EduSahara™ Worksheet

Question 1

1.

If A = {-7,-4,1} and μ = {-7,-4,1,-1,-6}, find (A')'

(i)

{0,-4,-7,-1,1}
(ii)

{-4,1}
(iii)

{}
(iv)

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

{-12,-9,1}

Question 2

2.

If A = {2,15,11,10,5} and B = {5,0,12,4,7} , then A ∪ B =

(i)

{4,11,19,0,7,2,15,10,12}
(ii)

{5,15,4,12,2,0,11,7,10}
(iii)

{12,11,0,4,17,2,7,10,15,5}
(iv)

{2,7,11,0,10,15,4,12}
(v)

{}

Question 3

3.

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

(i)

13
(ii)

8
(iii)

12
(iv)

10
(v)

11

Question 4

4.

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

(i)

{4,7,-1,11,-8,3}
(ii)

{4,7,-1,-2,11,-8,3}
(iii)

{4,7,-2,11,-8,3,9}
(iv)

{4,7,-1,11,-8,3,2}
(v)

{4,7,-1,-2,11,-8,3,2}

Question 5

5.

Which of the following is a subset of A = {2,1}?

(i)

{5}
(ii)

{4,1}
(iii)

{}
(iv)

{5,0}
(v)

{0,5,4}

Question 6

6.

Which of the following is 'null set' symbol?

(i)

∅
(ii)

∉
(iii)

⊃
(iv)

∩
(v)

∈

Question 7

7.

If A = {15,12,0,2} , B = {3,10,2} and C = {3,6,12} , then C ∪ (A ∪ B) =

(i)

{0,2,12,17,3,15,10,6}
(ii)

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

{15,3,12,0,6,2}
(iv)

{12,15,10,0,3,2}
(v)

{0,2,6,3,15,10,12}

Question 8

8.

Which of the following is an empty set?

(i)

{empty}
(ii)

{}
(iii)

{∅}
(iv)

{0}
(v)

{o}

Question 9

9.

If A = {4,0,9,6} and B = {0,3,9,6} , then A − B =

(i)

{3}
(ii)

{4,12}
(iii)

{9,4}
(iv)

{4}
(v)

{}

Question 10

10.

Which of the following elements does not belong to the set {8,2,4,6,5}?

(i)

5
(ii)

1
(iii)

8
(iv)

2
(v)

4

Question 11

11.

If A ⊂ B, then which of the following are true?

a)	B − A = A
b)	A − B = ∅
c)	B − A = B
d)	A − B = B
e)	A ∪ B = ∅

(i)

{c,b}
(ii)

{a,b}
(iii)

{b}
(iv)

{d,e,b}

Question 12

12.

Which of the following is a subset of set A = {-4,-2,-5,5,-8}?

(i)

{∅}
(ii)

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

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

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

μ

Question 13

13.

If A = {4,5,10} and B = {4,3,10} , then B ∩ A =

(i)

{4,11,10}
(ii)

{4,10,5}
(iii)

{5,4,3,10}
(iv)

{4,10}
(v)

{3,10,4}

Question 14

14.

If μ = {-8,10,-4,-9,-6,7,-5,5,-3,4,6,-2,1,-1,-7,0,8,3}, A = {-8,10,-4,-9,-6,7,-5} and B = {-5,5,-3,4,6,-2,-4}, find n(( (A − B) ∪ (B − A) )')

(i)

8
(ii)

9
(iii)

7
(iv)

11
(v)

6

Question 15

15.

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

(i)

{-9,-5}
(ii)

{-9,8,-5,-3}
(iii)

{-9,8}
(iv)

{-9,8,-3}
(v)

{-9,8,-5}

Question 16

16.

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

(i)

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

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

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

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

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

Question 17

17.

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

(i)

{10,-2,-8,3,5,13,7,-1,-4,15}
(ii)

{10,-2,-8,3,5,13,7,-1,-4}
(iii)

{10,-2,-8,3,5,13,7,-1,15}
(iv)

{10,-2,-8,3,5,13,7,-1}
(v)

{10,-2,-8,3,5,13,7,-4}

Question 18

18.

If μ = {3,-3,-2,0,4,-9,-6,8}, A = {3,-3,-2} and B = {0,4,3}, find A ∩ B

(i)

{-6}
(ii)

{}
(iii)

{3}
(iv)

{3,-6}

Question 19

19.

Which of the following is a subset of set A = {2,6,-7,9,-9}?

(i)

{-4,6,9,-9,2}
(ii)

μ
(iii)

{∅}
(iv)

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

∅

Question 20

20.

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

(i)

{-8,11,13,-3,6,14,-7,-6,9,5}
(ii)

{-8,11,13,-3,6,14,-7,-6,9,5,-9}
(iii)

{-8,11,13,-3,14,-7,-6,9,5,-9}
(iv)

{-8,11,13,-3,6,14,-7,9,5}
(v)

{-8,11,13,-3,14,-7,-6,9,5}

Question 21

21.

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

(i)

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

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

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

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

{0,4,-7,-5,-8,2,9,6,-2,-3,-4}

Question 22

22.

Which of the following is the power set of A =
{4,8,2}
?

(i)

{2,8,0,4}
(ii)

{
{}

{4}

{8}

{4,8}

{4,2}

{8,2}

{4,8,2}
}
(iii)

{
{}

{4}

{8}

{2}

{4,8}

{4,2}

{8,2}

{4,8,2}

{0}
}
(iv)

{
{}

{4}

{8}

{2}

{4,8}

{4,2}

{8,2}

{4,8,2}
}
(v)

{
{}

{4}

{4,8}

{4,2}

{8,2}

{4,8,2}
}

Question 23

23.

Find the cardinality of A = {-5,3,5,-7}

(i)

5
(ii)

7
(iii)

4
(iv)

1
(v)

3

Question 24

24.

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

(i)

4
(ii)

6
(iii)

8
(iv)

3
(v)

5

Question 25

25.

If A = {5,12,15} , B = {0,12,6} and C = {8,12,2,4} , then C ∪ (A ∪ B) =

(i)

{8,6,5,2,0,4,12}
(ii)

{5,6,4,0,12,8,15,2}
(iii)

{4,0,8,12,5,15,6}
(iv)

{12,6,0,5,4,8,2,15,17}
(v)

{2,5,12,0,8,4,15}

Assignment Key