EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Sets
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
If μ = {-8,-6,-7,-4,5,9,2,7,0}, A = {-8,-6,-7} and B = {-4,5,-8,9}, find n(B)
(i)
1
(ii)
5
(iii)
3
(iv)
4
(v)
7
Question
2
2.
If A = {15,13,8} , B = {13,12,10} and C = {15,11,10} , then B ∪ (C ∪ A) =
(i)
{12,15,11,13,8,10}
(ii)
{13,10,8,12,15}
(iii)
{15,10,13,12,18,11,8}
(iv)
{8,10,13,11,15}
(v)
{10,11,12,15,13}
Question
3
3.
If μ = {7,2,-3,-2,3,-5,-9,1,6,-8,5,-4,-7,0}, A = {7,2,-3,-2,3,-5} and B = {2,-9,3,1}, find A' ∩ B'
(i)
{-8,-7,6,5,-4,0}
(ii)
{}
Question
4
4.
Which of the following is an infinite set?
(i)
{-3,-7,5}
(ii)
{}
(iii)
{-1,5}
(iv)
{8}
(v)
{0,1,...}
Question
5
5.
If A = {9,0,15} , B = {14,3,11} and C = {6,2,14,12} , then C ∪ (A ∪ B) =
(i)
{12,6,14,2,0,11,15,9}
(ii)
{15,0,2,18,6,9,11,12,14,3}
(iii)
{14,11,0,2,15,9,3,12,6}
(iv)
{15,11,14,2,12,0,3,6}
(v)
{3,12,2,14,9,15,0,11}
Question
6
6.
If μ = {8,1,5,9,-6,6,-1,-9,-4,-5,-3,0,2,4,-2}, A = {8,1,5,9,-6,6} and B = {-1,-9,-4,-5,-6}, find n((A ∪ B)')
(i)
6
(ii)
5
(iii)
4
(iv)
3
(v)
8
Question
7
7.
If μ = {1,-2,0,7,5,9,6,-9,3,2,-3,-4,-7,4}, A = {1,-2,0,7,5,9,6} and B = {6,-9,5}, find ( (A − B) ∪ (B − A) )'
(i)
{6,-4,3,4,-7,5,-3,2}
(ii)
{-4,-7,4,-3,2,3,6}
(iii)
{}
(iv)
{3,-3,5,-7,4,-4,2}
Question
8
8.
Which of the following is a subset of set A = {0,7,8,-6,-3}?
(i)
∅
(ii)
{-6,7,-3,0,-7,8}
(iii)
μ
(iv)
{7,-5,8,0,-3}
(v)
{∅}
Question
9
9.
Which of the following is 'not a superset' symbol?
(i)
⊄
(ii)
∪
(iii)
⊇
(iv)
∉
(v)
⊅
Question
10
10.
If μ = {8,0,6,1,-3,7,-5,-9,-2,-4,3,-6,9,5}, A = {8,0,6,1,-3,7,-5} and B = {-9,-2,0}, find n((A ∪ B) − (A ∩ B))
(i)
10
(ii)
6
(iii)
8
(iv)
7
(v)
9
Question
11
11.
If A = {3,8,10} and B = {9,8,0} , then B ∩ A =
(i)
{8,14}
(ii)
{8}
(iii)
{8,3}
(iv)
{0,3,8}
(v)
{9,8}
Question
12
12.
Which of the following is 'intersection' symbol?
(i)
⊆
(ii)
⊂
(iii)
⊄
(iv)
∩
(v)
⊇
Question
13
13.
If μ = {2,4,-9,-7,-3,-1,6,-5,1,-2,-8,0,8,3,7,5,-6}, A = {2,4,-9,-7,-3,-1,6} and B = {-3,6,-5,-9,4,1}, find n(A' ∩ B')
(i)
8
(ii)
7
(iii)
9
(iv)
5
(v)
10
Question
14
14.
Which of the following symbols represent the set of Rational numbers ?
(i)
N
(ii)
Z
(iii)
W
(iv)
Q
(v)
R
Question
15
15.
If A = {13,9,2,0,6,11,12,15} , B = {0,10,8,5,12,13,11,3} and C = {4,0,9,11,8,1,6,14}, then B ∩ (C ∩ A) =
(i)
{0,3,11}
(ii)
{19,11,0}
(iii)
{11,0}
(iv)
{11,0,15}
(v)
{0,14,11}
Question
16
16.
If A = {-1,2,7} and μ = {-1,2,7,9,-9}, find A ∩ A
(i)
{0,2,3,-1,7}
(ii)
{8,7,-5}
(iii)
{-1,2}
(iv)
{}
(v)
{-1,7,2}
Question
17
17.
Which of the following is superset of A = {2,1,7,9,3,5}?
(i)
{9,3,5,7,1}
(ii)
{5,1,2,7,3,8}
(iii)
{3,1,2,0,9,5}
(iv)
{5,9,1,7}
(v)
{3,9,6,1,2,5,7}
Question
18
18.
Given 5 sets A =
{6,5,4,3}
, B =
{6,4,5,3}
,
C =
{1,3,2,7,10,4,9}
,
D =
{13,18,14,12,17,11,15}
and E =
{2,7,6,9,1,3,4,5,8,10}
,
which of the following are true?
a)
A ⊂ C
b)
C ↔ D
c)
A ↔ C
d)
A = B
e)
C = D
(i)
{e,a,b}
(ii)
{b,d}
(iii)
{c,d}
(iv)
{a,b}
(v)
{c,d,b}
Question
19
19.
If μ = {-1,9,-9,-2,5,7,8,-5,4,6,3,1,-4,-8}, A = {-1,9,-9,-2,5} and B = {7,8,-5,-1,4,-2}, find B'
(i)
{9,-8,-9,5,6,-4,1}
(ii)
{3,6,9,5,-4,1,-8}
(iii)
{1,9,5,6,-9,3,-4,-8}
(iv)
{}
Question
20
20.
If μ = {0,-6,-7,9,-3,4,3,-1,6,-9,7,5,-8,-2,1,-5,2}, A = {0,-6,-7,9,-3,4,3} and B = {3,-1,6,-7,-9,9}, find n(B' ∩ A')
(i)
7
(ii)
4
(iii)
10
(iv)
8
(v)
6
Question
21
21.
Which of the following is not a superset of A = {3,0,7,5}?
(i)
{3,5,6,0}
(ii)
{3,7,0,5}
(iii)
{5,1,7,0,3}
(iv)
{0,7,5,9,3}
(v)
{7,6,3,0,5}
Question
22
22.
If A = {-1,5,-2,-4,7} and μ = {-1,5,-2,-4,7,-7,-3,3}, find A ∪ A'
(i)
{}
(ii)
{7,3,-4,-3,-2,-1,-7}
(iii)
{-3,7,-7,1,5,3,-4,-2,4,-1}
(iv)
{-3,4,3,-9,-2,6,-4,-1}
(v)
{-1,7,-4,3,-2,5,-3,-7}
Question
23
23.
If μ = {6,-2,-7,-3,4,7,-9,2,5}, A = {6,-2,-7} and B = {-7,-3,6,4}, find (A ∪ B) − (A ∩ B)
(i)
{4,-3,-2}
(ii)
{-3,5,4,-2}
(iii)
{-3,-2}
(iv)
{}
(v)
{4,5,-2}
Question
24
24.
If A = {8,10,5,4} and B = {0,9,1,4} , then B − A =
(i)
{}
(ii)
{13,1,9,0}
(iii)
{4,0,9,1}
(iv)
{1,0}
(v)
{9,0,1}
Question
25
25.
Which of the following are equivalent sets?
a)
{7,-5,-4,-1}
b)
{-7,-9,-3,-4,2,6,4}
c)
{-8,3,-7,2,6}
d)
{-1,8,-2,6,4}
e)
{0,1,-2,-6,4,9}
(i)
{b,d,c}
(ii)
{b,d}
(iii)
{c,d}
(iv)
{a,c}
(v)
{e,a,c}
Assignment Key
1) (iv)
2) (i)
3) (i)
4) (v)
5) (iii)
6) (ii)
7) (i)
8) (i)
9) (v)
10) (iii)
11) (ii)
12) (iv)
13) (i)
14) (iv)
15) (iii)
16) (v)
17) (v)
18) (ii)
19) (iii)
20) (i)
21) (i)
22) (v)
23) (i)
24) (v)
25) (iii)
