EduSahara™ Worksheet

Question 1

1.

If A = {-6,6,-7,0,1}, then n(A) = ?

(i)

6
(ii)

5
(iii)

3
(iv)

8
(v)

4

Question 2

2.

If A = {3,0,1,7,10,8,4} and B = {5,15,0,3,12,2,13} , then A ∩ B =

(i)

{3,18,0}
(ii)

{0,15,3}
(iii)

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

{3,7,0}
(v)

{0,3}

Question 3

3.

If A = {6,1,13,14,3} and B = {6,13,7,14,2} , then A ∪ B =

(i)

{19,2,7,13,6,14,3,1}
(ii)

{14,6,2,1,16,13,3}
(iii)

{2,7,3,13,1,14}
(iv)

{1,2,13,7,3,6,14}
(v)

{2,3,14,6,13,7}

Question 4

4.

Which of the following elements does not belong to the set {g,x,m,z,h}

(i)

z
(ii)

j
(iii)

x
(iv)

g
(v)

m

Question 5

5.

If A = {15,8,14,4,11,12,5} and B = {2,12,6,15,13,14,0} , then B ∩ A =

(i)

{14,15,12}
(ii)

{15,12,16,14}
(iii)

{14,5,0,15,12}
(iv)

{14,0,12,15}
(v)

{14,5,12,15}

Question 6

6.

For any two non-empty sets A and B, which of the following are true?

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

(i)

{b,a}
(ii)

{d,b,a}
(iii)

{c,e,a}
(iv)

{c,e}
(v)

{a,e}

Question 7

7.

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

(i)

3
(ii)

2
(iii)

1
(iv)

5
(v)

0

Question 8

8.

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

(i)

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

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

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

{10,-3,-4,-5,-7,4}
(v)

{6,-3,-9,-5,4,-4}

Question 9

9.

Which of the following is a null set?

(i)

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

{9,2}
(iii)

{}
(iv)

{-3,8,2}
(v)

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

Question 10

10.

Which of the following is a singleton set?

(i)

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

{2,7,8,5,0}
(iii)

{6,3,7}
(iv)

{-6}
(v)

{7,1}

Question 11

11.

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

(i)

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

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

{-5,6,-9,3,-7,1}
(iv)

{-7,2,-5,-2,6,-9,5}
(v)

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

Question 12

12.

If A = {1,3,8,6} and B = {4,10,0,5} , then A ∪ B =

(i)

{6,5,1,8,3,4,10,0}
(ii)

{0,5,1,3,11,4,10,8,6}
(iii)

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

{3,4,5,10,0,8,1}
(v)

{5,4,3,1,6,10,8,11}

Question 13

13.

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

(i)

{8,4,3}
(ii)

{3,1,8}
(iii)

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

{8,13,3}
(v)

{8,3}

Question 14

14.

If A = {-5,4,-3,9,8,5} and μ = {-5,4,-3,9,8,5,-9,-6,-4,0}, find A ∪ μ

(i)

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

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

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

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

{}

Question 15

15.

Which of the following elements does not belong to the set {8,6,5,9,10}?

(i)

8
(ii)

10
(iii)

6
(iv)

2
(v)

9

Question 16

16.

If A = {-6,-8,-7} and μ = {-6,-8,-7,6,-9}, find A ∩ ∅

(i)

{1}
(ii)

{}
(iii)

{-1}
(iv)

{-1,2}
(v)

{0}

Question 17

17.

If μ = {-8,7,4,0,-2,-5,9,-7,8,10,-1,-6,5,3,-3,2,-4,6}, A = {-8,7,4,0,-2,-5,9} and B = {4,9,-7,8,-8,10,-1}, find n(A)

(i)

6
(ii)

9
(iii)

7
(iv)

4
(v)

8

Question 18

18.

What is the cardinality of an empty set?

(i)

2
(ii)

0
(iii)

4
(iv)

6
(v)

1

Question 19

19.

If A = {4,7,9,10} and B = {2,1,6,5} , then B ∪ A =

(i)

{2,5,10,9,4,7,1}
(ii)

{14,5,1,10,9,7,6,2,4}
(iii)

{1,2,9,6,5,10,7,4}
(iv)

{6,1,4,2,10,9,5}
(v)

{14,9,5,2,7,6,4,10}

Question 20

20.

Which of the following is 'belongs to' symbol?

(i)

⊆
(ii)

∈
(iii)

∩
(iv)

⊄
(v)

⊅

Question 21

21.

If A = {6,-1,-4,0,3} and μ = {6,-1,-4,0,3,4,5,-6}, find A ∪ ∅

(i)

{0,-4,-1,6,3}
(ii)

{}
(iii)

{4,7,-4,6,0}
(iv)

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

{-1,3,-4,6,4,1,0}

Question 22

22.

Which of the following sets have same cardinality?

a)

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

b)

{-2,3,-3,6,9,5,7}

c)

{4,-2,-1,6}

d)

{-4,6,1,-7,5}

e)

{9,8,5,0,-2}

(i)

{a,d}
(ii)

{c,a,d}
(iii)

{b,e,d}
(iv)

{b,e}
(v)

{d,e}

Question 23

23.

If A = {7,5,9} and B = {7,0,10} , then A ∩ B =

(i)

{13,7}
(ii)

{7,5}
(iii)

{10,7}
(iv)

{7}
(v)

{7,0,10}

Question 24

24.

Which of the following is an infinite set?

(i)

{}
(ii)

{0,1,2,3,4,5,...}
(iii)

{0,8,2}
(iv)

{9,-4}
(v)

{-5}

Question 25

25.

Which of the following is 'does not belongs to' symbol?

(i)

∩
(ii)

⊂
(iii)

∪
(iv)

⊇
(v)

∉

Assignment Key