SETS AND RELATIONS

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1. If A = {1, 3, 5, 7} and B = {1, 2, 3, 4}, what is A - B?

A {5, 7}

B {2, 4}

C {1, 3}

D {1, 2, 3, 4, 5, 7}

2. The complement of the empty set is:

A ∅

B U

C ∅' = ∅

D Undefined

3. Which of the following is a binary relation from A = {1, 2} to B = {3, 4}?

A {(1,3), (2,4)}

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

C {(3,1), (4,2)}

D {(1,2,3)}

4. 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}

5. What is the domain of R = {(3, 9), (4, 16), (5, 25)}?

A {3, 4, 5}

B {9, 16, 25}

C {3, 9, 4, 16, 5, 25}

D {9, 16}

6. Which property states that A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)?

A Associative property

B Commutative property

C Distributive property

D Identity property

7. 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

8. Which set operation is represented by the symbol '∩'?

A Union

B Intersection

C Difference

D Complement

9. 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}

10. 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}

SETS AND RELATIONS

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