EduSahara™ Worksheet

Question 1

1.

Which of the following are true?

a)	(A ∩ B) ∩ C = A ∩ (B ∩ C)
b)	A ∩ (B ∪ C) = (A ∪ B) ∩ (A ∪ C)
c)	A ∪ (B ∩ C) = (A ∩ B) ∪ (A ∩ C)
d)	A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)
e)	(A ∪ B) ∪ C = A ∪ (B ∪ C)
f)	A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

(i)

{c,d}
(ii)

{b,f,a}
(iii)

{b,a}
(iv)

{a,d,e,f}
(v)

{b,c,e}

Question 2

2.

If A = {3,6,7,9} and B = {5,2,9,1} , then B ∪ A =

(i)

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

{9,1,6,2,7,5,3}
(iii)

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

{9,11,3,2,5,1,7,6}
(v)

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

Question 3

3.

If A = {0,1,3} and B = {0,3,2} , then B ∪ A =

(i)

{10,1,0,2,3}
(ii)

{0,1,3}
(iii)

{3,1,0,2}
(iv)

{3,6,2,0}
(v)

{3,1,2}

Question 4

4.

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

(i)

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

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

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

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

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

Question 5

5.

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

(i)

{}
(ii)

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

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

Question 6

6.

If A and B are disjoint sets, which of the following are true?

a)	A ⊂ B
b)	A ∩ B = A
c)	B ⊂ A
d)	A ∩ B= ∅
e)	A ∪ B = A

(i)

{d}
(ii)

{c,e,d}
(iii)

{b,d}
(iv)

{a,d}

Question 7

7.

If A = {0,9,7,-9,-8,8,-3,-4,1}, then n(A) = ?

(i)

12
(ii)

8
(iii)

6
(iv)

10
(v)

9

Question 8

8.

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

(i)

{3,-3,-6,2,0,5}
(ii)

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

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

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

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

Question 9

9.

Which of the following is 'superset' symbol?

(i)

⊇
(ii)

∈
(iii)

∩
(iv)

⊃
(v)

⊂

Question 10

10.

Which of the following is not a superset of A = {5,6,3,7,4}?

(i)

{3,6,7,5,4}
(ii)

{9,7,5,6,4,3}
(iii)

{6,7,5,9,3}
(iv)

{3,1,7,5,4,6}
(v)

{5,6,8,3,4,7}

Question 11

11.

Which of the following elements does not belong to the set {9,7,10,1,4}?

(i)

4
(ii)

10
(iii)

9
(iv)

1
(v)

3

Question 12

12.

If A = {4,10,3,2,0} and B = {6,4,3,5,7} , then A ∩ B =

(i)

{14,3,4}
(ii)

{4,7,10,3}
(iii)

{0,4,3}
(iv)

{3,7,4}
(v)

{3,4}

Question 13

13.

Which of the following is not a subset of A = {1,9,6,8,4,5}?

(i)

{1,9,6,8,4,5}
(ii)

{4,5,8,6}
(iii)

{6,4,5,2,8}
(iv)

{4,9,8,1,6}
(v)

{5,6,8,1,4}

Question 14

14.

Which of the following are true?

a)	A ∩ A' = A
b)	A ∪ A' = μ
c)	A ∪ A' = ∅
d)	A ∩ A' = ∅
e)	A ∩ A' = μ
f)	A ∪ A' = A

(i)

{a,b}
(ii)

{a,d,b}
(iii)

{c,d}
(iv)

{e,f,b}
(v)

{b,d}

Question 15

15.

If A = {10,9,6} and B = {6,9,10} , then B ∩ A =

(i)

{10,11,9,6}
(ii)

{10,9,6}
(iii)

{10,9,6,0}
(iv)

{}

Question 16

16.

Which of the following is a null set?

(i)

{empty}
(ii)

∅
(iii)

{0}
(iv)

{o}
(v)

{∅}

Question 17

17.

Which of the following is not equal to set A = {8,0,1,5,6,9}?

(i)

{6,5,8,0,1,9}
(ii)

{8,5,9,0,1,6}
(iii)

{1,10,8,5,9,0}
(iv)

{5,6,0,1,9,8}
(v)

{0,6,8,5,9,1}

Question 18

18.

If A = {10,6,4,13,7,5} and B = {0,14,11,10,13,5} , then A − B =

(i)

{7,6,4,19}
(ii)

{4,6,7}
(iii)

{6,4}
(iv)

{6,4,13,7}
(v)

{11,0,14}

Question 19

19.

If A = {9,3,14,4,7,1,15} and B = {7,9,5,2,12,1,8} , then A ∩ B =

(i)

{1,7,2,8,9}
(ii)

{1,7,9,2}
(iii)

{1,15,9,7}
(iv)

{9,7,1}
(v)

{9,1,17,7}

Question 20

20.

Which of the following are disjoint sets?

(i)
{4,14,13,7,20}

,

{}
(ii)
{}

,

{4,14,13,7,20}
(iii)
{4,14,13,7,20}

,

{11,8,18,15,20,7}
(iv)
{4,14,13,7,20}

,

{4,14,13,7,20}
(v)
{4,14,13,7}

,

{11,8,18,15}

Question 21

21.

If A = {1,11,15,10,13,14,4} and B = {1,9,0,7,10,3,15} , then B ∩ A =

(i)

{15,10,1}
(ii)

{1,10,15,3}
(iii)

{1,15,9,10,4}
(iv)

{15,17,1,10}
(v)

{15,1,10,4}

Question 22

22.

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

(i)

⊄
(ii)

∩
(iii)

∪
(iv)

∉
(v)

⊇

Question 23

23.

If A = {6,5,4,2} and B = {9,4,1,2} , then B − A =

(i)

{9}
(ii)

{11,9,1}
(iii)

{}
(iv)

{4,9,1}
(v)

{9,1}

Question 24

24.

Which of the following is equal to set A = {9,1,0,-3,4,-9}?

(i)

{4,-9,9,-3,1,0}
(ii)

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

{3,-2,7,-8,-7,-6}
(iv)

{-8,1,-4,2,-5}
(v)

{-1,-9,2,1,-3,-8,8}

Question 25

25.

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

(i)

{-2,5,-6,2}
(ii)

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

{-2,-6}
(iv)

{-6,2,5}
(v)

{}

Assignment Key