EduSahara™ Worksheet

Question 1

1.

Find n(A)

(i)

8
(ii)

5
(iii)

7
(iv)

3
(v)

6

Question 2

2.

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

(i)

Q
(ii)

N
(iii)

W
(iv)

Z
(v)

Q'

Question 3

3.

Which of the following is 'belongs to' symbol?

(i)

⊇
(ii)

∈
(iii)

⊃
(iv)

⊆
(v)

∪

Question 4

4.

Which of the following is a subset of A = {5,4,8,1,6,9}?

(i)

{6,9,5,8,3,4}
(ii)

{1,6,9,3}
(iii)

{1,9,6}
(iv)

{6,1,10,0,9}
(v)

{0,3,10}

Question 5

5.

Which of the following are true?

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

(i)

{a,c}
(ii)

{b,e,c}
(iii)

{d,a,c}
(iv)

{c,e}
(v)

{b,e}

Question 6

6.

A ∩ B
=

(i)

{-7}
(ii)

{0,9}
(iii)

{5}
(iv)

{12}
(v)

{}

Question 7

7.

Which of the following is 'intersection' symbol?

(i)

∩
(ii)

↔
(iii)

⊃
(iv)

⊇
(v)

∉

Question 8

8.

If A = {5,10,1,13,0} and B = {12,9,0,3,15} , then A ∪ B =

(i)

{13,0,3,9,10,12,5,15}
(ii)

{0,12,5,10,16,13,15,1,9}
(iii)

{0,15,1,9,12,10,17,13,5,3}
(iv)

{5,0,15,1,12,9,13,10}
(v)

{5,3,13,1,0,12,10,9,15}

Question 9

9.

If A = {3,1,0} and B = {1,0,4} , then A ∪ B =

(i)

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

{4,3,1}
(iii)

{}
(iv)

{3,4,1,9,0}
(v)

{0,10,3,1}

Question 10

10.

Which of the following is a subset of set A = {5,-2,4,-8,-7}?

(i)

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

{∅}
(iii)

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

μ
(v)

{-7,2,-2,5,-8,4}

Question 11

11.

Which of the following is 'complement' symbol?

(i)

⊄
(ii)

↔
(iii)

⊅
(iv)

∉
(v)

'

Question 12

12.

A ∪ B
=

(i)

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

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

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

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

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

Question 13

13.

Find n(A ∩ μ)

(i)

4
(ii)

6
(iii)

5
(iv)

1
(v)

3

Question 14

14.

Which of the following is not a superset of A = {3,9,4,8,5,1}?

(i)

{9,1,6,3,4,8,5}
(ii)

{5,8,3,4,0,9,1}
(iii)

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

{3,4,5,1,7,9,8}
(v)

{3,8,5,6,9,1}

Question 15

15.

Which of the following is equivalent set of A = {0,7,-5,-2}?

(i)

{-3,6}
(ii)

{-8,3,-4,6,-5}
(iii)

{-8,3,-4,6}
(iv)

{0,7,-2}
(v)

{-6,8,6,-2,1,4}

Question 16

16.

Which of the following is a singleton set?

(i)

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

{-6,-9}
(iii)

{6,2,-5}
(iv)

{-1,9,3,-5}
(v)

{-7}

Question 17

17.

Which of the following are true?

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

(i)

{b,d,a}
(ii)

{b,a}
(iii)

{c,d}
(iv)

{a,d}
(v)

{e,f,a}

Question 18

18.

Which of the following is a subset of A = {9,6,11,2,8,10,12,14}?

(i)

{10,8,12,1}
(ii)

{7,1,10,8,12}
(iii)

{2,10,14,7,11,6,8,12}
(iv)

{7,0,1}
(v)

{12,10,8}

Question 19

19.

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

(i)

{8,-9,3,-6,-2,9}
(ii)

{3,-2,8,-9}
(iii)

{-2,-9,-5,8,9}
(iv)

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

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

Question 20

20.

Find A ∩ A

(i)

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

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

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

{-7,2,7,0,5}
(v)

{5,3,2,-10}

Question 21

21.

If A = {15,8,0,1,13} and B = {5,11,2,14,13} , then B − A =

(i)

{11,14,2,13,5}
(ii)

{14,2,5,11}
(iii)

{20,11,14,5,2}
(iv)

{}
(v)

{14,2,11}

Question 22

22.

Which of the following is 'superset' symbol?

(i)

⊄
(ii)

⊃
(iii)

∩
(iv)

↔
(v)

⊅

Question 23

23.

What is the cardinality of an empty set?

(i)

4
(ii)

2
(iii)

5
(iv)

0

Question 24

24.

Find A ∪ A

(i)

{1,0,5,-2}
(ii)

{-2,0}
(iii)

{-6,2,-1}
(iv)

{3,2}
(v)

{-1,2}

Question 25

25.

If A = {8,-8,6,-3,-9,3} and μ = {8,-8,6,-3,-9,3,7,5,-5,-7}, find A ∪ ∅

(i)

{-9,8,-3,3,6}
(ii)

{8,3,6,-9,-3,-8}
(iii)

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

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

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

Assignment Key