Sets and types of Sets
Sets, Relation and Function

116725 The set \(\left\{x \in R: x-2+x^2=0\right\}\) is equal to

1 \(\{-1,2\}\)
2 \(\{1,2\}\)
3 \(\{-1,-2\}\)
4 \(\{1,-2\}\)
Sets, Relation and Function

116726 If \(\mathbf{A}=\{1,2,3,4,5,6\}\), then the number of subsets of \(A\) which contains at least two elements is

1 63
2 57
3 58
4 64
Sets, Relation and Function

116727 There is a set \(P\) of ordered pairs in which each pair has a vowel as first element and a consonant as second element. It is given that \(M\) \(=4^{10}\). How many element will be there in power set of \(P\) ?

1 \(32\left(\mathrm{M}^5\right)\)
2 \(16\left(\mathrm{M}^5\right)\)
3 \(32\left(\mathrm{M}^4\right)\)
4 \(16\left(\mathrm{M}^4\right)\)
Sets, Relation and Function

116728 If \(A=\{2,3,4,8,10\}, B=\{3,4,5,10,12\}\) and \(C=\{4,5,6,12,14\}\), then \((A \cup B) \cup(A \cup C)\) is equal to

1 \(\{2,3,4,5,10,12\}\)
2 \(\{2,3,4,5,8,10,12\}\)
3 \(\{2,3,4,10,12\}\)
4 None of these
Sets, Relation and Function

116729 If \(n(P)=8, n(Q)=10\) and \(n(R)=5\) (' \(n\) ' denotes cardinality) for three disjoint sets \(P, Q, R\) then \(\mathbf{n}(\mathbf{P} \cup \mathbf{Q} \cup \mathbf{R})=\)

1 23
2 20
3 18
4 15
Sets, Relation and Function

116725 The set \(\left\{x \in R: x-2+x^2=0\right\}\) is equal to

1 \(\{-1,2\}\)
2 \(\{1,2\}\)
3 \(\{-1,-2\}\)
4 \(\{1,-2\}\)
Sets, Relation and Function

116726 If \(\mathbf{A}=\{1,2,3,4,5,6\}\), then the number of subsets of \(A\) which contains at least two elements is

1 63
2 57
3 58
4 64
Sets, Relation and Function

116727 There is a set \(P\) of ordered pairs in which each pair has a vowel as first element and a consonant as second element. It is given that \(M\) \(=4^{10}\). How many element will be there in power set of \(P\) ?

1 \(32\left(\mathrm{M}^5\right)\)
2 \(16\left(\mathrm{M}^5\right)\)
3 \(32\left(\mathrm{M}^4\right)\)
4 \(16\left(\mathrm{M}^4\right)\)
Sets, Relation and Function

116728 If \(A=\{2,3,4,8,10\}, B=\{3,4,5,10,12\}\) and \(C=\{4,5,6,12,14\}\), then \((A \cup B) \cup(A \cup C)\) is equal to

1 \(\{2,3,4,5,10,12\}\)
2 \(\{2,3,4,5,8,10,12\}\)
3 \(\{2,3,4,10,12\}\)
4 None of these
Sets, Relation and Function

116729 If \(n(P)=8, n(Q)=10\) and \(n(R)=5\) (' \(n\) ' denotes cardinality) for three disjoint sets \(P, Q, R\) then \(\mathbf{n}(\mathbf{P} \cup \mathbf{Q} \cup \mathbf{R})=\)

1 23
2 20
3 18
4 15
Sets, Relation and Function

116725 The set \(\left\{x \in R: x-2+x^2=0\right\}\) is equal to

1 \(\{-1,2\}\)
2 \(\{1,2\}\)
3 \(\{-1,-2\}\)
4 \(\{1,-2\}\)
Sets, Relation and Function

116726 If \(\mathbf{A}=\{1,2,3,4,5,6\}\), then the number of subsets of \(A\) which contains at least two elements is

1 63
2 57
3 58
4 64
Sets, Relation and Function

116727 There is a set \(P\) of ordered pairs in which each pair has a vowel as first element and a consonant as second element. It is given that \(M\) \(=4^{10}\). How many element will be there in power set of \(P\) ?

1 \(32\left(\mathrm{M}^5\right)\)
2 \(16\left(\mathrm{M}^5\right)\)
3 \(32\left(\mathrm{M}^4\right)\)
4 \(16\left(\mathrm{M}^4\right)\)
Sets, Relation and Function

116728 If \(A=\{2,3,4,8,10\}, B=\{3,4,5,10,12\}\) and \(C=\{4,5,6,12,14\}\), then \((A \cup B) \cup(A \cup C)\) is equal to

1 \(\{2,3,4,5,10,12\}\)
2 \(\{2,3,4,5,8,10,12\}\)
3 \(\{2,3,4,10,12\}\)
4 None of these
Sets, Relation and Function

116729 If \(n(P)=8, n(Q)=10\) and \(n(R)=5\) (' \(n\) ' denotes cardinality) for three disjoint sets \(P, Q, R\) then \(\mathbf{n}(\mathbf{P} \cup \mathbf{Q} \cup \mathbf{R})=\)

1 23
2 20
3 18
4 15
Sets, Relation and Function

116725 The set \(\left\{x \in R: x-2+x^2=0\right\}\) is equal to

1 \(\{-1,2\}\)
2 \(\{1,2\}\)
3 \(\{-1,-2\}\)
4 \(\{1,-2\}\)
Sets, Relation and Function

116726 If \(\mathbf{A}=\{1,2,3,4,5,6\}\), then the number of subsets of \(A\) which contains at least two elements is

1 63
2 57
3 58
4 64
Sets, Relation and Function

116727 There is a set \(P\) of ordered pairs in which each pair has a vowel as first element and a consonant as second element. It is given that \(M\) \(=4^{10}\). How many element will be there in power set of \(P\) ?

1 \(32\left(\mathrm{M}^5\right)\)
2 \(16\left(\mathrm{M}^5\right)\)
3 \(32\left(\mathrm{M}^4\right)\)
4 \(16\left(\mathrm{M}^4\right)\)
Sets, Relation and Function

116728 If \(A=\{2,3,4,8,10\}, B=\{3,4,5,10,12\}\) and \(C=\{4,5,6,12,14\}\), then \((A \cup B) \cup(A \cup C)\) is equal to

1 \(\{2,3,4,5,10,12\}\)
2 \(\{2,3,4,5,8,10,12\}\)
3 \(\{2,3,4,10,12\}\)
4 None of these
Sets, Relation and Function

116729 If \(n(P)=8, n(Q)=10\) and \(n(R)=5\) (' \(n\) ' denotes cardinality) for three disjoint sets \(P, Q, R\) then \(\mathbf{n}(\mathbf{P} \cup \mathbf{Q} \cup \mathbf{R})=\)

1 23
2 20
3 18
4 15
Sets, Relation and Function

116725 The set \(\left\{x \in R: x-2+x^2=0\right\}\) is equal to

1 \(\{-1,2\}\)
2 \(\{1,2\}\)
3 \(\{-1,-2\}\)
4 \(\{1,-2\}\)
Sets, Relation and Function

116726 If \(\mathbf{A}=\{1,2,3,4,5,6\}\), then the number of subsets of \(A\) which contains at least two elements is

1 63
2 57
3 58
4 64
Sets, Relation and Function

116727 There is a set \(P\) of ordered pairs in which each pair has a vowel as first element and a consonant as second element. It is given that \(M\) \(=4^{10}\). How many element will be there in power set of \(P\) ?

1 \(32\left(\mathrm{M}^5\right)\)
2 \(16\left(\mathrm{M}^5\right)\)
3 \(32\left(\mathrm{M}^4\right)\)
4 \(16\left(\mathrm{M}^4\right)\)
Sets, Relation and Function

116728 If \(A=\{2,3,4,8,10\}, B=\{3,4,5,10,12\}\) and \(C=\{4,5,6,12,14\}\), then \((A \cup B) \cup(A \cup C)\) is equal to

1 \(\{2,3,4,5,10,12\}\)
2 \(\{2,3,4,5,8,10,12\}\)
3 \(\{2,3,4,10,12\}\)
4 None of these
Sets, Relation and Function

116729 If \(n(P)=8, n(Q)=10\) and \(n(R)=5\) (' \(n\) ' denotes cardinality) for three disjoint sets \(P, Q, R\) then \(\mathbf{n}(\mathbf{P} \cup \mathbf{Q} \cup \mathbf{R})=\)

1 23
2 20
3 18
4 15