EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Sets
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If μ = {-5,-2,5,-3,-7,3,-1,1,-8,-4,-9,9,7,-6}, A = {-5,-2,5,-3,-7,3} and B = {-1,1,-8,5}, find (A − B)'
(i)
{7,-4,-8,-6,-9,-1,5,9,1}
(ii)
{}
(iii)
{-4,7,5,9,-8,-1,-6,-9}
Question
2
2.
If A = {1,-6,6,-8,0}, then n(A) = ?
(i)
2
(ii)
4
(iii)
6
(iv)
7
(v)
5
Question
3
3.
If A = {0,2,5,7} and B = {10,6,9,7} , then A − B =
(i)
{5,0,2,7}
(ii)
{14,0,5,2}
(iii)
{2,5}
(iv)
{9,6,10}
(v)
{5,2,0}
Question
4
4.
If μ = {9,14,-6,-8,-1,8,-3,-7,0,7,11,6,2,-5,5,15,13,10,-9,-4,4,-2,3},A = {9,14,-6,-8,-1,8,-3,-7}, B = {0,7,11,6,9,2,-8,-5,5}, C = {5,14,8,-1,15,13,-3}, find C − (A ∩ (B ∩ C))
(i)
{13,8,14,15,-1,-3}
(ii)
{13,8,14,15,-1,5,-3}
(iii)
{13,8,14,15,-1,5}
(iv)
{13,8,14,15,-1,5,-3,9}
(v)
{13,8,14,15,-1,5,9}
Question
5
5.
Given 5 sets A =
{1,10,9,7}
, B =
{10,7,1,9}
,
C =
{8,6,4,1,7,2,9}
,
D =
{16,11,19,12,14,17,13}
and E =
{6,7,4,2,3,5,1,8,9,10}
,
which of the following are true?
a)
C = D
b)
A ↔ C
c)
A ⊂ C
d)
A = B
e)
C ↔ D
(i)
{b,e}
(ii)
{c,a,d}
(iii)
{d,e}
(iv)
{a,d}
(v)
{b,e,d}
Question
6
6.
Which of the following is 'minus' symbol?
(i)
∪
(ii)
⊇
(iii)
⊂
(iv)
⊄
(v)
−
Question
7
7.
If A = {1,8,0,12,2,4} , B = {12,5,15,8,10,11} and C = {8,7,0,1,10,6}, then B ∩ (C ∩ A) =
(i)
{8}
(ii)
{8,6}
(iii)
{8,2}
(iv)
{8,11}
(v)
{20,8}
Question
8
8.
Which of the following is a singleton set?
(i)
{-2,3}
(ii)
{8,7,-2,5,-6}
(iii)
{-5}
(iv)
{-2,-8,-5}
(v)
{5,-6,-2,-3}
Question
9
9.
If μ = {11,-7,-4,-2,3,-5,6,9,-1,0,13,8,7,10,16,12,5,-3,-8,-9,-6,14,4},A = {11,-7,-4,-2,3,-5,6,9,-1}, B = {3,9,0,13,8,7,-7,11,-2,10}, C = {11,16,12,5,-5,8}, find B'
(i)
{-5,-1,6,-6,-8,12,-3,4,-9,16,14,5,3}
(ii)
{-5,-1,6,-6,-8,12,-3,4,-9,16,-4,14,5}
(iii)
{-5,-1,6,-6,-8,12,-3,4,-9,16,-4,14,5,3}
(iv)
{-5,-1,6,-6,-8,12,-3,4,-9,16,14,5}
(v)
{-5,-1,6,-6,-8,12,-3,4,-9,16,-4,14}
Question
10
10.
If μ = {-6,-9,15,4,11,5,-5,8,10,-4,7,-2,12,-7,-3,2,13,14,-1,9,0},A = {-6,-9,15,4,11,5}, B = {-5,8,10,-4,11,4,7,-2}, C = {-6,11,15,12,-7,-3,4,-9,7,2}, find (A ∩ B) ∪ (A ∩ C)
(i)
{4,15,-9,-6,11}
(ii)
{4,15,-9,-6,11,5}
(iii)
{4,15,-9,-6,5}
(iv)
{15,-9,-6,11}
(v)
{4,15,-9,-6}
Question
11
11.
If μ = {-9,-7,-3,14,3,16,13,8,-6,-2,1,-1,10,-5,-4,12,7,9,17,6,11,0,5,-8},A = {-9,-7,-3,14,3,16,13,8,-6}, B = {-2,1,3,-1,-3,10,14}, C = {-5,-4,3,12,8,-2,7,-7,-3,9}, find C'
(i)
{10,14,13,-1,5,16,-6,11,-8,17,-9,1,0,6,12}
(ii)
{10,14,13,-1,5,16,-6,11,-8,17,-9,1,0}
(iii)
{10,14,13,-1,5,16,-6,11,-8,17,-9,1,0,6}
(iv)
{10,14,13,-1,5,16,-6,11,-8,17,-9,1,0,12}
(v)
{10,14,13,-1,5,16,11,-8,17,-9,1,0,6}
Question
12
12.
If A ⊂ B, then which of the following are true?
a)
B ⊃ A
b)
B ⊂ A
c)
A' = B
d)
A = B
e)
A' ⊂ B
(i)
{c,a}
(ii)
{d,e,a}
(iii)
{b,a}
(iv)
{a}
Question
13
13.
If A = {13,6,2,12,9} and B = {12,3,7,14,1} , then A ∪ B =
(i)
{9,12,14,6,7,3,13,2,1}
(ii)
{13,14,9,2,16,1,6,12,3}
(iii)
{13,1,9,12,3,2,6,7}
(iv)
{3,2,13,9,16,14,7,6,1,12}
(v)
{1,6,12,2,7,14,13,3}
Question
14
14.
If μ = {-2,8,2,11,-9,0,-8,-7,7,3,-5,9,-6,4,1,10,-4,12,-3},A = {-2,8,2,11,-9,0,-8}, B = {2,-7,-9,7,0,3,-5,9}, C = {-7,-6,8,0,11,4}, find A ∩ (B ∪ C)
(i)
{11,2,8,-9,0,-7}
(ii)
{11,2,8,-9,-7}
(iii)
{11,2,-9,0,1}
(iv)
{11,2,8,-9}
(v)
{11,2,8,-9,0}
Question
15
15.
If μ = {3,0,-1,-9,-6,-5,-2,9,5,-8,-3,1,2}, A = {3,0,-1,-9,-6,-5} and B = {3,-2,9}, find B
(i)
{3,9,5,-2}
(ii)
{-2,9}
(iii)
{-2,3,-8}
(iv)
{3,9}
(v)
{3,-2,9}
Question
16
16.
Which of the following is a null set?
(i)
{empty}
(ii)
{∅}
(iii)
{o}
(iv)
∅
(v)
{0}
Question
17
17.
Which of the following is the power set of A =
{6,8}
?
(i)
{
{}
{6}
}
(ii)
{
{}
{6}
{8}
{6,8}
{5}
}
(iii)
{
{}
{6}
{8}
{6,8}
}
(iv)
{8,5,6}
(v)
{
{}
{6}
{8}
}
Question
18
18.
If μ = {13,-3,12,-6,9,14,3,11,-5,1,-7,-9,4,-2,8,0,5,-1,7,-4,-8},A = {13,-3,12,-6,9,14}, B = {3,11,-3,-5,1,-7,-9,4,-2}, C = {-3,-7,14,12,13,4,1,9}, find (C ∪ A)'
(i)
{11,7,-8,-5,0,8,-4,-9,3,5,-1}
(ii)
{11,7,-8,-5,0,8,-4,-9,-2,3,5,-1,12}
(iii)
{11,7,-8,-5,0,8,-4,-9,3,5,-1,12}
(iv)
{11,7,-8,-5,0,-4,-9,-2,3,5,-1}
(v)
{11,7,-8,-5,0,8,-4,-9,-2,3,5,-1}
Question
19
19.
Given sets A, B and C, where A ⊂ B ⊂ C, which of the following are true?
a)
B ⊃ A
b)
C ⊂ A
c)
∅ ⊂ B
d)
C ⊃ B
e)
B ⊂ A
(i)
{e,c}
(ii)
{a,c,d}
(iii)
{b,a,c}
(iv)
{b,e,d}
(v)
{b,a}
Question
20
20.
If A = {12,14,3,9,4} and B = {12,2,7,8,4} , then A − B =
(i)
{3,4,14,9}
(ii)
{3,18,14,9}
(iii)
{7,8,2}
(iv)
{3,14,9}
(v)
{9,3}
Question
21
21.
If A = {10,9,2} , B = {6,3,13} and C = {4,0,12} , then C ∪ (A ∪ B) =
(i)
{12,3,2,16,6,13,0,4,10,9}
(ii)
{13,0,3,2,10,9,4,12}
(iii)
{10,0,6,12,3,9,2,4,13}
(iv)
{4,12,0,13,2,10,6,3}
(v)
{6,12,13,9,4,3,10,2}
Question
22
22.
If A = {14,12,11,6,1} and B = {15,4,7,10,1} , then B − A =
(i)
{4,1,7,15,10}
(ii)
{4,10,15,7}
(iii)
{10,18,7,15,4}
(iv)
{}
(v)
{10,4,7}
Question
23
23.
If μ = {-5,-2,-6,-7,-8,-1,10,5,7,3,2,4,8,13,1,-4,9,-3,6,0,11,-9},A = {-5,-2,-6,-7,-8,-1}, B = {10,-6,5,7,3,2,4,-7}, C = {8,-6,13,1,-8,2,5,-2}, find A ∩ B ∩ C
(i)
{9}
(ii)
{6}
(iii)
{-6,9}
(iv)
{}
(v)
{-6}
Question
24
24.
Which of the following is 'subset' symbol?
(i)
∩
(ii)
⊆
(iii)
⊂
(iv)
∪
(v)
⊃
Question
25
25.
Which of the following is 'not a superset' symbol?
(i)
∪
(ii)
⊅
(iii)
∩
(iv)
↔
(v)
∈
Assignment Key
1) (i)
2) (v)
3) (v)
4) (ii)
5) (iii)
6) (v)
7) (i)
8) (iii)
9) (ii)
10) (i)
11) (iii)
12) (iv)
13) (i)
14) (v)
15) (v)
16) (iv)
17) (iii)
18) (v)
19) (ii)
20) (iv)
21) (iii)
22) (ii)
23) (v)
24) (iii)
25) (ii)
