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Class VI
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ICSE Grade VII - Sets
Question
1
1.
If μ = {7,0,4,5,-9,3,2,-1}, A = {7,0,4} and B = {5,-9,0}, find (B − A)'
{}
{2,-1,3,0,4}
{2,-1,7,3,4}
{7,3,2,-1,4,0}
Question
2
2.
Which of the following is an empty set?
{0}
{empty}
{o}
{∅}
{}
Question
3
3.
If A = {5,14,2,10,15,11,12} , B = {3,11,9,4,2,6,1} and C = {6,14,3,7,15,11,13}, then B ∩ (C ∩ A) =
{4,11}
{11,13}
{10,11}
{16,11}
{11}
Question
4
4.
For any two non-empty sets A and B, which of the following are true?
a)
A ∩ B = B ∩ A
b)
A ∪ B = B ∩ A
c)
A ∪ B = B ∪ A
d)
A ∩ B = B ∪ A
e)
A ∪ B = ∅
{d,c}
{e,b,a}
{d,c,a}
{b,a}
{a,c}
Question
5
5.
If μ = {-8,6,5,8,-7,2,-3,-4,4,3,0,-2,7,-5,-1,9,1}, A = {-8,6,5,8,-7,2} and B = {6,5,-3,-4,4,3,0}, find ( (A − B) ∪ (B − A) )'
{}
{5,9,-1,-2,7,1,-5}
{-5,7,-2,-1,1,9,6,5}
{1,-2,-1,-5,7,9,6}
Question
6
6.
Which of the following is 'not a subset' symbol?
∩
⊇
∪
⊄
∉
Question
7
7.
If A = {-2,1,-7,-3} and μ = {-2,1,-7,-3,-6,3,-1}, find A ∩ A'
{}
{3}
{1}
{5,4}
{0}
Question
8
8.
If A = {5,1,2,12,4,3} , B = {7,13,8,6,9,15} and C = {0,6,11,10,14}, then C ∩ (A ∩ B) =
{2}
{8}
{16}
{0}
{}
Question
9
9.
If μ = {-4,9,8,1,7,3,-3,-6,5,-9,4,-2,6,0,2}, A = {-4,9,8,1,7,3,-3} and B = {-6,5,-4,-3}, find B − A
{}
{6,5,-6}
{5}
{-6,5}
{-6,0}
Question
10
10.
If A = {5,3,0} and μ = {5,3,0,9,-2}, find A ∪ ∅
{3,4,5}
{8,6,-5}
{0,3,5}
{3,0}
{3,2,0,5,4}
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