## Wednesday 24 November 2021

### Set Theory Assignment - 2

1.     The complement of the set A is _____________

A).   A – B

B).   U – A

C).   A – U

D).   B – A

2.     The set difference of the set A with null set is __________

A).   A

B).   null

C).   U

D).   B

3.     The difference of {1, 2, 3} and {1, 2, 5} is the set ____________

A).   {1}

B).   {5}

C).   {3}

D).   {2}

4.     Two sets are called disjoint if there _____________ is the empty set.

A).   Union

B).   Difference

C).   Intersection

D).   Complement

5.     Which of the following two sets are disjoint?

A).   {1, 3, 5} and {1, 3, 6}

B).   {1, 2, 3} and {1, 2, 3}

C).   {1, 3, 5} and {2, 3, 4}

D).   {1, 3, 5} and {2, 4, 6}

6.     Two sets are called disjoint if there _____________ is the empty set.

A).   Union

B).   Difference

C).   Intersection

D).   Complement

7.     The union of the sets {1, 2, 5} and {1, 2, 6} is the set _______________

A).   {1, 2, 6, 1}

B).   {1, 2, 5, 6}

C).   {1, 2, 1, 2}

D).   {1, 5, 6, 3}

8.     The intersection of the sets {1, 2, 5} and {1, 2, 6} is the set _____________

A).   {1, 2}

B).   {5, 6}

C).   {2, 5}

D).   {1, 6}

9.     In which of the following sets A – B is equal to B – A?

A).   A = {1, 2, 3}, B = {2, 3, 4}

B).   A = {1, 2, 3}, B = {1, 2, 3, 4}

C).   A = {1, 2, 3}, B = {2, 3, 1}

D).   A = {1, 2, 3, 4, 5, 6}, B = {2, 3, 4, 5, 1}

10.  If A has 4 elements B has 8 elements then the minimum and maximum number of elements in A U B are ____________

A).   4, 8

B).   8, 12

C).   4, 12

D).   None of the mentioned

11.  If A is {{Φ}, {Φ, {Φ}}}, then the power set of A has how many element?

A).   2

B).   4

C).   6

D).   8

12.  Let the set A is {1, 2, 3} and B is {2, 3, 4}. Then the number of elements in A U B is?

A).   4

B).   5

C).   6

D).   7

13.  Let the set A is {1, 2, 3} and B is { 2, 3, 4}. Then number of elements in A ∩ B is?

A).   1

B).   2

C).   3

D).   4

14.  Let the set A is {1, 2, 3} and B is {2, 3, 4}. Then the set A – B is?

A).   {1, -4}

B).   {1, 2, 3}

C).   {1}

D).   {2, 3}

15.  Let A be set of all prime numbers, B be the set of all even prime numbers, C be the set of all odd prime numbers, then which of the following is true?

A).   A ≡ B U C

B).   B is a singleton set.

C).   A ≡ C U {2}

D).   All of the mentioned

16.  Two sets A and B contains a and b elements respectively. If power set of A contains 16 more elements than that of B, value of ‘b’ and ‘a’ are _______

A).   4, 5

B).   6, 7

C).   2, 3

D).   None of the mentioned

17.  Let A be {1, 2, 3, 4}, U be set of all natural numbers, then U-A’(complement of A) is given by set.

A).   {1, 2, 3, 4, 5, 6, ….}

B).   {5, 6, 7, 8, 9, ……}

C).   {1, 2, 3, 4}

D).   All of the mentioned

18.  Which sets are not empty?

A).   {x: x is a even prime greater than 3}

B).   {x : x is a multiple of 2 and is odd}

C).   {x: x is an even number and x+3 is even}

D).   { x: x is a prime number less than 5 and is odd}

19.     If n(A)=20 and n(B)=30 and n(A U B) = 40 then n(A ∩ B) is?

A).   20

B).   30

C).   40

D).   10

20.     Let A: All badminton player are good sportsperson.

B: All person who plays cricket are good sportsperson.

Let X denotes set of all badminton players, Y of all cricket players, Z of all good sportsperson. Then which of the following statements is correct?

A).   Z contains both X and Y

B).   Z contains X and Y is outside

C).   X contains Y and Z

D).   None of the mentioned

21.     If n(A)=10, n(B)=30,n(C)=50 and if set A, B, C are pairwise disjoint then which of the following is correct?

A).   n(A U B)=0

B).   n(B U C)=0

C).   n(A U B U C)=90

D).   All of the mentioned

22.     if n(A)=20,n(U)=50,n(C)=10 and n(A∩B)=5 then n(B)=?

A).   35

B).   20

C).   30

D).   10

23.     Let the students who likes table tennis be 12, the ones who like lawn tennis 10, those who like only table tennis are 6, then number of students who likes only lawn tennis are, assuming there are total of 16 students.

A).   16

B).   8

C).   4

D).   10