Direction: In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.Statements: I. All books are thick.II. Some thick are white.Conclusions: I. Some books are white.II. Some books are not white.

Either conclusion I or conclusion II follows.

In the given figure, the circle represents boys, triangle represents students, and rectangle represents teenagers. What does M represent?

Students who are both boys and teenagers

Students who are teenagers only

Students who are boys but not teenagers

453 + Mcqs in Venn Diagram in Discrete Mathematics Page 4 McqOptions

151.	In the given Venn diagram, the ‘rectangle’ represent ‘travellers who like to travel by plan’ , the ‘circle’ represents ‘travellers who like to travel by bus’ , and the ‘triangle’ represent travellers who like to travel by train’, The number given in the diagram represent the number of travellers in that particular category.How many traveller like to travel either by train or plane but NOT by bus?
A.	36
B.	27
C.	30
D.	29
Answer» D. 29

Discussion

152.	In the following figure, rectangle represents Web designers, circle represents Athlete, Triangle represents Sculptors and square represents Asians. Which set of letters represents Asians Who are not Athletes?
A.	DEF
B.	D
C.	GF
D.	DE
Answer» C. GF

Discussion

153.	In the given figure, how many books are either old or historic but not both?
A.	195
B.	131
C.	149
D.	96
Answer» D. 96

Discussion

154.	In the following Venn diagram, the triangle stands for 'Teachers in school', the circle stands for 'Female Teachers' and the rectangle stands for 'Trained teachers'.How many trained female teacher are there in the school ?
A.	5
B.	4
C.	7
D.	2
Answer» B. 4

Discussion

155.	In the following figure, rectangle represents Authors, circle represents Art critics, triangle represents Tattooists and square represents Joggers. Which set of letters represents Joggers who are either Art critics or Authors?
A.	BAH
B.	CBA
C.	AHF
D.	BH
Answer» E.

Discussion

156.	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 following question.People who are not laborious, enterprising and disciplined are represented by
A.	Q
B.	T
C.	U
D.	V
Answer» E.

Discussion

157.	How many students have chosen Arts course and Science course but not the Dance course?
A.	23
B.	12
C.	35
D.	44
Answer» B. 12

Discussion

158.	In a batch of 68 students, 23 students do not participate in any of the two games i.e. cricket and squash, 17 students participate in cricket only, 24 students participate in cricket and squash. How many students participate in squash only?
A.	28
B.	4
C.	21
D.	20
Answer» C. 21

Discussion

159.	In the given figure, A represents people liking APPLES, B represents people likingBANANAS, C represents people liking CHIKOO.How many people like all three?
A.	3
B.	5
C.	6
D.	18
Answer» B. 5

Discussion

160.	Arrange the following words in a logical and meaningful order.1. Summer2. Winter3. Monsoon4. Spring5. Autumn
A.	4, 1, 3, 5, 2
B.	4, 5, 3, 1, 2
C.	4, 1, 5, 3, 2
D.	4, 3, 1, 5, 2
Answer» B. 4, 5, 3, 1, 2

Discussion

161.	In the following figure, square represents Doctors, triangle represents Artists, circle represents Weight-lifters and rectangle represents Russians. Which set of letters represents Russians who are not doctors?
A.	A
B.	E, F, A
C.	A, B, C
D.	B, C, D
Answer» E.

Discussion

162.	How many people who travel by train also travel by car or bus but not cycle?A. 50B. 70C. 80D. 100
A.	C
B.	D
C.	B
D.	A
Answer» B. D

Discussion

163.	Direction: In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.Statements: I. All books are thick.II. Some thick are white.Conclusions: I. Some books are white.II. Some books are not white.
A.	Only conclusion I follows.
B.	Only conclusion II follows.
C.	Both conclusion follow.
D.	Either conclusion I or conclusion II follows.
Answer» E.

Discussion

164.	In the given Venn diagram, which region represents Tall, Dark and Models?
A.	b
B.	f
C.	k
D.	g
Answer» C. k

Discussion

165.	How many among the following are educated male who are not urban residents?
A.	7
B.	8
C.	9
D.	11
Answer» E.

Discussion

166.	In the following figure, square represents athelets, triangle represents engineers, circle represents fathers and rectangle represents entrepreneurs. Which set of letters represents athelets who are either entrepreneurs or fathers?
A.	EF
B.	CJ
C.	CBJH
D.	ICGJ
Answer» E.

Discussion

167.	According to the given Venn diagram, the total number of students who play cricket as well as Kabaddi but not football is ______.
A.	T
B.	R
C.	U
D.	V
Answer» B. R

Discussion

168.	In the following figure, rectangle represents Paramedics, circle represents Equestrians, triangle represents Photographers and square represents Fathers. Which set of letters represents Paramedics who are Photographers?
A.	F
B.	E
C.	G
D.	H
Answer» E.

Discussion

169.	How many students play Cricket only?
A.	11
B.	13
C.	8
D.	5
Answer» B. 13

Discussion

170.	Among 80 students, 24 passed in Chemistry, 35 passed in Physics and 29 passed in Mathematics, 8 students did not appear for the examination. If 2 students have passed in all the three subjects, 2 students have passed in Physics and Chemistry both but not in Mathematics, 2 students have passed in Chemistry and Mathematics both but not in Physics, and 8 students have passed in Physics and Mathematics both but not in Chemistry, then how many students have passed in Mathematics only?
A.	19
B.	18
C.	20
D.	17
Answer» E.

Discussion

171.	In the following figure, the triangle represents bakers, the square represents teachers, the circle represents Americans and the rectangle represents mothers. Which letter or set of letters represents the mothers who are neither Americans nor bakers?
A.	A
B.	EF
C.	C
D.	I
Answer» C. C

Discussion

172.	In the given figure, how many sour fruits are there?
A.	27
B.	53
C.	50
D.	43
Answer» E.

Discussion

173.	In the following Venn diagram, the 'Rectangle' stands for 'Judges', the 'Triangle' stands for 'Males' and the 'Hexagon' stands for 'Golf players'. The given numbers represent the number of persons in that particular category. How many male judges are there in total?
A.	22
B.	26
C.	34
D.	17
Answer» D. 17

Discussion

174.	In the following figure, square represents Psychologists, triangle represents Chemists, circle represents Actors and rectangle represents Fathers. Which set of letters represents Psychologists and actors who are also fathers?
A.	G, D, A
B.	F, A, C
C.	E, G
D.	E, D, A
Answer» D. E, D, A

Discussion

175.	In the following figure, rectangle represents Film directors, circle represents Bikers, triangle represents Riders and square represents Asians. Which set of letters represents Film directors who are Riders?
A.	BCD
B.	BC
C.	B
D.	C
Answer» C. B

Discussion

176.	How many people speak more than one language?A. 15B. 45C. 50D. 55
A.	B
B.	A
C.	C
D.	D
Answer» B. A

Discussion

177.	How many people use both Train and Bus to travel to work?
A.	3
B.	2
C.	5
D.	4
Answer» C. 5

Discussion

178.	In the given figure, which number represents houses, which are red and tall?
A.	7
B.	4
C.	8
D.	11
Answer» C. 8

Discussion

179.	In a class of 38 students, 18 students like cricket, 20 like football and 15 like chess. 8 students like both cricket and chess and 3 out of these also like football. 7 students like only cricket and 6 students like only chess. How many students like only football?
A.	11
B.	13
C.	15
D.	17
Answer» C. 15

Discussion

180.	In the given Venn Diagram, if the 'circle' represents 'senior lawyers', the 'triangle' represents 'fathers' and the 'rectangle' represents 'Indians', then how many Indian senior lawyers are there who are NOT fathers?
A.	36
B.	12
C.	25
D.	61
Answer» B. 12

Discussion

181.	In the given Venn Diagram, the triangle represents politicians, the circle represents lawyers, the rectangle represents teachers and the square represents businessmen. The numbers given in the diagram represent the number of persons of that particular category.How many lawyers are also teachers, but are neither politicians nor businessmen?
A.	18
B.	7
C.	12
D.	10
Answer» B. 7

Discussion

182.	How many know at least one language?A. 3550B. 3000C. 1850D. 3500
A.	A
B.	B
C.	C
D.	D
Answer» B. B

Discussion

183.	Out of a total of 120 musicians in a club, 5% can play all three instruments - guitar, violin and flute. It so happens that the number of musicians who can play any two and only two of the above instruments is 30. The number of musicians who can play the guitar alone is 40. What is the total number of those who can play violin or flute alone?
A.	30
B.	38
C.	44
D.	45
Answer» D. 45

Discussion

184.	As per the given Venn diagram, the total number of students who play Cricket as well as Football but not Kabaddi is ______.
A.	P
B.	V
C.	T
D.	R
Answer» C. T

Discussion

185.	In the given Venn diagram which number shows players who are neither Teachers nor Singers ?
A.	5
B.	17
C.	4
D.	12
Answer» E.

Discussion

186.	In the given venn diagram, 'A' denotes 'likes teaching', 'B' denotes 'likes cooking', and 'C' denotes 'likes playing'. How many persons like only teaching and playing but NOT cooking?
A.	41
B.	23
C.	48
D.	29
Answer» B. 23

Discussion

187.	In a school, there are five teachers, A and B both are teaching Hindi and English. C and B both are teaching English and Geography. D and A both are Punjabi and Hindi. E and B both are teaching History and French Who among the teachers is teaching maximum number of subjects?
A.	A
B.	B
C.	D
D.	C and E
Answer» C. D

Discussion

188.	Given below is a diagram representing the favourite fruits of the students in a school. How many children like either apples or mangoes or both but NO other fruit?
A.	38
B.	32
C.	35
D.	29
Answer» D. 29

Discussion

189.	In the following figure, sqaure represents Runners, triangle represents Scientists, circle represents Indians and rectangle represents Mothers. Which set of letters represents Indians who are runners?
A.	CEB
B.	HFE
C.	HF
D.	IG
Answer» D. IG

Discussion

190.	In the following Venn diagram, the 'pentagon' stands for 'sailors', the 'circle' stands for 'females', and the 'rhombus' stands for 'illiterate'. The given number represent the numbers of persons in that particular category. How many female sailors are NOT illiterate?
A.	28
B.	34
C.	9
D.	14
Answer» C. 9

Discussion

191.	In the given figure, the circle represents boys, triangle represents students, and rectangle represents teenagers. What does M represent?
A.	Students who are both boys and teenagers
B.	Students who are not boys
C.	Students who are teenagers only
D.	Students who are boys but not teenagers
Answer» E.

Discussion

192.	Find the suitable option for the given Venn diagram.
A.	Family, husband, wife
B.	Peacocks, crow, cocks
C.	Cows, figures, lions
D.	Cats, dogs, frogs
Answer» B. Peacocks, crow, cocks

Discussion

193.	In the given figure, which alphabet represents gel pens which are not blue?
A.	c
B.	d
C.	h
D.	b
Answer» B. d

Discussion

194.	In the following figure, the rectangle represents Therapists, the circle represents Racers, the triangle represents Sculptors and square represents Boxers. Which set of letters represents Boxers who are Racers?
A.	ED
B.	I
C.	BCD
D.	JI
Answer» C. BCD

Discussion

195.	In the following diagram, the rectangle represents students who like to play football, the circle represents students who like to play cricket, and the triangle represents students who like to play baseball.How many students like to play either baseball or football or both but do NOT like to play cricket?
A.	39
B.	12
C.	51
D.	58
Answer» D. 58

Discussion

196.	Choose the best suitable Venn diagram for the following words: Females, Mothers,Sisters
A.	1
B.	2
C.	3
D.	4
Answer» C. 3

Discussion

197.	In the following diagram, there are 3 intersecting circles intersecting 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 a letter.Which letter represents those candidates who are educated in computers but are neither graduates nor know rules and regulations of office?
A.	a
B.	b
C.	c
D.	d
Answer» B. b

Discussion

198.	How many kids like both Chocolate and Vanilla but not Strawberry?
A.	5
B.	7
C.	12
D.	15
Answer» E.

Discussion

199.	In the Venn diagram given below, the 'rectangle' represents 'Male' the triangle' represents 'Engineers', and the 'circle' represents 'Tall People'. The numbers given in the diagram represent number of persons of that particular category.Find the number of engineers who are NOT males.
A.	19
B.	10
C.	9
D.	13
Answer» E.

Discussion

200.	Among 500 villagers, 40% are doing businesses and 80% are doing jobs. If all of the mare either doing business or jobs, then the number of villagers who are doing only job are how much more than that who are doing only business?
A.	400
B.	100
C.	200
D.	300
Answer» D. 300

Discussion

Explore topic-wise MCQs in Discrete Mathematics.

In the following figure, rectangle represents Web designers, circle represents Athlete, Triangle represents Sculptors and square represents Asians. Which set of letters represents Asians Who are not Athletes?

In the given figure, how many books are either old or historic but not both?

In the following Venn diagram, the triangle stands for 'Teachers in school', the circle stands for 'Female Teachers' and the rectangle stands for 'Trained teachers'.How many trained female teacher are there in the school ?

In the following figure, rectangle represents Authors, circle represents Art critics, triangle represents Tattooists and square represents Joggers. Which set of letters represents Joggers who are either Art critics or Authors?

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 following question.People who are not laborious, enterprising and disciplined are represented by

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

In a batch of 68 students, 23 students do not participate in any of the two games i.e. cricket and squash, 17 students participate in cricket only, 24 students participate in cricket and squash. How many students participate in squash only?

In the given figure, A represents people liking APPLES, B represents people likingBANANAS, C represents people liking CHIKOO.How many people like all three?

Arrange the following words in a logical and meaningful order.1. Summer2. Winter3. Monsoon4. Spring5. Autumn

In the following figure, square represents Doctors, triangle represents Artists, circle represents Weight-lifters and rectangle represents Russians. Which set of letters represents Russians who are not doctors?

How many people who travel by train also travel by car or bus but not cycle?A. 50B. 70C. 80D. 100

In the given Venn diagram, which region represents Tall, Dark and Models?

How many among the following are educated male who are not urban residents?

In the following figure, square represents athelets, triangle represents engineers, circle represents fathers and rectangle represents entrepreneurs. Which set of letters represents athelets who are either entrepreneurs or fathers?

According to the given Venn diagram, the total number of students who play cricket as well as Kabaddi but not football is ______.

In the following figure, rectangle represents Paramedics, circle represents Equestrians, triangle represents Photographers and square represents Fathers. Which set of letters represents Paramedics who are Photographers?

How many students play Cricket only?

In the following figure, the triangle represents bakers, the square represents teachers, the circle represents Americans and the rectangle represents mothers. Which letter or set of letters represents the mothers who are neither Americans nor bakers?

In the given figure, how many sour fruits are there?

In the following Venn diagram, the 'Rectangle' stands for 'Judges', the 'Triangle' stands for 'Males' and the 'Hexagon' stands for 'Golf players'. The given numbers represent the number of persons in that particular category. How many male judges are there in total?

In the following figure, square represents Psychologists, triangle represents Chemists, circle represents Actors and rectangle represents Fathers. Which set of letters represents Psychologists and actors who are also fathers?

In the following figure, rectangle represents Film directors, circle represents Bikers, triangle represents Riders and square represents Asians. Which set of letters represents Film directors who are Riders?

How many people speak more than one language?A. 15B. 45C. 50D. 55

How many people use both Train and Bus to travel to work?

In the given figure, which number represents houses, which are red and tall?

In a class of 38 students, 18 students like cricket, 20 like football and 15 like chess. 8 students like both cricket and chess and 3 out of these also like football. 7 students like only cricket and 6 students like only chess. How many students like only football?

In the given Venn Diagram, if the 'circle' represents 'senior lawyers', the 'triangle' represents 'fathers' and the 'rectangle' represents 'Indians', then how many Indian senior lawyers are there who are NOT fathers?

How many know at least one language?A. 3550B. 3000C. 1850D. 3500

As per the given Venn diagram, the total number of students who play Cricket as well as Football but not Kabaddi is ______.

In the given Venn diagram which number shows players who are neither Teachers nor Singers ?

In the given venn diagram, 'A' denotes 'likes teaching', 'B' denotes 'likes cooking', and 'C' denotes 'likes playing'. How many persons like only teaching and playing but NOT cooking?

In a school, there are five teachers, A and B both are teaching Hindi and English. C and B both are teaching English and Geography. D and A both are Punjabi and Hindi. E and B both are teaching History and French Who among the teachers is teaching maximum number of subjects?

Given below is a diagram representing the favourite fruits of the students in a school. How many children like either apples or mangoes or both but NO other fruit?

In the following figure, sqaure represents Runners, triangle represents Scientists, circle represents Indians and rectangle represents Mothers. Which set of letters represents Indians who are runners?

In the following Venn diagram, the 'pentagon' stands for 'sailors', the 'circle' stands for 'females', and the 'rhombus' stands for 'illiterate'. The given number represent the numbers of persons in that particular category. How many female sailors are NOT illiterate?

In the given figure, the circle represents boys, triangle represents students, and rectangle represents teenagers. What does M represent?

Find the suitable option for the given Venn diagram.

In the given figure, which alphabet represents gel pens which are not blue?

In the following figure, the rectangle represents Therapists, the circle represents Racers, the triangle represents Sculptors and square represents Boxers. Which set of letters represents Boxers who are Racers?

Choose the best suitable Venn diagram for the following words: Females, Mothers,Sisters

How many kids like both Chocolate and Vanilla but not Strawberry?

In the Venn diagram given below, the 'rectangle' represents 'Male' the triangle' represents 'Engineers', and the 'circle' represents 'Tall People'. The numbers given in the diagram represent number of persons of that particular category.Find the number of engineers who are NOT males.

Among 500 villagers, 40% are doing businesses and 80% are doing jobs. If all of the mare either doing business or jobs, then the number of villagers who are doing only job are how much more than that who are doing only business?