Live Education Quiz

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

A {1, 2, 3, 4, 5}

B {3}

C {1, 2, 4, 5}

D {1, 2, 3}

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

A {1}

B {4}

C {1, 4}

D {2, 3}

3. The distributive property of intersection over union is:

A A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

B A ∩ (B ∪ C) = (A ∪ B) ∩ (A ∪ C)

C (A ∩ B) ∩ C = A ∩ (B ∩ C)

D A ∩ B = B ∩ A

4. If A = {x | x is a factor of 12} and B = {x | x is a factor of 18}, what is A ∩ B?

A {1, 2, 3, 6}

B {1, 2, 4, 6, 12}

C {1, 2, 3, 6, 9, 18}

D {1, 2, 3}

5. What is the identity element for intersection of sets?

A Universal set

B Empty set

C The set itself

D No identity

6. Which of the following is a relation from set X = {1, 2} to set Y = {a, b}?

A {(1, a), (1, b)}

B {(1, 1), (2, 2)}

C {(a, 1), (b, 2)}

D {(1, 2, a)}

7. What does the shaded region in a Venn diagram of A ∩ B represent?

A Elements in A only

B Elements in B only

C Elements in both A and B

D Elements in neither A nor B

8. In a Venn diagram, if set A is completely inside set B, what does that imply?

A A ⊂ B

B B ⊂ A

C A = B

D A and B are disjoint

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

A {4, 6}

B {1, 3}

C {2}

D {1, 2, 3, 4, 6}

10. Which of the following is the range of R = {(1,5), (2,10), (3,15)}?

A {1, 2, 3}

B {5, 10, 15}

C {1, 5, 2, 10, 3, 15}

D {10, 15}

11. If A = {x | x is a prime number less than 10} and B = {x | x is an odd number less than 10}, what is A ∩ B?

A {3, 5, 7}

B {2, 3, 5, 7}

C {1, 3, 5, 7}

D {2, 4, 6, 8}

12. If R = {(x, y) | x ∈ {1, 2}, y ∈ {3, 4}} is a binary relation, which is a valid ordered pair in R?

A (1, 3)

B (3, 1)

C (1, 1)

D (3, 3)

13. In a Venn diagram, the region outside both circles but inside the rectangle represents:

A A ∪ B

B A ∩ B

C Complement of A ∪ B

D A - B

14. What is the intersection of A = {x | x is even number less than 10} and B = {x | x is multiple of 3 less than 10}?

A {2, 4, 6, 8}

B {3, 6, 9}

C {6}

D {2, 3, 4, 6, 8, 9}

15. Which of the following is the identity element for union of sets?

A Universal set

B Empty set

C The set itself

D No identity exists

16. The associative property for union of sets states that:

A A ∪ B = B ∪ A

B (A ∪ B) ∪ C = A ∪ (B ∪ C)

C A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)

D A ∪ ∅ = A

17. If A = {a, b, c} and B = {b, c, d}, what is A ∩ B?

A {a, b, c, d}

B {b, c}

C {a, d}

D {c, d}

18. If A ⊆ B, then A ∪ B equals:

A A

B B

C A ∩ B

D ∅

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

A {1, 2, 3, 4, 5, 6}

B ∅

C {1, 3, 5}

D {2, 4, 6}

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

A {1, 2, 3, 4, 5, 6}

B {3, 4}

C {1, 2}

D {5, 6}

Mth – SETS AND RELATIONS

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