EduSahara™ Worksheet

Question 1

1.

Find (B ∪ C)'

(i)

{-5,1,-1,-4,0,-3,-2,16,-7}
(ii)

{-5,1,-4,0,-3,-2,16,-7}
(iii)

{-5,1,-1,-4,0,-3,-2,10}
(iv)

{1,-1,-4,0,-3,-2,16}
(v)

{-5,1,-1,-4,0,-3,-2,16}

Question 2

2.

Find (C ∪ A)'

(i)

{15,16,5,4,1,13,11,2}
(ii)

{15,16,5,4,-9,1,11,7}
(iii)

{15,16,5,4,-9,1,11}
(iv)

{15,16,5,4,-9,1,13,11}
(v)

{15,16,5,4,-9,1,13,11,7}

Question 3

3.

Find (A ∪ B ∪ C)'

(i)

{-5,0,3,7,12,-7}
(ii)

{-5,0,7,12,-7}
(iii)

{-5,0,3,7,12}
(iv)

{0,3,7,12,4}
(v)

{-5,0,3,12}

Question 4

4.

Find (A ∩ B)'

(i)

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

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

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

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

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

Question 5

5.

Find (B ∩ C)'

(i)

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

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

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

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

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

Question 6

6.

Find (C ∩ A)'

(i)

{0,11,-1,-9,12,6,-2,10,-4,9,7,15,13,-5,5,-6,2}
(ii)

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

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

{0,11,-1,-9,12,6,-2,10,-4,9,7,15,13,-5,5,-6}
(v)

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

Question 7

7.

Find (A ∩ B ∩ C)'

(i)

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

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

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

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

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

Question 8

8.

Find (A − (A ∩ (B ∩ C)))'

(i)

{8,14,4,3,7,-5,18,2,0,5,-6,-2,16,12,17,-9,-7}
(ii)

{8,14,4,6,3,7,-5,18,2,0,5,-6,-2,12,17,-9,-7,10}
(iii)

{8,14,4,6,3,7,-5,18,2,0,5,-6,-2,16,12,17,-9,-7,10}
(iv)

{8,14,4,6,3,7,-5,18,2,0,5,-6,-2,16,12,17,-9,-7}
(v)

{8,14,4,6,3,7,-5,18,2,0,5,-6,-2,16,12,17,-7,1}

Question 9

9.

Find (B − (A ∩ (B ∩ C)))'

(i)

{10,3,0,-9,16,-1,8,-2,17,-4,13,12,2,-8,5,4,6}
(ii)

{10,3,0,-9,16,-1,8,-2,17,-4,13,12,2,-8,4,6,9}
(iii)

{10,3,0,-9,16,-1,-2,17,-4,13,12,2,-8,5,4,6}
(iv)

{10,3,0,-9,16,-1,8,-2,17,-4,13,12,2,-8,5,4,6,14}
(v)

{10,3,0,-9,-1,8,-2,17,-4,13,12,2,-8,5,4,6,14}

Question 10

10.

Find (C − (A ∩ (B ∩ C)))'

(i)

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

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

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

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

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

Question 11

11.

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

(i)

{16,-1,0,3,13,-4,5,-8,-5,15,12,2,11,-7,17}
(ii)

{16,-1,0,3,13,-4,5,-8,-5,15,12,2,11,-7,17,14}
(iii)

{16,-1,0,3,13,-4,5,-8,15,12,2,11,-7,17}
(iv)

{16,-1,0,3,13,-4,5,-8,15,12,2,11,-7,17,14}
(v)

{16,-1,0,3,13,-4,5,-8,-5,15,12,2,11,-7}

Question 12

12.

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

(i)

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

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

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

{5,-4,-7,2,0,11,9,8,-9,4,7}
(v)

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

Question 13

13.

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

(i)

{12,16,14,-6,8,-7,4,-9,11,-3,9,-5,1}
(ii)

{12,16,14,-6,8,-7,4,-9,11,-3,9,-5}
(iii)

{12,16,14,-6,8,-7,4,11,0,-3,9,-5}
(iv)

{12,16,14,-6,8,-7,4,-9,11,0,-3,9,-5,1}
(v)

{12,16,14,-6,8,-7,4,-9,11,0,-3,9,-5}

Question 14

14.

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

(i)

{5,4,-7,-9,-5,-2,-4,10}
(ii)

{9,5,4,-7,-9,-5,-2,-4,10}
(iii)

{9,5,4,-7,-9,-5,-2,-4}
(iv)

{5,4,-7,-9,-5,-2,-4}
(v)

{9,5,-7,-9,-5,-2,-4}

Question 15

15.

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

(i)

{10,1,14,15,9,-4,-5,8}
(ii)

{10,1,14,-7,9,-4,-5}
(iii)

{10,1,14,15,-7,9,-4,-5,8}
(iv)

{10,1,14,15,9,-4,-5}
(v)

{10,1,14,15,-7,9,-4,-5}

Question 16

16.

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

(i)

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

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

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

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

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

Question 17

17.

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

(i)

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

{8,-6,7,12}
(iii)

{8,-6,7}
(iv)

{-6,7,-8}
(v)

{8,-6,7,-8,12}

Question 18

18.

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

(i)

{3,5,14,8,11,7,-9,-4,-1,4,13,-7,1,-8,19,15,10,16,-2,-6,2,0}
(ii)

{3,5,14,8,11,7,-9,-4,-1,4,13,-7,1,-8,19,15,10,6,16,-2,-6,2}
(iii)

{3,5,14,8,11,7,-9,-4,-1,4,13,-7,1,-8,19,15,10,6,16,-2,-6,2,0}
(iv)

{3,5,14,11,7,-9,-4,-1,4,13,-7,1,-8,19,15,10,6,16,-2,-6,2}
(v)

{3,5,14,8,11,7,-9,-4,-1,4,13,-7,1,-8,19,15,10,16,-2,-6,2}

Question 19

19.

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

(i)

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

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

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

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

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

Question 20

20.

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

(i)

{4,11,9,5,-6,16,7,0,-1,3,6,-7,13,15,1,-3}
(ii)

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

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

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

{8,4,11,9,5,-6,16,7,0,-1,3,6,-7,13,15,1,-3}

Question 21

21.

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

(i)

{3,9,2,-8,14,-3,16,-9,11,-2,-5,10,15,1,-1,4,-6,-7,12}
(ii)

{3,9,2,-8,14,-3,16,-9,11,18,-2,-5,15,1,-1,4,-6,-7,12}
(iii)

{3,9,2,-8,14,-3,16,-9,11,18,-2,-5,10,15,1,-1,4,-6,-7,12,0}
(iv)

{3,9,2,-8,14,-3,16,-9,11,18,-2,-5,15,1,-1,4,-6,-7,12,0}
(v)

{3,9,2,-8,14,-3,16,-9,11,18,-2,-5,10,15,1,-1,4,-6,-7,12}

Question 22

22.

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

(i)

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

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

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

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

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

Question 23

23.

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

(i)

{-4,4,11,14,17,-8,7,-6,0,12,13,-3,6,-5,-9,16,-1}
(ii)

{-4,4,11,14,17,-8,7,-6,12,13,-3,6,-5,-9,16,-1}
(iii)

{-4,11,14,17,-8,7,-6,0,12,13,-3,6,-5,-9,16,-1,1}
(iv)

{-4,11,14,17,-8,7,-6,0,12,13,-3,6,-5,-9,16,-1}
(v)

{-4,4,11,14,17,-8,7,-6,0,12,13,-3,6,-5,-9,16,-1,1}

Question 24

24.

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