EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Sets
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If μ = {7,-5,-1,-9,0,-6,5,9,4,3,8,1}, A = {7,-5,-1} and B = {7,-5,-9,0,-6,-1,5}, find (B − A)'
(i)
{3,9,-5,8,1,-1,7}
(ii)
{}
(iii)
{9,8,4,1,-5,3,7}
(iv)
{3,7,1,8,-1,-5,9,4}
(v)
{8,-1,4,1,-5,9,3}
Question
2
2.
If μ = {5,0,9,-2,-4,-7,-9,1,-5,-1,-6,-8,7,3,6,2,4}, A = {5,0,9,-2,-4,-7,-9} and B = {1,-5,-2,5,-1,-6}, find (A ∪ B) − (A ∩ B)
(i)
{-9,9,-1,1,-7,-4,-6,-5,0}
(ii)
{0,-9,-7,-6,-1,1,9,-5}
(iii)
{1,0,9,-1,-6,-7,-4,-9}
(iv)
{-4,-5,-9,-1,-6,0,9,1,6}
(v)
{-1,-7,1,-4,9,0,-9,-5,6,-6}
Question
3
3.
If A = {-2,-1,5,4} and μ = {-2,-1,5,4,3,1,-4}, find A ∪ A
(i)
{5,4,-1,-2}
(ii)
{4,-2,2,5,-1,3}
(iii)
{-2,-1,4}
(iv)
{}
(v)
{4,-4,-2,0}
Question
4
4.
If A = {1,7,4,11,12,5,14,13} , B = {15,4,0,2,9,5,3} and C = {0,2,15,8,6,1,3}, then A ∩ (B ∩ C) =
(i)
{9}
(ii)
{}
(iii)
{12}
(iv)
{18}
(v)
{6}
Question
5
5.
If A = {8,0,10,4,1} and B = {4,7,9,1,5} , then B ∩ A =
(i)
{1,4,5}
(ii)
{4,1}
(iii)
{8,1,4}
(iv)
{4,1,12}
(v)
{1,7,4,0}
Question
6
6.
If A = {8,11,13,9,5} and B = {10,13,0,1,6} , then A ∪ B =
(i)
{5,10,9,11,0,13,6,16,1}
(ii)
{8,6,11,13,5,0,9,10,18,1}
(iii)
{5,6,1,11,10,8,0,13}
(iv)
{1,10,0,13,8,6,9,5,11}
(v)
{13,5,11,1,10,6,9,8}
Question
7
7.
Which of the following is the power set of A =
{6,8}
?
(i)
{6,5,8}
(ii)
{
{8}
{6,8}
}
(iii)
{
{}
{8}
{6,8}
}
(iv)
{
{}
{6}
{8}
{6,8}
}
Question
8
8.
For any two non-empty sets A and B, which of the following are true?
a)
A ∪ B = ∅
b)
A ∪ B = B ∪ A
c)
A ∪ B = B ∩ A
d)
A ∩ B = B ∩ A
e)
A ∩ B = B ∪ A
(i)
{c,d}
(ii)
{a,b}
(iii)
{c,d,b}
(iv)
{e,a,b}
(v)
{b,d}
Question
9
9.
If A = {13,8,14,4,1,9,2} and B = {5,15,11,3,14,8,0} , then A ∩ B =
(i)
{5,14,8}
(ii)
{8,14,17}
(iii)
{8,14}
(iv)
{8,9,3,14}
(v)
{14,8,13}
Question
10
10.
Which of the following are true?
a)
A ∩ A' = A
b)
A ∩ A' = μ
c)
A ∩ A' = ∅
d)
A ∪ A' = A
e)
A ∪ A' = ∅
f)
A ∪ A' = μ
(i)
{b,f}
(ii)
{c,f}
(iii)
{a,c}
(iv)
{a,f,c}
(v)
{d,e,c}
Question
11
11.
If μ = {-1,1,-3,8,2,5,6,-5,-6,11,7,12,9,0,10,3,-4,-8,-7,15,4,14},A = {-1,1,-3,8,2,5}, B = {6,-5,-6,-1,8,11,7,-3,12}, C = {7,9,8,2,-1,-6,5,0,12}, find A − (B ∩ C)
(i)
{1,2,5,-3,-8}
(ii)
{1,2,5}
(iii)
{1,2,5,-3}
(iv)
{1,2,-3}
(v)
{1,2,5,-8}
Question
12
12.
If μ = {-1,5,9,-3,-8,2,12,4,-4,3,-6,0,10,-2,-9,-5,13,7,11,6,1,-7},A = {-1,5,9,-3,-8,2,12}, B = {4,5,-4,-1,3,-8,-6,0,10}, C = {-2,-9,2,3,-5,13}, find C − (A ∪ B)
(i)
{-9,-5,13,-2}
(ii)
{-5,13,-2}
(iii)
{-9,13,-2}
(iv)
{-9,-5,13,-2,7}
(v)
{-9,13,-2,7}
Question
13
13.
If μ = {-6,7,-8,1,-4,-7,3,-2,5,-3,-1,0,6}, A = {-6,7,-8,1,-4} and B = {-7,7,3,-6,1}, find n(A' ∩ B')
(i)
4
(ii)
8
(iii)
6
(iv)
7
(v)
5
Question
14
14.
If μ = {2,11,12,6,4,-1,-5,8,3,10,0,-7,1,7,-3,9,-2,-8,5,-6,13},A = {2,11,12,6,4,-1}, B = {-5,8,3,10,2,12,6}, C = {0,-7,1,12,7,-3,8,-5,9}, find (A ∩ B)'
(i)
{1,4,0,-5,9,10,-1,7,-3,13,-2,11,3,5,-8,-6,8,2}
(ii)
{1,4,0,-5,9,10,-1,7,-3,13,-2,11,3,5,-8,-6,8}
(iii)
{1,4,0,-5,9,10,-1,-7,7,-3,13,11,3,5,-8,-6,8}
(iv)
{1,4,0,-5,9,10,-1,-7,7,-3,13,-2,11,3,5,-8,-6,8}
(v)
{1,4,0,-5,9,10,-1,-7,7,-3,13,-2,11,3,5,-8,-6,8,2}
Question
15
15.
If μ = {0,8,7,-4,-2,-6,9,2,-7,5,-3,3,4}, A = {0,8,7,-4,-2,-6} and B = {9,-4,7}, find n(A − B)
(i)
3
(ii)
1
(iii)
5
(iv)
4
(v)
7
Question
16
16.
Which of the following is 'union' symbol?
(i)
⊇
(ii)
⊂
(iii)
∉
(iv)
∪
(v)
∈
Question
17
17.
Which of the following is a subset of A = {11,10,3,8,9}?
(i)
{4,0,7}
(ii)
{10,9,7,3,11}
(iii)
{3,0,8,9,4,11}
(iv)
{8,9,3,11}
(v)
{4,11,8,9,3}
Question
18
18.
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)
{e,b}
(ii)
{d,a,b}
(iii)
{d,a}
(iv)
{d,e,c}
(v)
{a,b,c}
Question
19
19.
Which of the following is an empty set?
(i)
{empty}
(ii)
{∅}
(iii)
{0}
(iv)
{}
(v)
{o}
Question
20
20.
Which of the following is 'subset' symbol?
(i)
∉
(ii)
∈
(iii)
⊆
(iv)
∩
(v)
⊂
Question
21
21.
If μ = {-4,4,9,-3,1,-6,8,-8,6,-5,3,2,5,7,-9}, A = {-4,4,9,-3,1,-6} and B = {8,9,-4,-8,6}, find B'
(i)
{3,-6,-3,-9,7,4,5,1,-5,2}
(ii)
{2,1,-6,-5,3,5,7,-9,-3}
(iii)
{}
Question
22
22.
Which of the following is a subset of set A = {5,2,9,-7,6}?
(i)
{-7,9,5,2,6}
(ii)
{9,8,5,-7,6}
(iii)
{∅}
(iv)
{-9,9,5,6,2,-7}
(v)
μ
Question
23
23.
If μ = {-8,10,-4,-3,-2,1,6,14,9,-5,8,-9,-6,2,12,13,7,11,-1,15,0,4,3},A = {-8,10,-4,-3,-2,1,6,14,9}, B = {-2,10,1,-5,8,-9,-6,2}, C = {12,6,13,9,14,7,10}, find A ∪ B
(i)
{9,-4,-2,8,-3,10,1,6,-9,-5,-8,2,-6,4}
(ii)
{9,-4,-2,8,-3,14,1,6,-9,-5,-8,2,-6}
(iii)
{9,-4,-2,8,-3,10,14,1,6,-9,-5,-8,2,-6,3}
(iv)
{9,-4,-2,8,-3,10,14,1,6,-9,-5,-8,2,-6}
(v)
{9,-4,-2,8,-3,14,1,6,-9,-5,-8,2,-6,3}
Question
24
24.
If A = {-1,7,-9,0} and μ = {-1,7,-9,0,8,-5,-2}, find A ∩ ∅
(i)
{}
(ii)
{0}
(iii)
{-1}
(iv)
{4}
(v)
{2,0}
Question
25
25.
If μ = {3,7,4,1,-3,-7,-9,2,-2,-1,9,10,11,5,8,-6,-5,6,-4,0},A = {3,7,4,1,-3,-7,-9}, B = {2,-2,-7,-1,9,10}, C = {9,11,10,1,-7,7,-9}, find B'
(i)
{8,7,1,6,3,4,-5,-4,5,11,-6,-3,-9}
(ii)
{8,7,0,1,6,3,4,-5,-4,11,-6,-3,-9}
(iii)
{8,7,0,1,6,3,4,-5,-4,5,11,-6,-3,-9,-7}
(iv)
{8,7,0,1,6,3,4,-5,-4,5,11,-6,-3,-9}
(v)
{8,7,0,1,6,3,4,-5,-4,11,-6,-3,-9,-7}
Assignment Key
1) (iv)
2) (i)
3) (i)
4) (ii)
5) (ii)
6) (iv)
7) (iv)
8) (v)
9) (iii)
10) (ii)
11) (iii)
12) (i)
13) (iii)
14) (iv)
15) (iv)
16) (iv)
17) (iv)
18) (v)
19) (iv)
20) (v)
21) (i)
22) (i)
23) (iv)
24) (i)
25) (iv)
