EduSahara™ Worksheet

Question 1

1.

Find (B ∪ C)'

(i)

{4,-8,-9,2,11,-4,7,1,18}
(ii)

{4,19,-8,-9,2,11,-4,7,1,18}
(iii)

{4,19,-9,2,11,-4,7,1,6}
(iv)

{4,19,-8,-9,2,11,-4,7,1}
(v)

{4,19,-8,2,11,-4,7,1}

Question 2

2.

Find (C ∪ A)'

(i)

{2,11,-6,0,10,-3}
(ii)

{2,11,0,10,-1}
(iii)

{2,11,-6,0,10,-1,5}
(iv)

{2,11,-6,10,-1,5}
(v)

{2,11,-6,0,10,-1}

Question 3

3.

Find (A ∪ B ∪ C)'

(i)

{5,0,4}
(ii)

{5,0,9,4}
(iii)

{5,0}
(iv)

{5,9,-7}
(v)

{5,0,9}

Question 4

4.

Find (A ∩ B)'

(i)

{11,3,0,2,5,6,4,-1,-2,-9,7,-3,-4,1,-5,-8,10,-7}
(ii)

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

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

{11,3,0,2,5,6,4,-1,-2,7,-3,-4,1,-5,-8,9,10,-7,8}
(v)

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

Question 5

5.

Find (B ∩ C)'

(i)

{1,12,3,-6,11,-8,2,4,9,-7,-9,7,-1,-5,6,-2,-4}
(ii)

{1,12,3,-6,11,-8,2,9,-7,-9,7,-1,-5,6,-2,5}
(iii)

{1,12,3,-6,11,-8,2,4,9,-7,-9,7,-1,-5,6,-2}
(iv)

{1,12,3,-6,11,-8,2,4,9,-7,-9,7,-5,6,-2}
(v)

{1,12,3,-6,11,-8,2,4,9,-7,7,-1,-5,6,-2,-4}

Question 6

6.

Find (C ∩ A)'

(i)

{8,10,6,-3,5,-1,2,0,-7,-2,9,1,3,-5,12,4}
(ii)

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

{8,10,6,-3,5,-1,2,0,-7,-2,9,1,3,-5,12}
(iv)

{8,10,6,-3,5,-1,2,0,-7,9,1,3,-5,12,4}
(v)

{8,10,-3,5,-1,2,0,-7,-2,9,1,3,-5,12,-6}

Question 7

7.

Find (A ∩ B ∩ C)'

(i)

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

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

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

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

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

Question 8

8.

Find (A − (A ∩ (B ∩ C)))'

(i)

{12,-7,2,5,11,-6,-9,4,0,7}
(ii)

{-7,2,5,-3,11,-6,-9,4,0,7,-4}
(iii)

{12,-7,2,5,-3,11,-6,-9,4,0,7}
(iv)

{12,-7,2,5,-3,11,-6,-9,0,7,9}
(v)

{12,-7,2,5,-3,11,-6,-9,4,0,7,9}

Question 9

9.

Find (B − (A ∩ (B ∩ C)))'

(i)

{-7,-8,16,-6,-9,3,0,5,9,8,-2,4,-3,6,11}
(ii)

{-7,-8,16,-6,-9,3,0,5,9,8,-2,4,13,-3,6,1}
(iii)

{-7,-8,16,-6,-9,3,0,5,9,8,-2,4,13,6}
(iv)

{-7,-8,16,-6,-9,3,0,5,9,8,-2,4,13,-3,6}
(v)

{-7,-8,16,-6,-9,3,0,5,9,8,-2,4,13,-3,1}

Question 10

10.

Find (C − (A ∩ (B ∩ C)))'

(i)

{15,-4,13,11,12,4,-1,3,-7,8,17,16,18,2,-3,20,-9}
(ii)

{15,-4,13,11,12,4,-1,3,-7,8,17,16,1,18,-3,20,-9,-5}
(iii)

{15,-4,13,11,12,4,-1,3,-7,8,17,16,1,18,2,-3,20,-9,19}
(iv)

{15,-4,13,11,12,4,-1,-7,8,17,16,1,18,2,-3,20,-9,19}
(v)

{15,-4,13,11,12,4,-1,3,-7,8,17,16,1,18,2,-3,20,-9}

Question 11

11.

If μ = {-5,4,20,-3,0,10,15,17,5,18,-9,8,12,14,7,19,13,9,2,-4,3,11},A = {-5,4,20,-3,0,10,15,17,5,18}, B = {-9,15,0,8,12,14,7,19,13,20}, C = {17,9,4,10,14,2,-4,-9,15}, find A'

(i)

{12,14,9,13,2,3,8,19,11,7,-4}
(ii)

{-9,12,14,9,13,2,3,8,19,11,-4,-5}
(iii)

{-9,12,14,9,13,2,3,8,19,11,7,-4}
(iv)

{-9,12,14,9,13,2,3,8,19,11,7,-4,-5}
(v)

{-9,12,14,9,13,2,3,8,19,11,-4}

Question 12

12.

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

(i)

{-6,17,4,13,9,12,14,16,-3,-8,6,7,3,10,8}
(ii)

{-6,17,4,13,9,12,14,16,-3,-8,6,7,3,10}
(iii)

{-6,17,11,4,13,9,12,14,16,-3,-8,6,7,3,10}
(iv)

{-6,17,11,4,13,9,12,14,16,-3,-8,6,7,3,10,8}
(v)

{-6,11,4,13,9,12,14,16,-3,-8,6,7,3,10}

Question 13

13.

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

(i)

{-2,12,9,5,11,8,0,-8,13,2,10,14,-5,7}
(ii)

{-2,12,9,5,11,8,0,-8,13,2,10,14,-5}
(iii)

{-2,12,9,5,11,-7,8,0,-8,13,2,10,14,-5,7}
(iv)

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

{-2,12,9,5,11,-7,8,0,-8,13,2,10,14,-5}

Question 14

14.

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

(i)

{12,-7,5,6,9,-6,-1}
(ii)

{12,-7,5,6,9,-6}
(iii)

{12,-7,5,6,-6}
(iv)

{12,-7,5,6,9}
(v)

{12,-7,5,6,9,-1}

Question 15

15.

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

(i)

{11,2,-6,3,4,-9,6}
(ii)

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

{11,2,-6,3,4,-9,6,-2}
(iv)

{11,2,-6,4,-9,6,-2}
(v)

{11,2,-6,4,-9,6}

Question 16

16.

If μ = {3,17,13,14,4,8,18,9,5,0,2,1,6,12,-1,-3,-7,19,-4,-2,15,11,-6,10,-9,16},A = {3,17,13,14,4,8,18,9,5,0}, B = {2,0,1,8,14,6,12,-1,-3,5}, C = {3,14,-7,13,9,8,4,17,19}, find (C ∪ A)'

(i)

{10,15,-2,2,16,-3,11,-4,-1,6,-6,1,12,-9}
(ii)

{10,15,-2,2,16,-3,11,-4,-1,6,-6,1,12,-9,18}
(iii)

{10,15,-2,2,16,-3,-4,-1,6,-6,1,12,-9}
(iv)

{10,15,-2,2,16,-3,11,-4,-1,6,-6,12,-9,18}
(v)

{10,15,-2,2,16,-3,11,-4,-1,6,-6,12,-9}

Question 17

17.

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

(i)

{5,11,2,-6,9,4,-5}
(ii)

{-3,5,11,2,-6,9,-5,12}
(iii)

{-3,5,11,2,-6,9,4,-5,12}
(iv)

{-3,5,11,2,-6,9,-5}
(v)

{-3,5,11,2,-6,9,4,-5}

Question 18

18.

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

(i)

{17,-2,8,9,15,7,13,16,0,10,2,6,-7,11,1,14,4,-5}
(ii)

{17,-2,8,9,15,3,7,13,16,10,2,6,-7,11,1,14,4,-5}
(iii)

{17,-2,8,9,15,3,7,13,16,0,10,2,6,-7,11,1,14,4,-5}
(iv)

{17,-2,8,9,15,3,7,13,16,0,10,2,6,-7,11,1,14,4,-5,-9}
(v)

{17,-2,8,9,15,3,7,13,16,10,2,6,-7,11,1,14,4,-5,-9}

Question 19

19.

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

(i)

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

{13,5,2,6,12,7,0,10,11,4,-4,-6,3,14}
(iii)

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

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

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

Question 20

20.

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

(i)

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

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

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

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

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

Question 21

21.

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

(i)

{-8,6,8,1,13,5,10,-7,-5,3,4,-1,17,-9,7,-4,11,-6,0,16,14,-2,-3}
(ii)

{-8,6,8,1,13,5,10,-7,-5,3,4,-1,15,17,-9,7,-4,11,-6,0,16,14,-2,-3,2}
(iii)

{-8,6,8,1,13,5,10,-7,-5,3,4,-1,15,17,-9,7,-4,-6,0,16,14,-2,-3,2}
(iv)

{-8,6,8,1,13,5,10,-7,-5,3,4,-1,15,17,-9,7,-4,11,-6,0,16,14,-2,-3}
(v)

{-8,6,8,1,13,5,10,-7,-5,3,4,-1,15,17,-9,7,-4,-6,0,16,14,-2,-3}

Question 22

22.

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

(i)

{12,-5,4,10,5,-1,11,2,-9,-4,13,-3,8}
(ii)

{12,-5,4,10,-1,11,2,-9,-4,13,-3}
(iii)

{12,-5,4,10,5,-1,2,-9,-4,13,-3,8}
(iv)

{12,-5,4,10,5,-1,2,-9,-4,13,-3}
(v)

{12,-5,4,10,5,-1,11,2,-9,-4,13,-3}

Question 23

23.

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

(i)

{5,4,-6,-2,-3,11,10,2,14,-1,1,9,-8,6}
(ii)

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

{5,4,-6,-2,-3,11,2,14,-1,1,9,-8,6}
(iv)

{5,4,-6,-2,-3,11,10,2,14,-1,1,9,-8,6,-7}
(v)

{5,4,-6,-2,-3,11,10,2,14,-1,1,9,6}

Question 24

24.

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