Introduction to Sets & Venn Diagrams Quiz - ICSE Class 6 Mathematics

Free practice quiz: Introduction to Sets & Venn Diagrams (ICSE Class 6 Mathematics). 59 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This ICSE Class 6 Mathematics practice quiz has 59 multiple-choice questions on Introduction to Sets & Venn Diagrams, and 59 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. Which of the following is a well-defined set?

   1. The set of all good students in your class.
   2. The set of all beautiful flowers in the garden.
   3. The set of all prime numbers less than 100.
   4. The set of all tasty fruits.
   Show answer

   Answer: C. The set of all prime numbers less than 100.

   A set is well-defined if its elements can be clearly identified. The set of good students, beautiful flowers, or tasty fruits are subjective and not well-defined. The set of prime numbers less than 100 has specific, identifiable elements.

2. If A = {1, 3, 5} and B = {2, 4, 6}, what is A ∩ B?

   1. {1, 2, 3, 4, 5, 6}
   2. {1, 3, 5}
   3. {2, 4, 6}
   4. The empty set ({})
   Show answer

   Answer: D. The empty set ({})

   The intersection of two sets contains elements that are common to both sets. Since A and B have no elements in common, their intersection is the empty set.

3. In a class of 30 students, 15 students like apples, and 20 students like bananas. If 10 students like both apples and bananas, how many students like only apples?

   1. 5
   2. 10
   3. 15
   4. 20
   Show answer

   Answer: A. 5

   Total students who like apples = 15. Students who like both = 10. Therefore, students who like only apples = (Total liking apples) - (Students liking both) = 15 - 10 = 5.

4. If set X = {prime numbers between 20 and 30}, what is the cardinality of X?

   1. 2
   2. 3
   3. 4
   4. 5
   Show answer

   Answer: A. 2

   The prime numbers between 20 and 30 are 23 and 29. There are 2 such numbers. The cardinality of X is 2.

5. If set A = {all numbers divisible by 2} and set B = {all numbers divisible by 3}, what is A ∩ B?

   1. Set of all odd numbers
   2. Set of all even numbers
   3. Set of all multiples of 6
   4. Set of all multiples of 5
   Show answer

   Answer: C. Set of all multiples of 6

   The intersection of numbers divisible by 2 and numbers divisible by 3 is the set of numbers that are divisible by both 2 and 3. Such numbers are multiples of the least common multiple of 2 and 3, which is 6.

More questions in this quiz

Answers and explanations are in the full quiz.

1. If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is A union B (A ∪ B)?
2. If P = {a, b, c} and Q = {c, d, e}, what is P intersection Q (P ∩ Q)?
3. Which of the following is an empty set?
4. If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {2, 4, 6, 8}, what is the complement of A (A')?
5. In a Venn diagram, the universal set is represented by:
6. If set X = {apple, banana, cherry} and set Y = {banana, date, fig}, what is X \ Y (X minus Y)?
7. Which notation correctly represents 'element x belongs to set A'?
8. If set M has 5 elements and set N has 3 elements, what is the maximum possible number of elements in M ∪ N?
9. If set S = {vowels in the English alphabet}, how many elements are in set S?
10. Consider the set of colors in a rainbow: {red, orange, yellow, green, blue, indigo, violet}. How many elements are in this set?
11. Which of the following is a set of odd numbers?
12. If set C = {x | x is a natural number and 5 < x < 10}, what are the elements of set C?
13. Which of the following represents a finite set?
14. If A = {1, 2, 3} and B = {1, 2, 3, 4, 5}, which of the following is true?
15. If R = {a, e, i, o, u} and S = {a, b, c, d, e}, what is R ∪ S?
16. What does the shaded region in the Venn diagram below represent? (Assume two overlapping circles, A and B, inside a rectangle U. The shaded region is the part of A that does not overlap with B.)
17. If the number of elements in set X is denoted by |X|, and X = {1, 2, 3, 4}, what is |X|?
18. Which of the following is a finite set?
19. If A = {prime numbers between 10 and 20} and B = {even numbers between 10 and 20}, what is A ∩ B?
20. If U = {all letters of the English alphabet} and V = {a, e, i, o, u}, what is V' (complement of V)?
21. If set P = {x | x is an integer and -2 < x < 3}, what is the number of elements in P?
22. If A = {multiples of 3 less than 15} and B = {multiples of 4 less than 15}, what is A ∪ B?
23. Which set is equivalent to {2, 4, 6, 8}?
24. What is the cardinality of the set of prime numbers less than 10?
25. If A = {apple, banana, cherry} and B = {banana, date, fig}, what is the number of elements in A ∩ B?
26. If set X has 7 elements and set Y has 5 elements, and X ∩ Y has 2 elements, how many elements are in X ∪ Y?
27. Which of the following represents a singleton set?
28. If U = {integers from 1 to 10} and C = {odd numbers from 1 to 10}, what is C'?
29. If set P = {x | x is a letter in the word 'MATH'} and set Q = {x | x is a letter in the word 'TEAM'}, what is P ∩ Q?
30. In a Venn diagram, if circle A is entirely inside circle B, then A is called:
31. Which of the following is NOT a set?
32. If A = {1, 2, 3} and B = {3, 4, 5}, what is |A ∪ B|?
33. If U = {all digits} and D = {0, 1, 2, 3, 4}, what is D'?
34. Which notation represents 'the set of all elements in A or B or both'?
35. If A = {red, blue, green} and B = {blue, yellow, orange}, what is A \ B?
36. If set X = {x | x is a factor of 12} and set Y = {x | x is a factor of 18}, what is X ∩ Y?
37. A set containing exactly one element is called:
38. If A = {2, 3, 5, 7} and B = {1, 2, 3, 4, 5, 6}, what is A ∪ B?
39. If the number of elements in set X is 10 and the number of elements in set Y is 12, and the number of elements in X ∪ Y is 15, how many elements are in X ∩ Y?
40. Which of the following is a proper subset of {a, b, c, d}?
41. If set A = {x | x is a day of the week} and set B = {Monday, Tuesday, Wednesday, Thursday, Friday}, which of the following is true?
42. Which symbol represents 'is not an element of'?
43. If A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7}, what is A Δ B (symmetric difference)?
44. How many elements are there in the set {x | x is a prime number, x > 10, and x < 15}?
45. If A = {1, 2, 3} and B = {1, 2, 3}, which statement is correct?
46. Consider two disjoint sets A and B. Which of the following is true?
47. In a class, 25 students play cricket, and 20 students play football. If 10 students play both games, how many students play at least one of the games?
48. If set A = {1, 2, 3} and set B = {4, 5, 6}, what is A ∪ B?
49. Which set is equivalent to {10, 20, 30, 40}?
50. If A = {a, b, c} and B = {b, c, d}, what is B \ A?
51. Which of the following represents a set of consecutive integers?
52. If the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {2, 4, 6}, what is A' ∪ A?
53. If A = {students in your class who play chess} and B = {students in your class who play carrom}, which region in a Venn diagram represents students who play NEITHER chess nor carrom?
54. If set M = {x | x is an odd number and 1 ≤ x ≤ 10}, what is the cardinality of M?

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