Sets and Venn Diagrammes

1. Venn Diagrams were first developed by ........... Venn in the .........?

a) John , 1780s
b) John , 1880s
c) Robert , 1890s
d) Robert, 1880s

2. The Venn belonged to which country?

a) United Kingdom
b) USA
c) Italy
d) Germny

3. What is the use of Venn Diagramme?------------------------------> They are useful for illustrating the relationships between elements in a set.

a) True
b) False

4. What is a sub set?------------------------------------------------------------------> If all the elements of set A are present in set B and set B has few additional elements as well then ?

a) Set A will be sub set of set B
b) Set B will be sub set of set A

5. What is a proper subset?----------------------------------------------------------> If every element of set A is an element of set B but at least one element of set B is not an element of set A then?

a) Set A will be proper sub set of set B
b) Set B will be proper sub set of set A

6. If {1, 2} is subset of {3, 2, 1} then {1, 2} is also ---------- of {3, 2, 1}

a) Proper subset
b) Improper subset

7. What does the following Venn Diagramme indicates

a) Set A is proper sub set of set B
b) Set B is proper sub set of set A

8. What does the following Venn Diagramme indicates? ---------------> Set B is a subset of set A.

a) False
b) True

9. Pick the correct choice where A is subset of set B

a) c. A = {a, c, e, g, j }, B = { b, c, e, g, j, l, n, a }
b) e. Answers b and c are correct
c) a. A = {a, c, e, g, j }, B = { b, c, e, g, j, l, n }
d) b. A = {1, 4, 5, 9, 11}, B = { 2, 4, 6, 7, 9, 11, 13, 1 }

10. What are disjoint sets?

a) There are few common element between disjoint sets
b) There is no common element between disjoint sets

11. Pick the correct choice where set A and set B are disjoint sets?

a) c. A = {1, 4, 5, 9, 11}, B = { 2, 5, 7, 8, 10, 12, 13, }
b) d. Answers a and c are correct
c) d. A = {a, c, e, g, j }, B = { b, c, e, g, j, l, n, a }
d) a. A = {a, c, e, g, j }, B = { b, d, f, h, k, l, n, }

12. What does the following Venn Diagramme indicates?

a) A and B are disjoint sets.
b) A and B are proper sets.

13. What are overlapping sets? ---------------------------> Sets which have few common elements ie In Set A = { 1, 3, 4 } and set B = { 3, 4, 5, 6 } 3 and 4 are common.

a) False
b) True

14. Pick the correct choice where set A and set B are overlapping sets?

a) d. A = {a, c, e, g, j }, B = { b, c, e, g, j, l, n, a }
b) c. Answers d and b are correct
c) b. A = {1, 4, 5, 9, 11}, B = { 2, 4, 6, 7, 9, 11, 13, 1 }
d) c. A = {1, 4, 5, 9, 11}, B = { 2, 5, 7, 8, 10, 12, 13, }

15. What does the following Venn Diagramme indicates?

a) A and B are not overlapping sets.
b) A and B are overlapping sets.

16. What are Equal sets? ------------------------------> The sets have the same elements ie Set A = { 1, 3, 4 } and set B = { 1,3, 4 }.

a) False
b) True

17. Pick the correct choice where set A and set B are equal sets?

a) A = {1, 4, 5, 9, 11}, B = { 2, 4, 6, 7, 9, 11, 13, 1 }
b) c. A = {1, 4, 5, 9, 11}, B = { 2, 5, 7, 8, 10 }
c) A = {a, c, e, g, j }, B = { b, c, e, g, j, a }
d) c. A = {1, 4, 5, 9, 11}, B = { a, b, c, d, e }

18. What does the following Venn Diagramme indicates?

a) Set A and set B are not equal sets
b) Set A and set B are equal sets

19. What is a Universal set ?------------------------------------------------> A set which has all the elements of all the sets under consideration is called a universal set

a) False
b) True

20. If A is a set of students of class 10, B is a set of students of class 9, C is a set of students of class 8 then set consisting of all students of the school would be

a) Universal set
b) Proper set

21. What does the following Venn Diagramme indicates?

a) Both answers are correct
b) A is a subset of U
c) U indicates Universal set

22. If U is a universal set and set A is a subset of set U then U - A (U minus A) would be?

a) Complement of set A
b) Supplement of set A

23. What does the green area in the diagramme indicates?

a) Supplement of set A
b) Complement of set A

24. What is a power set? ------------------------------------------------------------------------> If A is any set then a set consisting of all the subsets of set A is call ed power set of set A.

a) False
b) True

25. How power set of set A will be indicated?

a) P (A)
b) A (P)

26. If A + {1,2} then power set of set A will be?

a) {1}, {2}
b) {o/,}, {1}, {2}

27. Set A and B are equal if A = {1, 2, 3} and B = {3, 2, 1, 1},

a) True
b) False

28. Why set A and B are equal if A = {1, 2, 3} and B = {3, 2, 1, 1},

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29. What is meant by Union?

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30. What is meant by union of sets?

a) a. One set is formed by joining two or more sets
b) b. The joint set has all elements present in two or more sets
c) c. All answers are correct
d) e. In sets elements are not repeated
e) d. In the joind set elements are not repeated

31. What will be correct union of A = {1, 3, 5 }, B = { 1, 3, 7, 9 }

a) { 1, 3 }
b) { 1, 2, 2, 3, 5, 6, 7, 1 }
c) { 1, 3, 5, 7, 9 }

32. How the union of sets A = {1, 3, 5 } and set B = { 1, 3, 7, 9 } will be indicated through Venn Diagramme

a) True ( see that circle A has 1, 3, 5 and circle B has 1, 3, 7, 9 as 1 and three are common to both the sets)
b) False

33. What is meant by the word "Intersection"?

a) All answers are correct
b) Common elements in two or more sets
c) The place or point where two things cross each other
d) If figure 3 is present in sets A and B it is intersection
e) A place where two roads or paths cross each other

34. How intersection is carried out in sets?

a) Both answers are correct
b) The figures which are common in sets are retained
c) The figures which are not common or are present only in one set are not retained in the answer

35. What will be correct intersection of A = {1, 3, 5 }, B = { 1, 3, 7, 9 }

a) {1, 3, 5 }
b) { 1, 3, 5, 7, 9 }
c) {1, 3 }

36. What will be correct Union and Intersection of A = {1, 3, 5 }, B = { 1, 3, 7, 9 }

a) Intersection = {1, 3 } and Union = { 1, 3, 5, 7, 9 }
b) Intersection = { 1, 3, 5, 7, 9 } and Union = {1, 3 }

37. How the Intersection of sets A = {1, 3, 5 } and set B = { 1, 3, 7, 9 } will be indicated through Venn Diagramme.

a) False
b) True ( See that only common numbers or common portion betweentwo sets is left out)

38. What does the following Venn Diagramme indicates? ...

a) A intersection B ( maroon, blue and fuchsia colours )
b) A unoin B ( maroon, blue and fuchsia colours )

39. What does the following Venn Diagramme indicates?

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40. What does the following Venn Diagramme indicates?

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41. What does the following Venn Diagramme indicates?

a) A union B and B union A are different
b) A union B and B union A are one and the same

42. What does the following Venn Diagramme indicates?

a) A intersection B (lime and yellow portion)
b) A union B (lime and yellow portion)

43. When A and B are disjoint sets A intersection B is equal to ______and B intersection A __________

a) Æ
b) Ø

44. When set A is a subset of set B then B intersection A is equal to

a) B ( Yellow Portion )
b) A ( Green Portion )

45. If A = [1, 3, 5] and B = [1, 3, 7, 9] then diagramme represents ?

a) A union B = {1, 3}
b) A union B = {1, 3, 5, 7, 9}

46. 2 If A = [1, 3, 5] and B = [1, 3, 7, 9] then dia gramme represents ?

a) B union A = {1, 3}
b) B union A = {1, 3, 5, 7, 9}

47. If A = [2, 3, 4, 5] and B = [2, 4, 5, 7] then dia gramme represents ?

a) A intersection B = {2, 4, 5}
b) A intersection B = {2, 4, 7}

48. 2 2 If A = [2, 3, 4, 5] and B = [2, 4, 5, 7] then dia gramme represents?

a) B intersection A = {2, 4, 5}
b) B intersection A = {3, 75}

49. When set A, B and set C are mutually overlapping sets?

a) A U (B U C)
b) (A U C) U B
c) (A U B)UC
d) All are correct

50. 2 When set A, B and set C are mutually disjoint sets, the gray shaded portion represents?

a) A U ( B U C )
b) (A U B)UC = A U (B U C) = (A U C) U B
c) * All are correct
d) ( A U B ) U C

51. When set A and B are mutually overlapping sets and C is mutually disjoint with these?

a) A U ( B U C )
b) A U C ) U B
c) ( A U C ) U B
d) *( A U B ) U C

52. When set A and C are mutually overlapping sets and B is mutually disjoint with these?

a) one is correct
b) C U ( A U B )
c) * ( A U C ) U B
d) A U ( B U C )

53. When set B and C are mutually overlapping sets and A is mutually disjoint set with these?

a) C U ( A U B )
b) A U ( B U C )
c) ( A U C ) U B

54. 2 When set A and set B are mutually disjoint sets?

a) All are correct
b) B n C = es
c) A n C = es
d) A n B = es

55. If A, B and C are any three sets maroon colour represents?

a) n ( B n C ) = es
b) * A U ( B n C )

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