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