## Tuesday 23 November 2021

### Set Theory Assignment -1

1.      {x: x is an integer neither positive nor negative} is ________

A).   Empty set

B).   Non-empty set

C).   Finite set

D).   Non- empty and Finite set

2.      {x: x is a real number between 1 and 2} is an ________

A).   Infinite set

B).   Finite set

C).   Empty set

D).   None of the mentioned

3.      Write set {1, 5, 15, 25,…} in set-builder form.

A).   {x: either x=1 or x=5n, where n is a real number}

B).   {x: either x=1 or x=5n, where n is a integer}

C).   {x: either x=1 or x=5n, where n is an odd natural number}

D).   {x: x=5n, where n is a natural number}

4.      Number of power set of {a, b}, where a and b are distinct elements.

A).   3

B).   4

C).   2

D).   5

5.      Which of the following is subset of set {1, 2, 3, 4}?

A).   {1, 2}

B).   {1, 2, 3}

C).   {1}

D).   All of the mentioned

6.      A = {,{},2,{2,},3}, which of the following is true?

A).   {{,{}} A

B).   {2} A

C).   A

D).   3 A

7.      Subset of the set A= { } is?

A).   A

B).   {}

C).

D).   All of the mentioned

8.      {x: x belong to N and x is prime} then it is ________

A).   Infinite set

B).   Finite set

C).   Empty set

D).   Not a set

9.      Convert set {x: x is a positive prime number which divides 72} in roster form.

A).   {2, 3, 5}

B).   {2, 3, 6}

C).   {2, 3}

D).   {}

10.   A __________ is an ordered collection of objects.

A).   Relation

B).   Function

C).   Set

D).   Proposition

11.   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}

12.   Power set of empty set has exactly _________ subset.

A).   One

B).   Two

C).   Zero

D).   Three

13.   What is the cardinality of the set of odd positive integers less than 10?

A).   10

B).   5

C).   3

D).   20

14.   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}

15.   The set of positive integers is _____________

A).   Infinite

B).   Finite

C).   Subset

D).   Empty

16.   What is the Cardinality of the Power set of the set {0, 1, 2}?

A).   8

B).   6

C).   7

D).   9

17.   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}