EduSahara™ Worksheet

Question 1

1.

If A = {11,12,7,5,9,13,8} and B = {0,15,13,10,14,3,1} , then B ∩ A =

(i)

{13,14}
(ii)

{13,7,8}
(iii)

{13,17}
(iv)

{13}
(v)

{13,7}

Question 2

2.

If A ⊂ B, then which of the following are true?

a)	A − B = B
b)	A ∪ B = ∅
c)	A − B = ∅
d)	B − A = A
e)	B − A = B

(i)

{c}
(ii)

{d,e,c}
(iii)

{b,c}
(iv)

{a,c}

Question 3

3.

Which of the following is 'superset' symbol?

(i)

∉
(ii)

⊃
(iii)

⊄
(iv)

⊂
(v)

⊆

Question 4

4.

If A = {6,2,5,-2} and μ = {6,2,5,-2,-8,-6,-1}, find A ∪ A'

(i)

{0,-1,-2,6,5,-8,4,-6,2}
(ii)

{-8,-1,2,-2,6,-6}
(iii)

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

{-2,-3,2,-1,5,6,-6}
(v)

{5,-2,-1,2,-8,6,-6}

Question 5

5.

Given sets A, B and C, where A ⊂ B ⊂ C, which of the following are true?

a)	B ⊂ A
b)	∅ ⊂ B
c)	C ⊃ B
d)	B ⊃ A
e)	C ⊂ A

(i)

{b,c,d}
(ii)

{a,b,c}
(iii)

{e,c}
(iv)

{a,b}
(v)

{a,e,d}

Question 6

6.

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

(i)

{-6,6,0,3,-7,10,5,8,12,-5}
(ii)

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

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

{-6,6,0,-7,10,5,8,12,-4}
(v)

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

Question 7

7.

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

(i)

{3,8,7,-9,-3,-1}
(ii)

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

{8,5,-1,2,-9,-3,7}
(iv)

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

{}

Question 8

8.

Which of the following is 'belongs to' symbol?

(i)

∉
(ii)

∪
(iii)

⊂
(iv)

∩
(v)

∈

Question 9

9.

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

(i)

{8,-9,15,12,13,-1,-2,-7,-3,16,0,5,4,3,7,9,-5,1,-8,-4,6}
(ii)

{8,-9,15,12,13,-1,-2,10,-7,-3,16,0,5,4,3,7,9,-5,1,-8,-4}
(iii)

{-9,15,12,13,-1,-2,10,-7,-3,16,0,5,4,3,7,9,-5,1,-8,-4}
(iv)

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

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

Question 10

10.

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

(i)

5
(ii)

4
(iii)

2
(iv)

7
(v)

3

Question 11

11.

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

(i)

↔
(ii)

⊃
(iii)

⊄
(iv)

∩
(v)

⊅

Question 12

12.

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

(i)

{}
(ii)

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

{-5,0,3,-4,4,1,9,6}
(iv)

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

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

Question 13

13.

If A = {7,6,15,9,11,0} and B = {1,15,2,12,13,0} , then B − A =

(i)

{1,12,13}
(ii)

{}
(iii)

{13,2,1,12,15}
(iv)

{12,20,2,13,1}
(v)

{2,13,1,12}

Question 14

14.

Which of the following is the power set of A =
{6}
?

(i)

{
{}

{6}
}
(ii)

{ }
(iii)

{0,6}
(iv)

{
{6}
}

Question 15

15.

Which of the following is a subset of set A = {-3,-2,-7,-9,-1}?

(i)

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

∅
(iii)

μ
(iv)

{∅}
(v)

{-3,-2,5,-1,-9,-7}

Question 16

16.

Which of the following is a proper subset of A = {2,3,1}?

(i)

{3,2}
(ii)

{3,5}
(iii)

{2,0}
(iv)

{2,3,1}
(v)

{4,1,3}

Question 17

17.

Which of the following is equivalent set of A = {5,8,6}?

(i)

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

{-2}
(iii)

{5,6}
(iv)

{-7,-6,4,1,-3}
(v)

{-2,-7,-9,8}

Question 18

18.

If μ = {-5,11,-1,-3,7,3,2,16,-7,-8,15,-6,10,-4,18,9,4,-2,5,14,-9,1,8,6,17},A = {-5,11,-1,-3,7,3,2,16,-7,-8}, B = {-8,15,-3,-6,-1,7,-5,10}, C = {-3,-4,18,2,15,-6,-7,9,10,4}, find C − (A ∩ (B ∩ C))

(i)

{4,15,2,18,10,-7,9,-4,-6,1}
(ii)

{4,15,2,18,10,9,-4,-6,1}
(iii)

{4,15,2,18,10,9,-4,-6}
(iv)

{4,15,2,18,-7,9,-4,-6}
(v)

{4,15,2,18,10,-7,9,-4,-6}

Question 19

19.

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

(i)

{0,8,-6,6,9}
(ii)

{-6,0,9,6,-9,8}
(iii)

{}
(iv)

{6,0,8,-6,-9}

Question 20

20.

If A = {14,0,12} , B = {14,12,1} and C = {9,8,1} , then C ∪ (A ∪ B) =

(i)

{}
(ii)

{9,8,12,1,14}
(iii)

{12,14,0,1,8,9}
(iv)

{1,8,14,12,0,16,9}

Question 21

21.

Which of the following is 'minus' symbol?

(i)

⊅
(ii)

−
(iii)

∩
(iv)

⊄
(v)

∪

Question 22

22.

If A = {6,10,5,8,7} and B = {1,2,8,5,7} , then B ∩ A =

(i)

{7,14,5,8}
(ii)

{2,8,7,5}
(iii)

{7,8,5}
(iv)

{8,10,6,7,5}
(v)

{8,7,6,5}

Question 23

23.

If A = {14,15,5,7,8} and B = {13,14,12,0,5} , then B ∪ A =

(i)

{5,12,18,14,15,13,7,0,8}
(ii)

{7,5,13,12,16,14,0,8}
(iii)

{5,0,8,13,15,14,7}
(iv)

{0,14,7,13,5,8,15,12}
(v)

{7,12,15,13,0,5,14}

Question 24

24.

If A = {5,3,12,13,2,4,1,0} , B = {4,2,12,1,6,8,15,14} and C = {10,1,8,3,7,6,12,11}, then C ∩ (A ∩ B) =

(i)

{11,1,12}
(ii)

{12,16,1}
(iii)

{1,12,15}
(iv)

{1,12}
(v)

{5,1,12}

Question 25

25.

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

(i)

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

{}
(iii)

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

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

Assignment Key