EduSahara™ Worksheet

Question 1

1.

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

(i)

4
(ii)

7
(iii)

3
(iv)

2
(v)

5

Question 2

2.

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

(i)

{}
(ii)

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

{-5,8,-7,-4,0}

Question 3

3.

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

(i)

{8}
(ii)

{}
(iii)

{7}

Question 4

4.

Which of the following is not equal to set A = {0,1,9,2,8,6,4,7,10,3}?

(i)

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

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

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

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

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

Question 5

5.

If A = {4,1,8,0,9} and B = {3,0,7,1,9} , then A ∩ B =

(i)

{8,0,3,1,9}
(ii)

{0,4,1,9}
(iii)

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

{9,1,0}
(v)

{0,1,14,9}

Question 6

6.

If A = {10,3,4,8} and B = {6,4,0,8} , then A − B =

(i)

{10,3}
(ii)

{10,4,3}
(iii)

{6,0}
(iv)

{10}
(v)

{3,11,10}

Question 7

7.

Which of the following is 'minus' symbol?

(i)

∩
(ii)

∉
(iii)

⊄
(iv)

−
(v)

⊅

Question 8

8.

If A = {1,5,4} and B = {1,5,4} , then B ∪ A =

(i)

{5,8,4}
(ii)

{}
(iii)

{10,4,1,5}
(iv)

{1,4,5}
(v)

{4,1}

Question 9

9.

Which of the following is a null set?

(i)

{-2,7,1,-8,8}
(ii)

{}
(iii)

{-7,-2,4,8}
(iv)

{-8,-3}
(v)

{-7,-1,3}

Question 10

10.

If A = {3,4,7,14} , B = {13,5,4} and C = {1,13,11} , then B ∪ (C ∪ A) =

(i)

{13,11,14,3,7,1,4}
(ii)

{4,13,5,14,7,11,3,1}
(iii)

{7,4,1,5,14,13,3}
(iv)

{13,1,5,7,4,3,11,14,19}
(v)

{4,3,1,5,14,13,11}

Question 11

11.

If μ = {-9,2,1,-4,9,-5,3,4,-8}, A = {-9,2,1} and B = {-4,1,9,-5}, find B − A

(i)

{-4,-5,4,9}
(ii)

{}
(iii)

{-5,-4}
(iv)

{-8,-4,9}
(v)

{-5,-4,9}

Question 12

12.

Which of the following is a subset of A = {1,6,0,11,5,3}?

(i)

{0}
(ii)

{0,10,7}
(iii)

{10,7,4}
(iv)

{11,7,5,1,6,0}
(v)

{10,0}

Question 13

13.

Which of the following is 'intersection' symbol?

(i)

⊃
(ii)

∩
(iii)

∈
(iv)

∪
(v)

⊇

Question 14

14.

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

(i)

1
(ii)

(-3)
(iii)

(-1)
(iv)

0
(v)

2

Question 15

15.

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

(i)

{}
(ii)

{-7,-4}
(iii)

{-4,-7,3}

Question 16

16.

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

(i)

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

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

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

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

{8,3,2,9,-9,4,6}

Question 17

17.

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

(i)

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

{}
(iii)

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

Question 18

18.

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

(i)

∩
(ii)

⊃
(iii)

⊇
(iv)

⊂
(v)

⊄

Question 19

19.

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

(i)

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

{7,9,5,2,-7,-3}
(iii)

{-5,7,-7,5,2,-3}
(iv)

{7,-3,-5,9,2,5,-7}
(v)

{3,-3,9,-7,7,2,-5,5}

Question 20

20.

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

(i)

3
(ii)

5
(iii)

1
(iv)

4
(v)

6

Question 21

21.

Which of the following symbols represent the set of Real numbers ?

(i)

N
(ii)

R
(iii)

W
(iv)

Q
(v)

Z

Question 22

22.

Which of the following is 'complement' symbol?

(i)

⊇
(ii)

⊅
(iii)

'
(iv)

⊄
(v)

⊆

Question 23

23.

If A = {11,6,9,4,2,8,0} and B = {6,7,11,3,8,12,4} , then A ∩ B =

(i)

{8,11,6,4}
(ii)

{18,6,4,8,11}
(iii)

{6,0,4,11,8}
(iv)

{12,6,4,8,7,11}
(v)

{6,8,4,7,11}

Question 24

24.

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

(i)

12
(ii)

10
(iii)

13
(iv)

8
(v)

11

Question 25

25.

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

(i)

{}
(ii)

{3,5}
(iii)

{3}
(iv)

{2}
(v)

{1}

Assignment Key