MCQOPTIONS
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MCQOPTIONS
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.
| 1. |
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 | |
| 2. |
In the given figure the if n(A)=20,n(U)=50,n(C)=10 and n(A∩B)=5 then n(B)=? |
| A. | 35 |
| B. | 20 |
| C. | 30 |
| D. | 10 |
| Answer» B. 20 | |
| 3. |
If n(A)=10, n(B)=30,n(C)=50 and if set A, B, C are pairwise disjoint then which of the following is correct? |
| A. | n(A U B)=0 |
| B. | n(B U C)=0 |
| C. | n(A U B U C)=90 |
| D. | All of the mentioned |
| Answer» E. | |
| 4. |
Let A: All badminton player are good sportsperson. B: All person who plays cricket are good sportsperson.Let X denotes set of all badminton players, Y of all cricket players, Z of all good sportsperson. Then which of the following statements is correct? |
| A. | Z contains both X and Y |
| B. | Z contains X and Y is outside |
| C. | X contains Y and Z |
| D. | None of the mentioned |
| Answer» B. Z contains X and Y is outside | |
| 5. |
The relation between sets A, B, C as shown by venn diagram is __________ |
| A. | A is subset of B and B is subset of C |
| B. | C is not a subset of A and A is subset of B |
| C. | C is subset of B and B is subset of A |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 6. |
If n(A)=20 and n(B)=30 and n(A U B) = 40 then n(A ∩ B) is? |
| A. | 20 |
| B. | 30 |
| C. | 40 |
| D. | 10 |
| Answer» E. | |
| 7. |
The shaded area of figure is best described by?a) A‘ (Complement of |
| A. | A‘ (Complement of A) |
| B. | A U B -B |
| C. | A ∩ B |
| D. | B |
| Answer» C. A ∩ B | |
| 8. |
The shaded area of figure is best described by? |
| A. | A ∩ B |
| B. | A U B |
| C. | A |
| D. | B |
| Answer» B. A U B | |
| 9. |
In the given Venn diagram, the rectangle represents ‘women’, the pentagon represents ‘entrepreneurs’ and the triangle represents ‘mothers’. The numbers given in the diagram represent the number of persons in that category.How many women are entrepreneurs but NOT mothers? |
| A. | 50 |
| B. | 74 |
| C. | 46 |
| D. | 21 |
| Answer» C. 46 | |
| 10. |
How many more cars are there in the housing society than bikes? |
| A. | Both are in equal numbers |
| B. | 20 |
| C. | 15 |
| D. | 5 |
| Answer» E. | |
| 11. |
In the given figure, which Roman numeral represents the angry kings who are fat? |
| A. | V |
| B. | IV |
| C. | VI |
| D. | II |
| Answer» C. VI | |
| 12. |
A result of a survey of 1000 persons with respect to their knowledge of Hindi (H), Engl9ish (E) and Sanskrit (S) is given below:What is the ratio of those who know all the three languages to those who do not know Sanskrit? |
| A. | 1/9 |
| B. | 1/10 |
| C. | 10/17 |
| D. | 5/27 |
| Answer» E. | |
| 13. |
How many students like both Maths and English? |
| A. | 28 |
| B. | 26 |
| C. | 16 |
| D. | 12 |
| Answer» C. 16 | |
| 14. |
In the following figure, rectangle represents Cinematographers, circle represents Lyricists, triangle represents Trekkers and square represents Joggers. Which set of letters represents Trekkers who are not Joggers? |
| A. | ID |
| B. | AD |
| C. | CI |
| D. | AC |
| Answer» E. | |
| 15. |
In the following figure, rectangle represents Coppersmiths, circle represents Bankers, triangle Gamers and square represents Fathers. Which set of letters represents Coppersmiths who are neither Gamers nor Bankers. |
| A. | BAF |
| B. | CG |
| C. | CDG |
| D. | A |
| Answer» E. | |
| 16. |
In the following figure, rectangle represents Engineers, circle represents Food stylists, triangle represents Potters and square represents Joggers. Which set of letters represents Joggers who are either Engineers or Food stylists? |
| A. | DCB |
| B. | BEF |
| C. | HEF |
| D. | DEH |
| Answer» C. HEF | |
| 17. |
In the following figure, rectangle represents film directors, circle represents cartoonist, triangle represents campers and square represents cricketers. Which set of letters represents cricketers who are also cartoonists? |
| A. | IJ |
| B. | CD |
| C. | HG |
| D. | DE |
| Answer» D. DE | |
| 18. |
Find out the figure which best represents the relationship Plier, Hammer and Tool. |
| A. | A |
| B. | B |
| C. | C |
| D. | D |
| Answer» B. B | |
| 19. |
In a class of 140 students, 16 students do not participate in any of the quiz and Ashu competitions. 70 students participate in the quiz and 77 students take part in the Ashu competition. How many students participate in both the quiz and Ashu competition activities? |
| A. | 23 |
| B. | 32 |
| C. | 29 |
| D. | 20 |
| Answer» B. 32 | |
| 20. |
How many students have chosen the Science course? |
| A. | 141 |
| B. | 185 |
| C. | 113 |
| D. | 145 |
| Answer» B. 185 | |
| 21. |
In the following figure, square represents Pharmacists, triangle represents singers, circle represents Surgeons and rectangle represents Mothers. Which set of letters represents Surgeons who are either mother or singers? |
| A. | E, D, G |
| B. | A, F, C |
| C. | A, D, C |
| D. | H, B, C |
| Answer» C. A, D, C | |
| 22. |
In all how many students play V? |
| A. | 42 |
| B. | 44 |
| C. | 46 |
| D. | 40 |
| Answer» C. 46 | |
| 23. |
How many do not know any of the three languages?A. 550B. 500C. 400D. 450 |
| A. | B |
| B. | A |
| C. | C |
| D. | D |
| Answer» E. | |
| 24. |
In the following figure, rectangle represents accountants, circle represents Food stylish, triangle Tattooists and square represents Europeans. Which set of letters represents Accountants who are either Food stylish or Europeans? |
| A. | J |
| B. | KE |
| C. | HG |
| D. | GJK |
| Answer» E. | |
| 25. |
In a group of 15 people; 7 can read French, 8 can read English while 3 of them can read neither of these two languages. The number of people who can read exactly one language is |
| A. | 10 |
| B. | 9 |
| C. | 5 |
| D. | 4 |
| Answer» C. 5 | |
| 26. |
In the given figure, how many papers are also hard? |
| A. | 14 |
| B. | 23 |
| C. | 37 |
| D. | 32 |
| Answer» C. 37 | |
| 27. |
In the following diagram, the triangle represents the number of people who are the players, the circle represents the number of people who have typewriting skills, the square represents the number of people who are graduate, the pentagon represents the number of Hindi speakers. What is the number of people who are graduate with only typewriting skills? |
| A. | 12 |
| B. | 10 |
| C. | 11 |
| D. | 9 |
| Answer» C. 11 | |
| 28. |
In the following figure, square represents Runners, triangle represents Scientists, circle represents Indians, and rectangle represents Mothers. Which set of letters represents Indians who are runners? |
| A. | F, B, D, E |
| B. | A, D |
| C. | G, C, D |
| D. | B, C, G, F |
| Answer» C. G, C, D | |
| 29. |
100 students played in one or more of the three games i.e. football, cricket, and hockey. A total of 34 students played either in football only or in cricket only. 16 students played in all three games. A total of 28 students played in any of the two games only. How many students have played hockey only? |
| A. | 18 |
| B. | 20 |
| C. | 22 |
| D. | 24 |
| Answer» D. 24 | |
| 30. |
In the Venn diagram below, the 'Circle' represents 'boys'; the 'Triangle' represents 'married', and the 'Square' represents 'the persons who own pets'. Then select the area which represents boys who are married but do not own pets? |
| A. | 5 |
| B. | 6 |
| C. | 4 |
| D. | 2 |
| Answer» D. 2 | |
| 31. |
In the following figure, square represents doctors, triangle represents artists, circle represents weight – lifters and rectangle represent Russians. Which set of letters represents Russians who are not doctors? |
| A. | EF |
| B. | HB |
| C. | GE |
| D. | DG |
| Answer» E. | |
| 32. |
In the given figure, how many huts are covered and muddy? |
| A. | 28 |
| B. | 40 |
| C. | 33 |
| D. | 19 |
| Answer» E. | |
| 33. |
In the given Venn diagram, different areas denote different types of players. 'A' denotes 'tennis players', 'B' denotes 'badminton players', 'C' denotes 'hockey players' and 'D' denotes 'football players'. Which area represents the group of all types of sports players? |
| A. | C |
| B. | B |
| C. | D |
| D. | A |
| Answer» B. B | |
| 34. |
In the following figure, square represents Surgeons, triangle represents Scientists, Circle represents Swimmers and rectangle represents women. Which set of letters represents Swimmers who are not Scientists? |
| A. | B, F, G |
| B. | D, A, F |
| C. | B, C |
| D. | G, F |
| Answer» B. D, A, F | |
| 35. |
In the following diagram, the triangle represents ‘actors’. The circle represents ‘male’, the rectangle represents ‘painters’ and the square represents ‘artists’. The numbers in different segments show the number of persons. How many male actors are painters but not artists? |
| A. | 7 |
| B. | 8 |
| C. | 13 |
| D. | 15 |
| Answer» B. 8 | |
| 36. |
In the given figure, the circle represents mothers, triangle represents women, and square represents sisters. Which region represents the persons who are mothers and sisters but not women? |
| A. | S |
| B. | T |
| C. | Q |
| D. | U |
| Answer» B. T | |
| 37. |
In the diagram given below, the ‘Rectangle’ represents ‘Bank employees’. The Triangle’ represents ‘Indians’ and the ‘Square’ represents ‘Males’. The numbers given in the diagram represents the number of persons of that particular category.How many male bank employees are not Indians? |
| A. | 3 |
| B. | 5 |
| C. | 6 |
| D. | 15 |
| Answer» D. 15 | |
| 38. |
How many like neither burger nor pizza? |
| A. | 10 |
| B. | 28 |
| C. | 16 |
| D. | 14 |
| Answer» B. 28 | |
| 39. |
In the following Venn diagram, the 'Pentagon' stands for 'Architects', the 'Circle' stands for 'Morning-walkers' and the 'Square' stands for 'Diploma holders'. The given numbers represent the number of persons in that particular category. How many diploma holders are also morning-walkers but NOT architects? |
| A. | 40 |
| B. | 18 |
| C. | 21 |
| D. | 55 |
| Answer» B. 18 | |
| 40. |
How many subscribe to 'The Indian Express' only? |
| A. | 1100 |
| B. | 2000 |
| C. | 2500 |
| D. | 1800 |
| Answer» C. 2500 | |
| 41. |
In the given figure, which number represents cold drink which is black and sweet? |
| A. | 4 |
| B. | 8 |
| C. | 7 |
| D. | 6 |
| Answer» D. 6 | |
| 42. |
In the following figure, square represents engineers, triangle represents environmentalists, circle represents lawyers and rectangle represents government officers. Which set of letters represents lawyers who are not environmentalists and government officers who are engineers? |
| A. | E, F and B |
| B. | A, E and F |
| C. | B, A and E |
| D. | G, F and A |
| Answer» E. | |
| 43. |
In the given figure, how many are musical toys? |
| A. | 53 |
| B. | 61 |
| C. | 42 |
| D. | 45 |
| Answer» D. 45 | |
| 44. |
In the following figure, the square represents democrats, the triangle represents architects, the circle represents Indians and the rectangle represents father. Which letter/set of letters represents Indians who are democrats? |
| A. | E |
| B. | BF |
| C. | B |
| D. | CB |
| Answer» E. | |
| 45. |
In the following figure, rectangle represents Actors, circle represents Art critics, triangle represents Photographers and square represents Indians. Which set of letters represents Photographers who are Actors or Art critics? |
| A. | HGD |
| B. | HGF |
| C. | CEH |
| D. | BDG |
| Answer» B. HGF | |
| 46. |
How many read Indian Express and Times of India but not The Hindu? |
| A. | 10 |
| B. | 20 |
| C. | 15 |
| D. | 30 |
| Answer» D. 30 | |
| 47. |
In a coffee shop, a total of 58 customers came throughout the day. 36 of them ordered coffee and 32 of them ordered pizza. How many customers ordered both coffee and pizza? |
| A. | 14 |
| B. | 12 |
| C. | 8 |
| D. | 10 |
| Answer» E. | |
| 48. |
In the following figure, triangle represents uneducated, square represents employed, circle represents male. Which area represents uneducated employed who is not male? |
| A. | E |
| B. | G |
| C. | C |
| D. | F |
| Answer» C. C | |
| 49. |
In the figure given below, the triangle represents car owners, the rectangle represents scooter owners and the circle represents bicycle owners. Select the letter that represents people who own a car as well as a scooter but not a bicycle. |
| A. | A |
| B. | B |
| C. | C |
| D. | D |
| Answer» E. | |
| 50. |
In the given diagram, the triangle represents the set of people who possess a car; the square represents the set of people who possess a house; and the circle represents the set of people who possess gold. The total number of people who possess only one among the three, that is, house, car or gold, is: |
| A. | ll + IV + V |
| B. | l + VI + VII |
| C. | V + VII |
| D. | IV + I |
| Answer» C. V + VII | |