EduSahara™ Worksheet

Question 1

1.

If μ = {-1,7,1,9,5,8,-5,0,-8,-2,-6}, A = {-1,7,1} and B = {-1,9,5,1,7,8}, find (A ∩ B)'

(i)

{-2,-8,8,-5,9,-6,5,0}
(ii)

{}
(iii)

{8,-2,-5,0,9,5,-6}
(iv)

{0,-6,-5,-2,8,5,-8}

Question 2

2.

Which of the following is a subset of set A = {4,5,-4,-7,6}?

(i)

{∅}
(ii)

{4,6,5,-4,-1}
(iii)

{-2,5,-4,6,-7,4}
(iv)

∅
(v)

μ

Question 3

3.

If A = {10,14,11,3} , B = {8,5,14} and C = {1,4,11} , then C ∪ (A ∪ B) =

(i)

{10,5,1,14,8,11,4}
(ii)

{10,20,4,3,14,5,1,11,8}
(iii)

{11,10,1,3,8,5,4,14}
(iv)

{3,4,1,14,11,10,5}
(v)

{8,5,14,11,10,3,1}

Question 4

4.

Which of the following is 'subset' symbol?

(i)

∩
(ii)

∪
(iii)

⊃
(iv)

⊄
(v)

⊂

Question 5

5.

Which of the following is superset of A = {0,6,2,7}?

(i)

{8,6,7,2}
(ii)

{6,7,2,0,4}
(iii)

{2,6,0}
(iv)

{6,2,7,5}
(v)

{7,6}

Question 6

6.

If A = {1,14,15,7,11} and B = {0,11,7,3,5} , then A ∪ B =

(i)

{7,15,1,3,0,14,5}
(ii)

{11,1,3,19,7,0,5,15}
(iii)

{1,7,15,14,11,0,3}
(iv)

{1,0,7,5,14,3,11,15,16}
(v)

{0,15,14,7,11,3,5,1}

Question 7

7.

Which of the following is an infinite set?

(i)

{0,1,2,...}
(ii)

{5}
(iii)

{-4,7,-5}
(iv)

{}
(v)

{1,-6}

Question 8

8.

If A = {3,1,6,4,12,9} , B = {11,10,4,13,1,7} and C = {4,8,5,0,6,14}, then B ∩ (C ∩ A) =

(i)

{16,4}
(ii)

{4,13}
(iii)

{4}
(iv)

{14,4}
(v)

{3,4}

Question 9

9.

If A = {2,0,6,4} and B = {2,3,9,10} , then A ∪ B =

(i)

{2,0,6,9,3,10,4}
(ii)

{10,12,3,0,9,2,4,6}
(iii)

{2,4,6,3,0,10,15}
(iv)

{10,6,3,9,0,4}
(v)

{0,10,4,2,6,9}

Question 10

10.

If μ = {3,-9,-7,-4,-1,0,8,-5,-6,4,-3,5,2,1,9}, A = {3,-9,-7,-4,-1,0} and B = {8,-5,-6,4,-3}, find n((A ∩ B)')

(i)

14
(ii)

16
(iii)

18
(iv)

12
(v)

15

Question 11

11.

If A = {9,8,6,10,5} and B = {2,0,9,10,6} , then B ∩ A =

(i)

{9,6,10,8,5}
(ii)

{9,6,10,11}
(iii)

{10,6,9}
(iv)

{0,9,6,10}
(v)

{6,9,8,10}

Question 12

12.

If μ = {-4,3,-1,-6,-9,0,8,6,4,5,-5,-7,7,1}, A = {-4,3,-1,-6} and B = {3,-6,-9,0,8,6,4}, find n(B)

(i)

7
(ii)

10
(iii)

8
(iv)

6
(v)

4

Question 13

13.

If A = {13,0,11,8,5,10,2} and B = {7,6,4,12,13,14,10} , then A ∩ B =

(i)

{12,13,10}
(ii)

{7,10,13,0}
(iii)

{13,10,0}
(iv)

{10,13}
(v)

{17,13,10}

Question 14

14.

If A = {6,-9,5,7,-4,2,8} and μ = {6,-9,5,7,-4,2,8,-5,-8,-1,-2}, find A ∩ A

(i)

{-9,-4,7,2,6,5,8}
(ii)

{5,-4,-9,8,6,7}
(iii)

{2,-4,8,7,0,-9,6,1,5}
(iv)

{6,-4,8,-9,9,5,2}
(v)

{-4,8,6,7,-5,4,5}

Question 15

15.

If μ = {8,-4,3,-6,-2,6,-7,-8,4,-5,0,5,7,2}, A = {8,-4,3,-6,-2,6} and B = {3,-7,-8,4}, find A

(i)

{3,0,-2,-4,-6,6}
(ii)

{-6,-4,-2,8,3}
(iii)

{8,6,-2,-6,-4}
(iv)

{-4,3,8,2,-6,6,-2}
(v)

{-4,-6,-2,6,3,8}

Question 16

16.

Which of the following is 'belongs to' symbol?

(i)

↔
(ii)

⊃
(iii)

∈
(iv)

⊂
(v)

⊄

Question 17

17.

If A = {12,6,0,7} , B = {8,0,1} and C = {1,14,4} , then A ∪ (B ∪ C) =

(i)

{0,4,14,8,1,6,12}
(ii)

{14,7,1,6,8,0,12}
(iii)

{1,4,0,14,7,6,12}
(iv)

{7,1,6,0,19,8,12,4,14}
(v)

{6,7,12,14,8,1,4,0}

Question 18

18.

If μ = {-5,-8,1,4,-3,-6,6,5,-4,-2,0,3,-7,2}, A = {-5,-8,1,4} and B = {-3,-6,6,5,-5,-8,-4}, find A' ∩ B'

(i)

{3,-7,-2,2,0}
(ii)

{0,3,2,-2}
(iii)

{}

Question 19

19.

Which of the following symbols represent the set of Irrational numbers ?

(i)

Q
(ii)

R
(iii)

N
(iv)

Q'
(v)

W

Question 20

20.

Which of the following sets are not equivalent to set {10,8}?

a)	{7}
b)	{9,5}
c)	{1,8}
d)	{8,7}
e)	{4,7,1}

(i)

{b,a}
(ii)

{c,e}
(iii)

{c,e,a}
(iv)

{a,e}
(v)

{d,b,a}

Question 21

21.

If μ = {-5,-9,6,0,8,-4,4,7,-1,-7,2,-2,9}, A = {-5,-9,6,0,8} and B = {-4,6,4,7,-1}, find A' ∪ B'

(i)

{0,8,2,-1,-9,-5,-7,7,-4,4,9,-2}
(ii)

{-5,-9,-7,7,0,8,-4,-2,9,4,-1}
(iii)

{-7,-1,9,7,-5,8,-9,2,-4,0,-2}
(iv)

{}
(v)

{-7,2,7,-1,-9,-2,9,-4,4,-5,0}

Question 22

22.

If μ = {3,-4,-8,-5,4,2,9,-2,-7}, A = {3,-4,-8} and B = {-5,-8,4,2}, find n(( (A − B) ∪ (B − A) )')

(i)

1
(ii)

3
(iii)

7
(iv)

5
(v)

4

Question 23

23.

If A = {6,3,1,14,10,5,0} , B = {2,12,5,6,14,10,15} and C = {12,8,9,3,11,13,7}, then B ∩ (C ∩ A) =

(i)

{16}
(ii)

{2}
(iii)

{}
(iv)

{7}
(v)

{1}

Question 24

24.

If A = {9,7,0,15,11,8,12,10} , B = {5,14,3,7,0,13,4,2} and C = {8,7,14,11,4,0,6}, then C ∩ (A ∩ B) =

(i)

{6,0,7}
(ii)

{0,7,13}
(iii)

{7,0}
(iv)

{7,12,0}
(v)

{18,7,0}

Question 25

25.

If μ = {7,-7,-6,-9,-2,0,-4,-5,-3,-8,3,2,-1,9}, A = {7,-7,-6,-9,-2,0} and B = {-4,-5,-3,-8}, find n((A − B)')

(i)

7
(ii)

6
(iii)

8
(iv)

11
(v)

9

Assignment Key