
B.	3
C.	6
D.	4
Answer» D. 4

Discussion

204.	In the following diagram, the triangle represents ‘cricket players’, the circle represents ‘students’, the rectangle represents ‘boys’ and the square represents ‘dancers’. The numbers in different segments shown the number of persons.How many students are dancers and cricket players but not boys?
A.	7
B.	12
C.	4
D.	16
Answer» B. 12

Discussion

205.	In the given ﬁgure, the circle represents Smokers, rectangle represents alcoholic addicts and triangle represents tobacco chewer. Which number represents Smokers who are tobacco chewer, but not Alcohol addict?
A.	2
B.	6
C.	4
D.	5
Answer» B. 6

Discussion

206.	In a school represented by Box D, rectangle B represents the number of students who speak Bengali, rectangle A represents the number of students who speak Tamil and oval C represent the number of students who speak Hindi. Identify the number of students in the school who can speak either Hindi or Bengali or both but not Tamil.
A.	292
B.	281
C.	309
D.	291
Answer» D. 291

Discussion

207.	How many persons like Reading and Cycling but not Trekking?
A.	31
B.	12
C.	26
D.	28
Answer» B. 12

Discussion

208.	In the given figure, the circle stands for intelligent, square for hardworking, triangle for Post graduate and the rectangle for loyal employees. Study the figure and answer the following questions.Employees who are intelligent, hardworking and loyal but not post graduate are represented by
A.	11
B.	5
C.	4
D.	3
Answer» D. 3

Discussion

209.	Inspect the following figure and find the region which represents the government employee who live in own house and compulsorily graduate.
A.	EGHD
B.	BED
C.	BHG
D.	HGI
E.	None of the above/More than one of the above
Answer» F.

Discussion

210.	In the following figure, rectangle represents Copywriters, circle represents Cartoonist, triangle represents Comedians and square represents Mothers. Which set of letters represents Copywriters who are neither Comedians nor Mothers?
A.	BE
B.	CD
C.	AF
D.	IH
Answer» E.

Discussion

211.	In the given figure, how many people study only 2 subjects?
A.	11
B.	23
C.	12
D.	40
Answer» C. 12

Discussion

212.	In the following figure, rectangle represents Pharmacists, circle represents Lyricists, triangle represents Cooks and square represents Fathers. Which set of letters represents Pharmacists who are either Fathers or Cooks?
A.	EFG
B.	E
C.	IEF
D.	CEF
Answer» E.

Discussion

213.	In the following figure, rectangle represents fashion designers, circle represents Lyricists, triangle represents comedians and square represents Americans. Which set of letters represents fashion designers who are Lyricists?
A.	EI
B.	FE
C.	GH
D.	FG
Answer» C. GH

Discussion

214.	In the given figure, the circle represents married men, triangle represents working men, and rectangle represents adult. Which region represents married men who are also adult only?
A.	7
B.	5
C.	6
D.	2
Answer» B. 5

Discussion

215.	In the given figure, which number represents male cricketers who are adults but are not tall?
A.	3
B.	2
C.	8
D.	4
Answer» C. 8

Discussion

216.	1. Some football players play cricket.2. All cricket players play hockey.Among the options given below, the statement that logically follows from the two statements 1 and 2 above, is:
A.	Some football players play hockey.
B.	No football player plays hockey
C.	All hockey players play football
D.	All football players play hockey.
Answer» B. No football player plays hockey

Discussion

217.	How many students like at least two of the given subjects?
A.	63
B.	57
C.	46
D.	35
Answer» C. 46

Discussion

218.	In the figure, how many players are young?
A.	18
B.	20
C.	38
D.	46
Answer» D. 46

Discussion

219.	Point out the letter which represents Indians and Historians but not politicians on the basis of these three circles?
A.	b
B.	f
C.	b and f
D.	b and g
Answer» B. f

Discussion

220.	Below is given a figure with four intersecting circle, each representing a group of persons having the quality written against it. Study the figure carefully and answer the following question.The region which represents people who are not studious, but possess other three qualities is denoted by
A.	M
B.	N
C.	O
D.	W
Answer» D. W

Discussion

221.	In the Venn diagram given below, the ‘Circle’ represent ‘workers’; the ‘Triangle’ represents ‘males’ and the ‘Square’ represents ‘Performers’. The numbers given in the diagram represent the number of persons of that particular category.How many male workers are performers?
A.	15
B.	16
C.	10
D.	14
Answer» C. 10

Discussion

222.	In the following figure, the square represents painters, the triangle represents men, the circle represents accountants and the rectangle represents Americans. Which set of letters represents Americans who are NOT men?
A.	CDE
B.	AIGD
C.	JBKC
D.	HIGF
Answer» E.

Discussion

223.	How many students have chosen Dance course and Science course but not the Arts course?
A.	43
B.	44
C.	12
D.	23
Answer» C. 12

Discussion

224.	Artists are generally whimsical. Some of them are frustrated. Frustrated people are prone to be drug addicts. Based on these statements which of the following conclusions is true?
A.	All frustrated people are drug addicts
B.	Some artists be rug addicts
C.	All drug addicts are artists
D.	Frustrated people are whimsical
Answer» C. All drug addicts are artists

Discussion

225.	Consider the statements a, b, c and d given below. Which one of the codes contains the correct statements only?1) Venn diagram is a clear method of notation.2) To diagram a standard form of a categorical proposition, three overlapping circles are drawn.3) To test a categorical syllogism, two overlapping circles are drawn.4) Venn diagram is a method of testing the validity of categorical syllogisms.
A.	1 and 2 only
B.	1, 2 and 4 only
C.	1, 2, 3 and 4
D.	1 and 4 only
Answer» C. 1, 2, 3 and 4

Discussion

226.	How many kids like only one sport?
A.	50
B.	40
C.	35
D.	25
Answer» C. 35

Discussion

227.	In the following figure, square represents Americans, triangle represents Astronomers, circle represents Physicians and rectangle represents Men. Which set of letters represents men who are physicians?
A.	ABCD
B.	IJGK
C.	HFE
D.	IJAB
Answer» C. HFE

Discussion

228.	In the following figure, square represents hockey players, triangle represents cricket players, circle represents kabaddi players and rectangle represents football players. Which set of letters represents hockey players who do not play football and cricket players who play kabaddi?
A.	O, U And P
B.	R, S and U
C.	O, S and U
D.	Q, P and T
Answer» D. Q, P and T

Discussion

229.	In the given figure, the circle represents people who visited Bhopal, triangle represents people who visited Kochi, and square represents people who visited Patna. Which region represents people who visited both Bhopal and Kochi but not Patna?
A.	4
B.	1
C.	2
D.	5
Answer» C. 2

Discussion

230.	In the following diagram, the rectangle represents doctors, the triangle represents players and the circle represents philosophers.The numbers in different segments show the number of persons.According to the given diagram, How many players are philosophers but not Doctors?
A.	12
B.	17
C.	5
D.	7
Answer» C. 5

Discussion

231.	In the following figure, rectangle represents Electricians, circle represents Cartoonists, triangle represents Riders and square represents Indians. Which set of letters represents Indians who are either Cartoonists or Riders?
A.	BCDFG
B.	EDF
C.	E
D.	DF
Answer» E.

Discussion

232.	Consider the following diagramHow many students like both geography and mathematics but NOT history?
A.	21
B.	7
C.	4
D.	11
Answer» E.

Discussion

233.	In the following figure, rectangle represents Opticians, circle represents Illustrators, triangle represents Photographers and square represents Football players. Which set of letters represents Football players who areboth Photographers as well as Opticians?
A.	D
B.	ED
C.	DF
D.	EDF
Answer» B. ED

Discussion

234.	In the following figure, square represents Nurses, triangle represents cyclists, circle represents bachelors and rectangle represents Americans. Which set of letters represents Americans who are bachelors?
A.	LJ
B.	DGF
C.	IK
D.	JHI
Answer» E.

Discussion

235.	In the following figure, square represents astronauts, triangle represents swimmers, circle represents women and rectangle represents Indians. Which set of letters represents women who are either Indians or swimmers?
A.	C, D, I, E
B.	A, B, D, E, H, J
C.	B, C, D
D.	C
Answer» D. C

Discussion

236.	In the given figure, how many cardboard boxes are not white?
A.	6
B.	13
C.	7
D.	9
Answer» B. 13

Discussion

237.	In the following diagram, the triangle represents ‘army men’, the circle represents ‘athletes’ and the rectangle represents ‘strong men’. The number in different segments show the number of persons.How many strong army men are not athletes?
A.	13
B.	19
C.	11
D.	10
Answer» D. 10

Discussion

238.	Given below is a diagram representing the favourite fruits of the students in a school. How many children like only one (any one) fruit and no more?
A.	14
B.	52
C.	49
D.	46
Answer» D. 46

Discussion

239.	In the given Venn diagram, circle A represents books, circle B represents pens and circle C, represents pencils. Which number represents only books and pencils?
A.	23
B.	16
C.	5
D.	20
Answer» C. 5

Discussion

240.	In the following diagram, rectangle represents people who read English newspaper, circle represents urban people and triangle represents people who read Kannada newspaper. Which region represents non-urban people who read English newspaper?
A.	P
B.	O
C.	M
D.	N
Answer» D. N

Discussion

241.	In the following rectangle represents Opticians, circle represents Art critics, triangle represents Riders and square represents Boxers, which set of letters represents Art critics who are not Riders?
A.	BLEF
B.	IJ
C.	CHDG
D.	EDGJ
Answer» B. IJ

Discussion

242.	How many don’t like burger?
A.	18
B.	28
C.	38
D.	48
Answer» C. 38

Discussion

243.	In the following figure, the square represents Physicians, the triangle represents Cricket Players, the circle represents Men and rectangle represents Indians. Which set of the letters represents Cricket Players who are either Indians or Men?
A.	H, F, D
B.	A, B, E
C.	D, F, C
D.	A, G
Answer» E.

Discussion

244.	In the given figure, how many keys are duplicate but not steel?
A.	16
B.	18
C.	0
D.	34
Answer» D. 34

Discussion

245.	In the following figure, rectangle represents Psychologists, circle represents Curators, triangle represents Comedians and square represents Indians. Which set of letters represents Indians who are both Curators as well as Psychologists?
A.	GH
B.	IG
C.	IGH
D.	G
Answer» E.

Discussion

246.	In the given Venn diagram, A likes milk, B likes bread and C likes meat. Who likes all the given eating materials?
A.	Only B
B.	Only C
C.	Both B and C
D.	Both A and B
Answer» C. Both B and C

Discussion

247.	In the following diagram, the triangle represents ‘women’, the circle represents ‘graduates’ and the rectangle represents ‘teachers’. The numbers in different segments show the number of persons.How many women graduates are not teachers?
A.	9
B.	12
C.	17
D.	5
Answer» D. 5

Discussion

248.	In the following figure, the rectangle represents Cinematographers, circle represents Bloggers, triangle represents Potters and square represents Asians. Which set of letters represents Cinematographers who are neither Potters nor Asians?
A.	BJ
B.	B
C.	F
D.	GF
Answer» C. F

Discussion

249.	In the following figure, the rectangle represents Editors, the circle represents Choreographers, the triangle represents Jugglers and square represents Football players. Which set of letters represents Editors who are neither Jugglers nor Football players?
A.	DF
B.	FJI
C.	DB
D.	AB
Answer» E.

Discussion

250.	How many children who like lion, also like the tiger?
A.	5
B.	15
C.	35
D.	40
Answer» E.

Discussion

Explore topic-wise MCQs in Discrete Mathematics.

In the given figure, how many black buttons are shirts?

In the following Venn diagram, the 'Circle' stands for 'Lawyers', the 'Hexagon' stands for 'Females' and the 'Rectangle' stands for 'Food-lovers'. The given numbers represent the number of persons in that particular category. How many females are both food-lovers and lawyers?

In the given figure, which number represents white glass which is not cup?

In the given ﬁgure, the circle represents Smokers, rectangle represents alcoholic addicts and triangle represents tobacco chewer. Which number represents Smokers who are tobacco chewer, but not Alcohol addict?

How many persons like Reading and Cycling but not Trekking?

In the given figure, the circle stands for intelligent, square for hardworking, triangle for Post graduate and the rectangle for loyal employees. Study the figure and answer the following questions.Employees who are intelligent, hardworking and loyal but not post graduate are represented by

Inspect the following figure and find the region which represents the government employee who live in own house and compulsorily graduate.

In the following figure, rectangle represents Copywriters, circle represents Cartoonist, triangle represents Comedians and square represents Mothers. Which set of letters represents Copywriters who are neither Comedians nor Mothers?

In the given figure, how many people study only 2 subjects?

In the following figure, rectangle represents Pharmacists, circle represents Lyricists, triangle represents Cooks and square represents Fathers. Which set of letters represents Pharmacists who are either Fathers or Cooks?

In the following figure, rectangle represents fashion designers, circle represents Lyricists, triangle represents comedians and square represents Americans. Which set of letters represents fashion designers who are Lyricists?

In the given figure, the circle represents married men, triangle represents working men, and rectangle represents adult. Which region represents married men who are also adult only?

In the given figure, which number represents male cricketers who are adults but are not tall?

1. Some football players play cricket.2. All cricket players play hockey.Among the options given below, the statement that logically follows from the two statements 1 and 2 above, is:

How many students like at least two of the given subjects?

In the figure, how many players are young?

Point out the letter which represents Indians and Historians but not politicians on the basis of these three circles?

Below is given a figure with four intersecting circle, each representing a group of persons having the quality written against it. Study the figure carefully and answer the following question.The region which represents people who are not studious, but possess other three qualities is denoted by

In the Venn diagram given below, the ‘Circle’ represent ‘workers’; the ‘Triangle’ represents ‘males’ and the ‘Square’ represents ‘Performers’. The numbers given in the diagram represent the number of persons of that particular category.How many male workers are performers?

In the following figure, the square represents painters, the triangle represents men, the circle represents accountants and the rectangle represents Americans. Which set of letters represents Americans who are NOT men?

How many students have chosen Dance course and Science course but not the Arts course?

Artists are generally whimsical. Some of them are frustrated. Frustrated people are prone to be drug addicts. Based on these statements which of the following conclusions is true?

How many kids like only one sport?

In the following figure, square represents Americans, triangle represents Astronomers, circle represents Physicians and rectangle represents Men. Which set of letters represents men who are physicians?

In the following figure, square represents hockey players, triangle represents cricket players, circle represents kabaddi players and rectangle represents football players. Which set of letters represents hockey players who do not play football and cricket players who play kabaddi?

In the given figure, the circle represents people who visited Bhopal, triangle represents people who visited Kochi, and square represents people who visited Patna. Which region represents people who visited both Bhopal and Kochi but not Patna?

In the following diagram, the rectangle represents doctors, the triangle represents players and the circle represents philosophers.The numbers in different segments show the number of persons.According to the given diagram, How many players are philosophers but not Doctors?

In the following figure, rectangle represents Electricians, circle represents Cartoonists, triangle represents Riders and square represents Indians. Which set of letters represents Indians who are either Cartoonists or Riders?

Consider the following diagramHow many students like both geography and mathematics but NOT history?

In the following figure, rectangle represents Opticians, circle represents Illustrators, triangle represents Photographers and square represents Football players. Which set of letters represents Football players who areboth Photographers as well as Opticians?

In the following figure, square represents Nurses, triangle represents cyclists, circle represents bachelors and rectangle represents Americans. Which set of letters represents Americans who are bachelors?

In the following figure, square represents astronauts, triangle represents swimmers, circle represents women and rectangle represents Indians. Which set of letters represents women who are either Indians or swimmers?

In the given figure, how many cardboard boxes are not white?

In the following diagram, the triangle represents ‘army men’, the circle represents ‘athletes’ and the rectangle represents ‘strong men’. The number in different segments show the number of persons.How many strong army men are not athletes?

Given below is a diagram representing the favourite fruits of the students in a school. How many children like only one (any one) fruit and no more?

In the given Venn diagram, circle A represents books, circle B represents pens and circle C, represents pencils. Which number represents only books and pencils?

In the following diagram, rectangle represents people who read English newspaper, circle represents urban people and triangle represents people who read Kannada newspaper. Which region represents non-urban people who read English newspaper?

In the following rectangle represents Opticians, circle represents Art critics, triangle represents Riders and square represents Boxers, which set of letters represents Art critics who are not Riders?

How many don’t like burger?

In the following figure, the square represents Physicians, the triangle represents Cricket Players, the circle represents Men and rectangle represents Indians. Which set of the letters represents Cricket Players who are either Indians or Men?

In the given figure, how many keys are duplicate but not steel?

In the following figure, rectangle represents Psychologists, circle represents Curators, triangle represents Comedians and square represents Indians. Which set of letters represents Indians who are both Curators as well as Psychologists?

In the given Venn diagram, A likes milk, B likes bread and C likes meat. Who likes all the given eating materials?

In the following diagram, the triangle represents ‘women’, the circle represents ‘graduates’ and the rectangle represents ‘teachers’. The numbers in different segments show the number of persons.How many women graduates are not teachers?

In the following figure, the rectangle represents Cinematographers, circle represents Bloggers, triangle represents Potters and square represents Asians. Which set of letters represents Cinematographers who are neither Potters nor Asians?

In the following figure, the rectangle represents Editors, the circle represents Choreographers, the triangle represents Jugglers and square represents Football players. Which set of letters represents Editors who are neither Jugglers nor Football players?

How many children who like lion, also like the tiger?