SET THEORY: BASIC TO ADVANCED QUIZ 1

FROM SET NOTATION TO COMPLEX OPERATIONS, CHALLENGE YOURSELF WITH A VARIETY OF CAREFULLY CRAFTED QUESTIONS.

PERFECT FOR STUDENTS, EDUCATORS AND ANYONE LOOKING TO STRENGTHEN THEIR MATH SKILLS.

START NOW AND SEE HOW WELL YOU REALLY KNOW YOUR SETS!

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SET THEORY

SET THEORY: BASIC TO ADVANCED QUIZ 1

TEST YOUR UNDERSTANDING OF SET THEORY WITH THIS COMPREHENSIVE QUIZ COVERING BOTH BASIC AND ADVANCED CONCEPTS.

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Category: SET THEORY

1. DEFINE A UNIVERSAL SET.

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Category: SET THEORY

2. the number of subsets of a set with 4 elements is:

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Category: SET THEORY

3. WHAT IS THE POWER SET OF A SINGLETON SET {0}?

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Category: SET THEORY

4. IS THE EMPTY SET A SUBSET OF ALL SETS?

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Category: SET THEORY

5. A SURVEY SHOWS:

  • 70 USE YOUTUBE
  • 50 USE INSTAGRAM
  • 30 USE BOTH
    HOW MANY USE AT LEAST ONE OF THEM?

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Category: SET THEORY

6. IN A SURVEY, 60 PEOPLE LIKE TEA, 40 LIKE COFFEE AND 20 LIKE BOTH. HOW MANY LIKE ONLY TEA OR ONLY COFFEE?

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Category: SET THEORY

7. A SURVEY SHOWS:

  • 70 LIKE TENNIS
  • 50 LIKE FOOTBALL
  • 30 LIKE BOTH
    FIND HOW MANY LIKE ONLY TENNIS.

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Category: SET THEORY

8. The statement:
"If AтКВB then A=B"

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Category: SET THEORY

9. IF A={1,2},B={A,B}, HOW MANY ELEMENTS IN A├ЧB?

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Category: SET THEORY

10. THE NUMBER OF ELEMENTS IN THE POWER SET OF A SET WITH 3 ELEMENTS IS _____.

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Category: SET THEORY

11. A SURVEY SAYS:

  • 100 STUDENTS
  • 80 LIKE MOVIES
  • 60 LIKE MUSIC
  • 50 LIKE BOTH
    HOW MANY LIKE NEITHER?

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Category: SET THEORY

12. IN A SCHOOL:

  • 70 TAKE FRENCH
  • 50 TAKE GERMAN
  • 30 TAKE BOTH
    HOW MANY TAKE ONLY ONE LANGUAGE?

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Category: SET THEORY

13. if a={x:x┬аis┬аa┬аvowel┬аin┬аthe┬аword┬атАШeducationтАЩ}, then what is a?

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Category: SET THEORY

14. In a class:

  • 45 students like math
  • 30 like science
  • 20 like both
    how many students like only one subject?

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Category: SET THEORY

15. In a group of 100 people:

  • 72 like coffee
  • 48 like tea
  • 30 like both
    how many like neither?

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Category: SET THEORY

16. IN A COLLEGE, 70 STUDENTS PLAY FOOTBALL, 60 PLAY BASKETBALL, 50 PLAY VOLLEYBALL. 30 PLAY BOTH FOOTBALL AND BASKETBALL, 20 PLAY BOTH BASKETBALL AND VOLLEYBALL, 25 PLAY BOTH FOOTBALL AND VOLLEYBALL. 10 PLAY ALL THREE. HOW MANY STUDENTS PLAY AT LEAST ONE SPORT?

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Category: SET THEORY

17. IN A CLASS OF 40:

  • 28 LIKE ENGLISH
  • 22 LIKE MATH
  • 14 LIKE BOTH
    HOW MANY LIKE ONLY ONE OF THE SUBJECTS?

The number of elements in the power set of a set with nn elements is given by:

2n

So, if a set has 10 elements, its power set will have:

210=1024

1024 elements

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Category: SET THEORY

18. HOW MANY ELEMENTS ARE THERE IN THE POWER SET OF A SET WITH 10 ELEMENTS?

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Category: SET THEORY

19. WHAT IS THE KEY DIFFERENCE BETWEEN A NULL SET AND A SINGLETON SET?

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Category: SET THEORY

20. IN A GROUP OF 100 STUDENTS, 80 LIKE MATHEMATICS, 70 LIKE PHYSICS AND 60 LIKE BOTH. HOW MANY LIKE ONLY MATHEMATICS OR ONLY PHYSICS?

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Category: SET THEORY

21. EVERY SET IS A SUBSET OF ITSELF.

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Category: SET THEORY

22. IN A UNIVERSITY, 40% OF STUDENTS TAKE MATH, 30% TAKE BIOLOGY, AND 10% TAKE BOTH. WHAT % TAKE EITHER MATH OR BIOLOGY?

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Category: SET THEORY

23. If a={1,3,5}, b={2,4,6}, then aтИйb= ?

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Category: SET THEORY

24. HOW MANY SUBSETS DOES {0,1,2} HAVE?

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Category: SET THEORY

25. let u={1,2,3,...,10}, a={2,4,6,8}, b={1,2,3,4}. Find (aтИкb)тА▓.

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Category: SET THEORY

26.

WHICH OF THE FOLLOWING IS A SUBSET OF EVERY SET?

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Category: SET THEORY

27. IN A CLASS OF 50:

  • 20 PLAY CHESS
  • 30 PLAY CARROM
  • 10 PLAY BOTH
    FIND THE NUMBER WHO PLAY ONLY ONE GAME.

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Category: SET THEORY

28. EVERY SET IS A SUBSET OF ITSELF.

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Category: SET THEORY

29. HOW MANY PROPER SUBSETS DOES A={1,2,3,4} HAVE?

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Category: SET THEORY

30. IF A HAS 4 ELEMENTS, HOW MANY SUBSETS INCLUDE EXACTLY 2 ELEMENTS?

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Category: SET THEORY

31. IN A CLASS OF 50 STUDENTS:

  • 30 PLAY FOOTBALL
  • 25 PLAY CRICKET
  • 10 PLAY BOTH
    HOW MANY PLAY NEITHER?

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Category: SET THEORY

32. In a school:

  • 80 like apples
  • 50 like bananas
  • 30 like both
    how many like only apples?

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Category: SET THEORY

33. If A has 3 elements and B has 2, how many elements in A├ЧB?

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Category: SET THEORY

34. IN A CLASS OF 30 STUDENTS, 18 STUDY MATH, 12 STUDY SCIENCE AND 5 STUDY BOTH. HOW MANY STUDY EITHER MATH OR SCIENCE?

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Category: SET THEORY

35. IN A GROUP OF 100 PEOPLE:

  • 65 LIKE TEA
  • 45 LIKE COFFEE
  • 20 LIKE BOTH
    HOW MANY LIKE ONLY TEA?

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Category: SET THEORY

36. IN A CLASS OF 40 STUDENTS:

  • 28 LIKE MATH
  • 20 LIKE SCIENCE

8 LIKE BOTH
FIND HOW MANY LIKE NEITHER

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Category: SET THEORY

37. A SURVEY FOUND 45 PEOPLE LIKE CRICKET, 25 LIKE FOOTBALL, AND 10 LIKE BOTH. HOW MANY LIKE ONLY CRICKET OR ONLY FOOTBALL?

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Category: SET THEORY

38. let a={1,2,3}, b={2,3,4,5} and c={3,4,5,6}. Find (aтИйb)тИк(bтИйc).

 

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Category: SET THEORY

39. A SURVEY SHOWS:

  • 100 PEOPLE
  • 60 LIKE APPLES
  • 45 LIKE ORANGES
  • 25 LIKE BOTH
    HOW MANY LIKE NEITHER?

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Category: SET THEORY

40. In a survey of 120 people:

80 like chocolate

50 like vanilla

30 like both
how many like neither?

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Category: SET THEORY

41. if a = {1, 2, 3, 4}, how many non-empty subsets are there?

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Category: SET THEORY

42. How many subsets does a 5-element set have?

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Category: SET THEORY

43. IN A GROUP OF 80 PEOPLE:

  • 50 LIKE TEA
  • 40 LIKE COFFEE
  • 20 LIKE BOTH
    HOW MANY LIKE ONLY TEA OR ONLY COFFEE?

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Category: SET THEORY

44. THE POWER SET OF AN EMPTY SET CONTAINS ONE ELEMENT.

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Category: SET THEORY

45. A CLASS OF 60 STUDENTS WAS SURVEYED:

  • 25 LIKE MATHS
  • 30 LIKE SCIENCE
  • 10 LIKE BOTH
    HOW MANY LIKE NEITHER?

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Category: SET THEORY

46. IN A GROUP OF 100 PEOPLE, 45 SPEAK ENGLISH, 60 SPEAK HINDI, AND 25 SPEAK BOTH. HOW MANY SPEAK NEITHER LANGUAGE?

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Category: SET THEORY

47. In a group:

  • 60 like cricket
  • 40 like hockey
  • 25 like both
    how many like only one game?

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Category: SET THEORY

48. WHAT IS THE NUMBER OF SUBSETS OF A 6-ELEMENT SET THAT CONTAIN EXACTLY 3 ELEMENTS?

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Category: SET THEORY

49. WHAT IS THE CARDINALITY OF THE POWER SET OF A SINGLETON SET?

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Category: SET THEORY

50. A CLASS OF 60 STUDENTS WAS SURVEYED:

  • 25 LIKE MATHS
  • 30 LIKE SCIENCE
  • 10 LIKE BOTH
    HOW MANY LIKE NEITHER?

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Category: SET THEORY

51. If 20 students take french, 15 take spanish and 10 take both, how many take at least one?

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Category: SET THEORY

52. HOW MANY PROPER SUBSETS DOES A SET WITH 5 ELEMENTS HAVE?

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Category: SET THEORY

53. THERE ARE 100 STUDENTS. 75 LIKE CHOCOLATE, 50 LIKE VANILLA AND 30 LIKE BOTH. HOW MANY LIKE ONLY ONE FLAVOR?

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Category: SET THEORY

54. IN A GROUP OF 50 STUDENTS:

  • 30 PLAY CRICKET
  • 25 PLAY FOOTBALL
  • 10 PLAY BOTH
    HOW MANY PLAY NEITHER?

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Category: SET THEORY

55. A CLASS OF 60 STUDENTS WAS SURVEYED:

  • 25 LIKE MATHS
  • 30 LIKE SCIENCE
  • 10 LIKE BOTH
    HOW MANY LIKE NEITHER?

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Category: SET THEORY

56. if a = {1, 2}, how many elements in a ├Ч a ├Ч a?

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Category: SET THEORY

57. if a = {1,2,3}, b = {2,3,4}, find a тИй (a тИк b)

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