EduSahara™ Worksheet

Question 1

1.

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

(i)

{-8,-5,-3,0,7}
(ii)

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

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

{}

Question 2

2.

The symmetric difference of set A = {5,3,15,8,0,1} and set B = {8,15,9,10,2,1} is

(i)

{5,10,2,0,9,3}
(ii)

{2,10,9}
(iii)

{10,3,2,9,5}
(iv)

{10,2,0,9,15,3,5}
(v)

{3,5,0}

Question 3

3.

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

(i)

15
(ii)

10
(iii)

14
(iv)

13
(v)

12

Question 4

4.

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

(i)

{7,-3,-9}
(ii)

{7,-3}
(iii)

{7}
(iv)

{7,-9}
(v)

{7,9}

Question 5

5.

If A = {1,5,2,15,12,0} and B = {10,4,7,9,13,0} , then A − B =

(i)

{1,5,15,2,12}
(ii)

{15,1,16,12,2,5}
(iii)

{10,7,4,9,13}
(iv)

{15,2,1,12}
(v)

{15,0,5,12,1,2}

Question 6

6.

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

(i)

3
(ii)

4
(iii)

1
(iv)

5
(v)

6

Question 7

7.

Which of the following is 'not a superset' symbol?

(i)

∈
(ii)

⊃
(iii)

∩
(iv)

⊆
(v)

⊅

Question 8

8.

Which of the following is superset of A = {4,2,6,7,9}?

(i)

{2,6,9,4,5}
(ii)

{9,4,0,2,7}
(iii)

{9,4,7,6}
(iv)

{7,4,3,9,2,6}
(v)

{4,6,9}

Question 9

9.

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

(i)

{12,-1,7,13,2,9,3,17,-8,4,8,1,10,15,-9,16,-4,11}
(ii)

{12,-1,7,13,2,9,3,17,-8,4,8,1,10,15,-9,16,-4}
(iii)

{12,-1,7,13,2,9,3,17,-8,4,8,1,10,-9,16,-4}
(iv)

{12,-1,7,13,2,9,3,17,-8,4,1,10,15,-9,16,-4}
(v)

{12,-1,7,13,2,9,3,17,-8,4,1,10,15,-9,16,-4,11}

Question 10

10.

If A = {8,10,11,4,9,5,14} and B = {0,6,3,12,11,10,9} , then A ∩ B =

(i)

{9,10,4,11}
(ii)

{9,17,10,11}
(iii)

{9,3,11,10}
(iv)

{9,11,10}
(v)

{9,11,5,8,10}

Question 11

11.

Which of the following is 'complement' symbol?

(i)

'
(ii)

∪
(iii)

∩
(iv)

∉
(v)

↔

Question 12

12.

If A = {6,1,8,4,10} and B = {9,4,3,2,8} , then B ∩ A =

(i)

{4,8}
(ii)

{4,8,1,9}
(iii)

{8,3,4}
(iv)

{8,11,4}
(v)

{4,8,6}

Question 13

13.

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

(i)

{11,12,5,-4,14,9,-3,10}
(ii)

{11,12,5,-4,14,9,-3,10,-8}
(iii)

{12,2,5,-4,14,9,-3,10}
(iv)

{11,12,2,5,-4,14,9,-3,10,-8}
(v)

{11,12,2,5,-4,14,9,-3,10}

Question 14

14.

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

(i)

2
(ii)

0
(iii)

3
(iv)

4
(v)

1

Question 15

15.

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

(i)

{6,7,9,3,2}
(ii)

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

{2,9,6,5}
(iv)

{9,2,6,7,5}
(v)

{6,-2,7,9,5,2}

Question 16

16.

If μ = {-1,1,11,-2,3,9,-6,-4,10,7,6,13,-5,-8,12,-3,5,0,4,2,-9,8},A = {-1,1,11,-2,3,9,-6}, B = {-4,10,7,6,-1,13,-5,-8}, C = {1,9,10,-6,12,7,-3,5}, find B ∪ C

(i)

{-8,5,10,-3,13,1,-6,6,7,-4,-1,12,9}
(ii)

{-5,-8,5,10,-3,13,1,-6,6,7,-4,-1,12,9,8}
(iii)

{-5,-8,5,10,-3,13,1,-6,6,7,-4,-1,12}
(iv)

{-5,-8,5,10,-3,13,1,-6,6,7,-4,-1,12,9}
(v)

{-5,-8,5,10,-3,13,1,-6,6,7,-4,-1,12,8}

Question 17

17.

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

(i)

{6,8,14,13,5,0,-7,-2,11,-9,2}
(ii)

{6,14,13,5,0,-7,-2,11,-3,-9}
(iii)

{6,8,14,13,5,0,-7,-2,11,-3,-9}
(iv)

{6,8,14,13,5,0,-7,-2,11,-9}
(v)

{6,8,14,13,5,0,-7,-2,11,-3,-9,2}

Question 18

18.

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

(i)

{3,6,-3,-5}
(ii)

{}
(iii)

{-3,6,2,-5,3}

Question 19

19.

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

(i)

6
(ii)

7
(iii)

3
(iv)

8
(v)

5

Question 20

20.

If A = {9,1,-3,-2,0} and μ = {9,1,-3,-2,0,-7,8,2}, find A ∩ μ

(i)

{-4,9,-2,3,1}
(ii)

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

{-2,9,1,-3,0}
(iv)

{0,-2,9,1}
(v)

{-2,1,2,9,0}

Question 21

21.

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

(i)

2
(ii)

4
(iii)

3
(iv)

6
(v)

5

Question 22

22.

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

(i)

{4,8,0}
(ii)

{4,0}
(iii)

{4,8,0,9}
(iv)

{8,0}
(v)

{8,0,9}

Question 23

23.

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

(i)

{-2,7,-5,1}
(ii)

{7,-2}
(iii)

{1,-2,7}
(iv)

{1,7}
(v)

{1,7,4}

Question 24

24.

Which of the following is equal to set A = {4,9}?

(i)

{4,-2}
(ii)

{-5,4,8}
(iii)

{9,4}
(iv)

{-2}
(v)

{1,-2}

Question 25

25.

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

(i)

{10,6,14,0,12,-9,-2,-8,-7,9,15,4,5,8,3,-3,2,-6,11,-4}
(ii)

{10,6,14,0,12,-9,-2,-8,-7,9,15,4,5,8,3,-3,2,-6,11,-4,-1}
(iii)

{13,10,6,14,0,12,-9,-2,-8,-7,15,4,5,8,3,-3,2,-6,11,-4,-1}
(iv)

{13,10,6,14,0,12,-9,-2,-8,-7,9,15,4,5,8,3,-3,2,-6,11,-4}
(v)

{13,10,6,14,0,12,-9,-2,-8,-7,9,15,4,5,8,3,-3,2,-6,11,-4,-1}

Assignment Key