EduSahara™ Worksheet

Question 1

1.

If μ = {6,12,4,7,-6,-4,10,-5,1,11,-1,15,0,-3,5,-2,14,3,-8,2,-9,-7,8},A = {6,12,4,7,-6,-4}, B = {10,-5,12,4,1,11,-1,15,0}, C = {-3,-6,12,6,5,10,-2,0,4}, find A'

(i)

{3,-5,2,15,-1,10,-7,8,0,-9,14,11,-8,-2,-3,5,1,4}
(ii)

{3,-5,2,-1,10,-7,8,0,-9,14,11,-8,-2,-3,5,1,4}
(iii)

{3,-5,2,-1,10,-7,8,0,-9,14,11,-8,-2,-3,5,1}
(iv)

{3,-5,2,15,-1,10,-7,8,0,-9,14,11,-8,-2,-3,5,1}
(v)

{3,-5,2,15,-1,10,-7,8,-9,14,11,-8,-2,-3,5,1}

Question 2

2.

Which of the following are true?

a)	A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)
b)	A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)
c)	A ∩ (B ∪ C) = (A ∪ B) ∩ (A ∪ C)
d)	A ∪ (B ∩ C) = (A ∩ B) ∪ (A ∩ C)
e)	(A ∩ B) ∩ C = A ∩ (B ∩ C)
f)	(A ∪ B) ∪ C = A ∪ (B ∪ C)

(i)

{d,b}
(ii)

{c,a}
(iii)

{c,f,a}
(iv)

{a,b,e,f}
(v)

{c,d,e}

Question 3

3.

Which of the following is the power set of A =
{2}
?

(i)

{
{}
}
(ii)

{
{}

{2}

{5,9}
}
(iii)

{ }
(iv)

{2,5}
(v)

{
{}

{2}
}

Question 4

4.

If A = {3,9,5,1,2} and B = {9,10,4,0,3} , then A ∩ B =

(i)

{2,1,9,3}
(ii)

{3,9}
(iii)

{5,3,9}
(iv)

{3,0,9}
(v)

{9,3,13}

Question 5

5.

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

(i)

{6,-8,4,-6,-5,11,0}
(ii)

{7,-8,-6,-1,4,-3,0,5,6}
(iii)

{-1,-6,-3,4,7,6,-8}
(iv)

{7,4,6,-6,-3,-1}
(v)

{11,-1,4,-3,7,-6,-8}

Question 6

6.

If A = {7,0,6} and B = {2,8,10} , then B ∩ A =

(i)

{10}
(ii)

{7,6}
(iii)

{}
(iv)

{7}
(v)

{14}

Question 7

7.

If μ = {3,-6,-7,-1,4,2,6,7,9,13,-2,8,-3,11,10,-8,1,-4,-9,-5,5},A = {3,-6,-7,-1,4,2}, B = {-6,6,7,-7,9,3}, C = {4,13,-1,6,-2,8,9,2,7,-3}, find C ∩ (A ∪ B)

(i)

{7,6,2,4,-1}
(ii)

{7,6,9,2,4,-1}
(iii)

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

{7,6,9,2,4}
(v)

{7,6,9,2,4,1}

Question 8

8.

If μ = {7,12,-4,13,8,4,-3,11,10,14,-6,-7,1,9,5,2,-2,-5,3,-8,-1,-9},A = {7,12,-4,13,8,4,-3,11,10,14}, B = {-6,4,-7,-4,12,7}, C = {1,-7,-4,7,14,-3,9}, find A − (B ∩ C)

(i)

{-3,10,14,4,11,8,12,-1}
(ii)

{-3,10,14,13,4,11,8,12}
(iii)

{-3,10,14,4,11,8,12}
(iv)

{-3,10,14,13,4,11,8,12,-1}
(v)

{10,14,13,4,11,8,12}

Question 9

9.

Which of the following is 'universal set' symbol?

(i)

μ
(ii)

⊅
(iii)

∪
(iv)

∩
(v)

↔

Question 10

10.

Which of the following is a null set?

(i)

{5,7,-8,-6}
(ii)

{1,-6,5}
(iii)

{-2,-5}
(iv)

{}
(v)

{3,-7,-6,6,-9}

Question 11

11.

Which of the following is a null set?

(i)

{∅}
(ii)

{o}
(iii)

{0}
(iv)

{empty}
(v)

∅

Question 12

12.

If μ = {10,-1,0,-4,-2,-6,8,-9,7,4,15,-3,6,-5,1,9,11,16,17,12,13,14},A = {10,-1,0,-4,-2,-6,8,-9,7}, B = {4,-1,15,-3,6,-5,1,-2,9}, C = {6,8,11,-2,-9,-6,9,-4}, find (B ∪ C) ∩ (B ∪ A)

(i)

{1,4,-9,-3,9,-4,-5,15,8,-6,-1,6,10}
(ii)

{4,-9,-3,-2,9,-4,-5,15,8,-6,-1,6}
(iii)

{1,4,-9,-3,-2,9,-4,-5,15,8,-6,-1,6,10}
(iv)

{1,4,-9,-3,-2,9,-4,-5,15,8,-6,-1,6}
(v)

{1,4,-9,-3,9,-4,-5,15,8,-6,-1,6}

Question 13

13.

If μ = {2,6,3,-8,-2,4,-3,7,9,-4,-5,-9,-6}, A = {2,6,3,-8} and B = {-2,4,2,6,-3,7}, find (A ∪ B) − (A ∩ B)

(i)

{-2,-6,3,-3,7,-8,4}
(ii)

{-8,-2,-3,4,-5,3}
(iii)

{-3,-8,4,-2,7}
(iv)

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

{-2,-8,4,3,7,-3}

Question 14

14.

If μ = {4,13,16,3,17,-1,14,6,9,2,5,7,-4,-8,10,-9,-7,8,12,0,1},A = {4,13,16,3,17,-1,14,6,9,2}, B = {5,7,-4,-8,10,17,-9,-7}, C = {14,17,8,5,12,6,7,13}, find B'

(i)

{12,3,1,13,14,9,6,16,-1,8,2,4,17}
(ii)

{12,3,1,13,14,9,6,16,-1,8,2,0,4}
(iii)

{12,3,1,13,14,9,6,16,-1,8,2,0,4,17}
(iv)

{12,3,1,13,14,9,6,16,-1,8,2,4}
(v)

{12,3,1,13,9,6,16,-1,8,2,0,4}

Question 15

15.

Which of the following is equivalent set of A = {-5,-2}?

(i)

{-1,-6}
(ii)

{-8,6,3,9}
(iii)

{-5}
(iv)

{-1,-6,-2}
(v)

{}

Question 16

16.

If μ = {-7,7,0,6,-8,4,-2,3,-3,8,-5,1,-6,9,2}, A = {-7,7,0,6,-8} and B = {4,-2,3,-3,6,8,-8}, find A ∪ B

(i)

{-8,8,2,4,-2,0,6,-3,7,3}
(ii)

{9,-2,-3,-7,-8,7,3,0,6,8,4}
(iii)

{8,-2,-8,7,-7,-3,3,0,6}
(iv)

{-3,0,3,6,7,-7,8,-8,-2,4}
(v)

{-2,7,-3,-8,8,4,6,3,-7}

Question 17

17.

If μ = {-2,5,-4,-6,2,9,0,6,4,8,-3,-5,1,10,12,3,-1,11,15,-8,7,13,-7,14},A = {-2,5,-4,-6,2,9,0,6,4,8}, B = {-2,0,-3,8,-5,-4,1}, C = {1,6,-2,2,-4,0,-5}, find C − (A ∩ B)

(i)

{-5,1,6,2}
(ii)

{-5,1,6,2,7}
(iii)

{1,6,2}
(iv)

{-5,6,2}
(v)

{1,6,2,7}

Question 18

18.

If μ = {8,4,5,-6,-4,-3,-2,0,-1,9,-5,2,11,6,7,-8,13,1,-9},A = {8,4,5,-6,-4,-3}, B = {-6,8,-2,0,-1,9,4}, C = {-5,8,2,-3,11,6,-6,-2,7}, find A ∪ (B ∩ C)

(i)

{4,-6,8,-4,-2,5,-3}
(ii)

{4,-6,-4,-2,5,-3}
(iii)

{4,-6,8,-4,-2,5,-3,6}
(iv)

{4,-6,-4,-2,5,-3,6}
(v)

{4,8,-4,-2,5,-3}

Question 19

19.

If A = {11,8,2,4,10} and B = {3,4,6,10,11} , then A ∪ B =

(i)

{6,16,2,4,3,8,11,10}
(ii)

{}
(iii)

{6,11,4,8,2,3}
(iv)

{2,4,10,3,6,11,8}
(v)

{11,2,10,4,16,6,3}

Question 20

20.

If μ = {-9,1,-6,-3,3,12,5,7,-4,4,10,6,8,9,-1,14,11,-2,-8,-5,13},A = {-9,1,-6,-3,3,12,5,7,-4}, B = {4,3,10,6,-9,12,-4,8,9}, C = {-9,-1,-3,4,14,11}, find (A ∪ B ∪ C)'

(i)

{-5,-2,13,-8}
(ii)

{-5,13,-8}
(iii)

{-2,13,-8}
(iv)

{-5,13,-8,-1}
(v)

{-5,-2,13,-8,-1}

Question 21

21.

If A = {-4,8,-3,6,1,-9} and μ = {-4,8,-3,6,1,-9,2,5,0,7}, find A ∪ A'

(i)

{-9,8,0,5,1,6,7,-3,2}
(ii)

{0,-4,-3,5,-9,7,2,1,8,9}
(iii)

{6,-9,2,1,7,5,-4,8,-3,0}
(iv)

{5,-3,0,3,2,7,1,-9,-4,4,6,8}
(v)

{-3,8,-10,2,-6,0,4,6,7,1}

Question 22

22.

Which of the following is 'complement' symbol?

(i)

∪
(ii)

'
(iii)

∩
(iv)

∉
(v)

⊃

Question 23

23.

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

(i)

4
(ii)

3
(iii)

5
(iv)

7
(v)

1

Question 24

24.

Which of the following are null sets?

a)

{empty}

b)

∅

c)

{6,4,3}

d)

{}

e)

{∅}

(i)

{c,d,b}
(ii)

{c,d}
(iii)

{a,b}
(iv)

{e,a,b}
(v)

{b,d}

Question 25

25.

If A = {14,7,9} , B = {11,14,5} and C = {15,3,6,14} , then C ∪ (A ∪ B) =

(i)

{15,3,11,7,14,6,9}
(ii)

{15,11,7,3,6,14,5,9}
(iii)

{6,14,5,9,11,7,3}
(iv)

{14,6,9,5,3,11,15}
(v)

{9,11,6,7,3,5,14,15,19}

Assignment Key