Explore topic-wise MCQs in Discrete Mathematics.

This section includes 453 Mcqs, each offering curated multiple-choice questions to sharpen your Discrete Mathematics knowledge and support exam preparation. Choose a topic below to get started.

401.

In the given Venn diagram, the ‘rectangle’ represents ‘engineers’, the ‘circle’ represents ‘managers’, and the ‘triangle’ represents ‘married’, The numbers given in the diagram represent the number of persons in that particular category.How many people are married but NOT engineers?

A. 29
B. 70
C. 13
D. 16
Answer» B. 70
402.

In the given figure, how many white shoes are not tight?

A. 7
B. 16
C. 9
D. 13
Answer» B. 16
403.

In the following figure, Rhombus represents Authors, Circle represents Poets and triangle represents Actors. Which set of letters represents Poets who are neither Actors nor Authors?

A. a
B. d
C. e
D. b
Answer» B. d
404.

In the following figure, square represents Optometrists, triangle represents Painters, circle represents Vegetarians and rectangle represents Men. Which set of letters represents painters who are either men or vegetarians?

A. D, F
B. E, B
C. H, G, F
D. A, C, E
Answer» C. H, G, F
405.

In the following figure, rectangle represents Lawyers, circle represents Athletes, triangle represents Gardeners and square represents Mothers. Which set of letters represents Lawyers who are either Athletes or Gardeners?

A. HCE
B. DG
C. BFI
D. CDH
Answer» B. DG
406.

How many students like apple only?

A. 24
B. 37
C. 76
D. 39
Answer» B. 37
407.

Given below are two statements 1 and 2, and two conclusions I and II.Statement 1: All entrepreneurs are wealthy.Statement 2: All wealthy are risk seekers.Conclusion I: All risk seekers are wealthy.Conclusion II: Only some entrepreneurs are risk seekers.Based on the above statements and conclusions, which one of the following options is CORRECT?

A. Only conclusion II is correct
B. Neither conclusion I nor II is correct
C. Both conclusion I and II are correct
D. Only conclusion I is correct
Answer» C. Both conclusion I and II are correct
408.

In the given figure, how many moving cars are not red?

A. 22
B. 17
C. 12
D. 29
Answer» D. 29
409.

In the following figure, the square represents researchers, the triangle represents professors, the circle represents registrars, and the rectangle represents women. Which set of letters represents professors who are either women or registrars?

A. N, P
B. O, L
C. K, M, O
D. O, Q, P
Answer» C. K, M, O
410.

In the following figure, square represents Dietitians, triangle represents Botanists, circle represents Psychologists and rectangle represents Indians. Which set of letters represents Psychologists who are not Botanists?

A. D, G, A
B. A, B, C
C. F, E, C
D. H, B, D
Answer» C. F, E, C
411.

In the following figure, square represents Painters, triangle represents women, circle represents Accountants and rectangle represents Americans. Which set of letters represents Americans who are not accountants?

A. D, C, H
B. G, H
C. G, B, E
D. D, A
Answer» C. G, B, E
412.

In the given figure, which number represents brown animals which do not have a tail?

A. 7
B. 4
C. 5
D. 6
Answer» D. 6
413.

In the following figure, square represents Dentists, triangle represents Collectors, circle represents Indians and rectangle represents Women. Which set of letters represents Indians who are either collectors or women?

A. A, B, C
B. D, B, E
C. C, G, H
D. E, F, I
Answer» B. D, B, E
414.

In the given figure, how many thin are either player or young but not both?

A. 22
B. 39
C. 31
D. 25
Answer» D. 25
415.

How many students like both, Physics and mathematics but not English?

A. 11
B. 18
C. 9
D. 21
Answer» D. 21
416.

How many bikes are there in the housing society in all?

A. 50
B. 115
C. 65
D. 125
Answer» C. 65
417.

In a group of 1000 people, 750 speak Hindi and 400 speak English. The number of only Hindi speaking people is

A. 150
B. 350
C. 600
D. 750
Answer» D. 750
418.

How many among the following are only civil servants but not males nor urban and not uneducated ?

A. 7
B. 5
C. 9
D. 11
Answer» B. 5
419.

How many children like both lion and leopard?

A. 35
B. 55
C. 90
D. 95
Answer» D. 95
420.

Directions: Study the following figure and answer the question that followsWhich letter represents those scientists who are not artists?

A. B
B. D
C. L
D. F
Answer» E.
421.

In the given figure, the circle represents writers, triangle represents engineers, and square represents dancers. Which region represents writers and dancers but not an engineer?

A. G
B. D
C. C
D. E
Answer» C. C
422.

In the Venn diagram given below, the circle represents ‘North Indian’, the triangle represents ‘Pianists’, the rectangle represents ‘Males’ and the square represents ‘Engineers’. The numbers given in the diagram represents number of persons of that particular category. Who among the following is a female- North Indian- Engineer?

A. 5
B. 3
C. 2
D. 7
Answer» C. 2
423.

In the Venn diagram given below, the circle represents ‘Ladies’, the triangle represents ‘Constables’ and the square represents ‘Married persons’. The numbers given in the diagram represents number of persons of that particular category.How many lady constables are NOT married?

A. 15
B. 12
C. 14
D. 8
Answer» C. 14
424.

In the given Venn diagram, the circle represents ‘PhD students’, the triangle represents ‘science students’ and the rectangle represents ‘girls’. The numbers given in the shapes represent the number of persons of that particular category.How many girls are PhD students but are NOT science students?

A. 40
B. 19
C. 8
D. 11
Answer» C. 8
425.

In the following Venn diagram, the 'rhombus' stands for 'drivers', the 'square' stands for 'government employees' and the 'circle' stands for 'diabetic patients'. The given numbers represent the number of persons in that particular category. How many diabetic patients are NEITHER government employees NOR drivers?

A. 12
B. 7
C. 8
D. 30
Answer» E.
426.

According to the given Venn diagram, the number of boys who are neither athlete nor disciplined is _________.

A. 7
B. 9
C. 1
D. 11
Answer» C. 1
427.

In the diagram given below, the ‘Circle’ represents ‘Girls’, the ‘Triangle’ represents ‘Singers’ and the ‘Rectangle’ represents ‘Toppers’. The numbers given in the diagram represent the number of persons of that particular category.How many girls are toppers but are not singers?

A. 14
B. 16
C. 19
D. 28
Answer» B. 16
428.

In the given figure, how many people like cricket and tennis both?

A. 17
B. 32
C. 15
D. 27
Answer» C. 15
429.

In the given figure, which letter represents round ball?

A. B
B. E
C. C
D. D
Answer» E.
430.

In the given figure, how many male shoes are not of clothes?

A. 71
B. 39
C. 79
D. 23
Answer» C. 79
431.

In the Venn diagram shown here, the triangle represents ‘students’, the circle represents ‘diploma holders’ and the quadrilateral represents ‘graduates’. The numbers given in the diagram represents number of persons of that particularcategory.How many students are diploma holders but NOT graduates?

A. 40
B. 11
C. 30
D. 8
Answer» E.
432.

How many students like only one language?A. 65B. 70C. 75D. 85

A. D
B. C
C. B
D. A
Answer» B. C
433.

In the given Venn Diagram, 'Circle' represents 'Players', 'Triangle' represents 'Graduates' and 'Rectangle' represents 'Managers'. Which of the numbers depicts the area which represents 'Graduates Players who are not Managers'?

A. 1
B. 5
C. 7
D. 2
Answer» E.
434.

In the following figure, rectangle represents Technicians, circle represents Bakers, triangle represents Playwrights and square represents Gymnastics. Which set of letters represents Technicians who are Bakers?

A. BJ
B. DC
C. AK
D. BD
Answer» C. AK
435.

In the following figure, square represent Dancers, the triangle represents Geologists, the circle represents Architects and rectangles represents Mothers. Which set of the letters represents the Architects who are also Geologists?

A. A,B
B. E, D
C. D, H, F
D. G,C
Answer» B. E, D
436.

Given below is a diagram representing the favourite fruits of the students in a school. How many children like grapes with or without any other fruit?

A. 49
B. 35
C. 55
D. 41
Answer» D. 41
437.

In the given diagram, Circle represents strong men, the Square represents short men and Triangle represents military officers. Which region represents military officers who are short but not strong?

A. 4
B. 2
C. 3
D. 1
Answer» C. 3
438.

In the given Venn diagram, ‘Group A’ represents those who can speak ‘English’, ‘Group B’ represents those who can speak ‘Hindi’, and ‘Group C’ represents those who can speak ‘Marathi’. The numbers given in the diagram represent the number of persons in that particular category.How many persons can speak exactly two languages?

A. 21
B. 12
C. 18
D. 3
Answer» D. 3
439.

How many use product Z only?

A. 10
B. 50
C. 52
D. 25
Answer» D. 25
440.

In the following figure, rectangle represents Reporters circle represents Dancers, triangle represents Playwrights and square represents Boxers. Which set of letters represents Boxers who are Playwrights?

A. GH
B. JA
C. IB
D. BC
Answer» C. IB
441.

How many failed in two subjects only?

A. 162
B. 152
C. 100
D. 52
Answer» B. 152
442.

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

A. F, E, D
B. D, E, F, G, H, I
C. G, H, I
D. E, H
Answer» B. D, E, F, G, H, I
443.

In the following figure, the triangle represents boxers, the square represents priests, the circle represents British and the rectangle represents men. Which set of letters represents men who are either boxers or priests?

A. EFH
B. CEI
C. CEF
D. FGH
Answer» D. FGH
444.

In the following Venn diagram which region represents the coach who is also a player but not a girl?

A. U
B. T
C. R
D. S
Answer» C. R
445.

In the given figure, how many red cars are either steel or shiny but not both?

A. 39
B. 40
C. 37
D. 42
Answer» B. 40
446.

In the following figure, rectangle represents artists, triangle represents accountants, circle represents social workers and square represents fathers. Which set of letters represents social workers who are NOT fathers?

A. GAI
B. DEB
C. IGF
D. GFH
Answer» B. DEB
447.

Given below is a diagram of three circles X. Y and Z which represent musicians, singers and dancers, respectively. The circles intersect with each other and form regions- a, b, c and d. Select the region that represents musicians who are singers but not dancers.

A. Only C
B. Only D
C. a and d
D. b and d
Answer» C. a and d
448.

In the Venn diagram below, what is the sum of the numbers that represent all those athletes who are not disciplined?

A. 13
B. 16
C. 11
D. 17
Answer» C. 11
449.

In the given diagram, triangle represents the set of people who possess a car; square represents the set of people who possess a house; and circle represents the set of people who possess gold.What is the total number of people who possess a car and gold but do not have a house?

A. I + IV + VII
B. IV + III
C. IV
D. VII + IV
Answer» D. VII + IV
450.

LET_THE_STUDENTS_WHO_LIKES_TABLE_TENNIS_BE_12,THE_ONES_WHO_LIKE_LAWN_TENNIS_10,THOSE_WHO_LIKE_ONLY_TABLE_TENNIS_ARE_6,THEN_NUMBER_OF_STUDENTS_WHO_LIKES_ONLY_LAWN_TENNIS_ARE,_ASSUMING_THERE_ARE_TOTAL_OF_16_STUDENTS.?$

A. 16
B. 8
C. 4
D. 10
Answer» D. 10