EduSahara™ Worksheet

Question 1

1.

Find (B ∪ C)'

(i)

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

{4,-9,3,13,7,12,-1,11,1}
(iii)

{4,-9,3,13,7,12,-1,11}
(iv)

{4,-9,3,13,7,-1,11,1,0}
(v)

{4,-9,3,13,7,12,-1,11,1,0}

Question 2

2.

Find (C ∪ A)'

(i)

{8,17,11,4,0,2,-7,13}
(ii)

{8,17,11,4,9,0,2,-7}
(iii)

{8,17,11,4,9,0,2,-7,13}
(iv)

{8,17,11,4,0,2,-7}
(v)

{8,11,4,9,0,2,-7,6}

Question 3

3.

Find (A ∪ B ∪ C)'

(i)

{14,4,-5}
(ii)

{14,4,-5,15}
(iii)

{14,11,4,-5}
(iv)

{14,11,4,-5,-9}
(v)

{14,4,-5,-9}

Question 4

4.

Find (A ∩ B)'

(i)

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

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

{}
(iv)

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

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

Question 5

5.

Find (B ∩ C)'

(i)

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

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

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

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

{-1,1,-7,13,6,-4,9,-3,-2,3,12,-8,2,7,-5,-9,-6}

Question 6

6.

Find (C ∩ A)'

(i)

{4,14,8,-3,-6,16,-4,9,0,2,10,-8,-7,-1,3,13,15,-2,6,12}
(ii)

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

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

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

{4,14,8,-3,-6,16,-4,9,0,2,10,-5,-8,-7,-1,3,13,15,-2,6,12}

Question 7

7.

Find (A ∩ B ∩ C)'

(i)

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

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

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

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

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

Question 8

8.

Find (A − (A ∩ (B ∩ C)))'

(i)

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

{3,-4,-3,14,-6,-9,12,9,-2,10,13,11,7,6,15,4}
(iii)

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

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

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

Question 9

9.

Find (B − (A ∩ (B ∩ C)))'

(i)

{-5,11,2,-7,-4,-1,-8,-3,18,16,0,14,10,-2}
(ii)

{-5,11,2,-7,-4,-1,-8,-3,18,16,0,14,10,7,-2}
(iii)

{-5,11,2,-7,-4,-1,-8,18,16,0,14,10,7,-2,6}
(iv)

{-5,11,2,-7,-4,-1,-8,-3,18,16,0,14,10,7,-2,15}
(v)

{-5,11,2,-7,-1,-8,-3,18,16,0,14,10,7,-2,15}

Question 10

10.

Find (C − (A ∩ (B ∩ C)))'

(i)

{1,14,3,19,-6,13,7,11,-1,8,-2,-9,15,10,17}
(ii)

{1,14,3,19,-6,13,7,6,-1,8,-2,-9,15,10,17,9}
(iii)

{1,14,3,19,-6,13,7,11,6,-1,8,-2,-9,15,10,17,9}
(iv)

{1,14,19,-6,13,7,11,6,-1,8,-2,-9,15,10,17,-4}
(v)

{1,14,3,19,-6,13,7,11,6,-1,8,-2,-9,15,10,17}

Question 11

11.

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

(i)

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

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

{8,13,9,1,-9,-1,4,-3,-6,2,3,-8,-2,7,11}
(iv)

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

{8,13,9,1,-9,-1,4,-3,-6,2,3,-8,-2,7,10,11}

Question 12

12.

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

(i)

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

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

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

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

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

Question 13

13.

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

(i)

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

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

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

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

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

Question 14

14.

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

(i)

{6,2,1,12,10,-8,-6,0}
(ii)

{6,1,12,10,-8,-6,0,14,8}
(iii)

{6,2,1,12,10,-8,-6,0,14}
(iv)

{6,1,12,10,-8,-6,0,14}
(v)

{6,2,1,12,10,-8,-6,0,14,8}

Question 15

15.

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

(i)

{15,16,7,2,-2,9,13,-3,5,6,12,4}
(ii)

{15,16,7,2,-2,9,13,-3,5,6,12}
(iii)

{15,16,7,2,-4,-2,9,13,-3,5,6,12,4}
(iv)

{15,16,7,2,-4,-2,9,13,-3,5,6,12}
(v)

{16,7,2,-4,-2,9,13,-3,5,6,12}

Question 16

16.

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

(i)

{1,3,2,11,9,-3,12,8,-8}
(ii)

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

{3,2,11,-6,9,-3,12,8,-8}
(iv)

{1,3,2,11,-6,9,-3,12,8,-8,13}
(v)

{3,2,11,-6,9,-3,12,8,-8,13}

Question 17

17.

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

(i)

{-9,15,7,12,3}
(ii)

{-9,15,7,3}
(iii)

{-9,7,12}
(iv)

{-9,15,7}
(v)

{-9,15,7,12}

Question 18

18.

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

(i)

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

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

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

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

{9,7,-7,11,-6,8,5,6,-8,2,10,-2,-3,3,12}

Question 19

19.

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

(i)

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

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

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

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

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

Question 20

20.

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

(i)

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

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

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

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

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

Question 21

21.

If μ = {-6,-9,-2,-3,0,-1,19,18,-8,1,-4,8,9,15,2,5,20,10,-7,7,4},A = {-6,-9,-2,-3,0,-1,19,18,-8}, B = {1,-4,0,18,8,-9,9,15,2,5}, C = {-9,0,20,10,18,9,-8,8,19,-6}, find (A ∩ B ∩ C)'

(i)

{10,-8,15,-4,19,5,1,-3,20,9,2,-2,4,-1,-6,7,8,18}
(ii)

{10,-8,15,-4,19,5,1,-3,20,9,2,-2,4,-1,-6,-7,7,8,18}
(iii)

{10,15,-4,19,5,1,-3,20,9,2,-2,4,-1,-6,-7,7,8}
(iv)

{10,-8,15,-4,19,5,1,-3,20,9,2,-2,4,-1,-6,7,8}
(v)

{10,-8,15,-4,19,5,1,-3,20,9,2,-2,4,-1,-6,-7,7,8}

Question 22

22.

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

(i)

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

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

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

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

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

Question 23

23.

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

(i)

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

{4,-9,6,9,3,5,7,2,-7,-8,-5,11,-2,13}
(iii)

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

{4,-9,6,3,5,7,2,-7,-8,-5,11,-2,13}
(v)

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

Question 24

24.

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