Question

*1. A __________ is an ordered collection of objects.* a) Relation b) Function c) Set d) Proposition 2. *The set O of odd positive integers less than 10 can be expressed by* _____________ a) {1, 2, 3} b) {1, 3, 5, 7, 9} c) {1, 2, 5, 9} d) {1, 5, 7, 9, 11} Explanation: Odd numbers less than 10 is {1, 3, 5, 7, 9}. 3. *Power set of empty set has exactly _________ subset.* a) One b) Two c) Zero d) Three 4. *What is the Cartesian product of A = {1, 2} and B = {a, b}?* a) {(1, a), (1, b), (2, a), (b, b)} b) {(1, 1), (2, 2), (a, a), (b, b)} c) {(1, a), (2, a), (1, b), (2, b)} d) {(1, 1), (a, a), (2, a), (1, b)} 5. *The Cartesian Product B x A is equal to the Cartesian product A x B.* a) True b) False 6. *What is the cardinality of the set of odd positive integers less than 10?* a) 10 b) 5 c) 3 d) 20 7. *Which of the following two sets are equal?* a) A = {1, 2} and B = {1} b) A = {1, 2} and B = {1, 2, 3} c) A = {1, 2, 3} and B = {2, 1, 3} d) A = {1, 2, 4} and B = {1, 2, 3} 8. *The set of positive integers is* _____________ a) Infinite b) Finite c) Subset d) Empty 9 *. The set of positive integers is* _____________ a) 8 b) 6 c) 7 d) 9 *10. The members of the set S = {x | x is the square of an integer and x < 100} is* ________________ a) {0, 2, 4, 5, 9, 58, 49, 56, 99, 12} b) {0, 1, 4, 9, 16, 25, 36, 49, 64, 81} c) {1, 4, 9, 16, 25, 36, 64, 81, 85, 99} d) {0, 1, 4, 9, 16, 25, 36, 49, 64, 121}​

Answer 1

Answer :-

1. c) A set

2. b) 1, 3, 5, 7, 9

3. c) Zero

4. c) {(1, a), (1, b), (2, a), (2, b)}.

5.  b) False

6. b) 5

7.  c) A = {1, 2, 3} and B = {2, 1, 3}

8.  a) Infinite

9. The set of positive integers is never rending

10. a) {0, 2, 4, 5, 9, 58, 49, 56, 99, 12}