EduSahara™ Worksheet

Question 1

1.

Find n(B − A)

(i)

(-2)
(ii)

0
(iii)

3
(iv)

2
(v)

1

Question 2

2.

Which of the following is an infinite set?

(i)

{9,7,2}
(ii)

{}
(iii)

{0,1,2,3,4,...}
(iv)

{-9,5}
(v)

{7}

Question 3

3.

Which of the following is 'intersection' symbol?

(i)

⊆
(ii)

⊅
(iii)

∩
(iv)

⊄
(v)

⊇

Question 4

4.

If A = {10,2,5,6,9} and B = {2,15,11,10,9} , then A − B =

(i)

{5}
(ii)

{6,5}
(iii)

{11,15}
(iv)

{9,6,5}
(v)

{5,6,17}

Question 5

5.

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

(i)

5
(ii)

7
(iii)

1
(iv)

3
(v)

4

Question 6

6.

Find n(A)

(i)

5
(ii)

6
(iii)

8
(iv)

3
(v)

7

Question 7

7.

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

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

(i)

{a,d,e}
(ii)

{c,d}
(iii)

{b,c,e}
(iv)

{b,a,d}
(v)

{b,a}

Question 8

8.

Which of the following is 'superset' symbol?

(i)

∈
(ii)

⊄
(iii)

⊃
(iv)

∉
(v)

⊇

Question 9

9.

Which of the following is 'superset or equal to' symbol?

(i)

↔
(ii)

⊇
(iii)

⊅
(iv)

⊆
(v)

∈

Question 10

10.

Find A − B

(i)

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

{4,3,-1,1}
(iii)

{}
(iv)

{9,4,1,5,-1}
(v)

{1,-1,9}

Question 11

11.

Which of the following is 'subset' symbol?

(i)

⊇
(ii)

⊂
(iii)

⊅
(iv)

∈
(v)

⊄

Question 12

12.

Which of the following is 'universal set' symbol?

(i)

⊇
(ii)

∉
(iii)

μ
(iv)

⊃
(v)

∩

Question 13

13.

Which of the following diagrams represent 'A is subset of B'?

(i)

figure 4
(ii)

figure 2
(iii)

figure 3
(iv)

None of the above
(v)

figure 1

Question 14

14.

Find (A − B) ∪ (B − A)

(i)

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

{-3,-6,8,4,-7,6}
(iii)

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

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

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

Question 15

15.

Which of the following is 'null set' symbol?

(i)

∅
(ii)

∉
(iii)

⊂
(iv)

⊇
(v)

⊅

Question 16

16.

Which of the following is 'subset or equal to' symbol?

(i)

∩
(ii)

⊂
(iii)

⊆
(iv)

∈
(v)

⊃

Question 17

17.

Find n(A ∪ A)

(i)

2
(ii)

5
(iii)

3
(iv)

4
(v)

6

Question 18

18.

Find n(A ∩ ∅)

(i)

0
(ii)

(-2)
(iii)

1
(iv)

3
(v)

(-1)

Question 19

19.

Which of the following is a subset of A = {15,5,13,14,1,2,3}?

(i)

{4,6,2}
(ii)

{2,4}
(iii)

{2}
(iv)

{5,2,15,12,3,13,1}
(v)

{12,6,4}

Question 20

20.

If A = {8,15,7,13,14,3} and B = {9,15,7,2,4,3} , then B − A =

(i)

{}
(ii)

{2,4}
(iii)

{4,2,16,9}
(iv)

{4,2,9}
(v)

{4,9,2,7}

Question 21

21.

Which of the following are true?

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

(i)

{a,b}
(ii)

{b,e}
(iii)

{d,f,b}
(iv)

{a,e,b}
(v)

{c,e}

Question 22

22.

Find n(A ∪ B)

(i)

9
(ii)

5
(iii)

7
(iv)

6
(v)

3

Question 23

23.

What is the cardinality of an empty set?

(i)

0
(ii)

1
(iii)

4
(iv)

3

Question 24

24.

Find n(A ∪ μ)

(i)

5
(ii)

11
(iii)

9
(iv)

7
(v)

8

Question 25

25.

Which of the following is 'minus' symbol?

(i)

⊅
(ii)

−
(iii)

∈
(iv)

∩
(v)

∉

Assignment Key