Sets and types of Sets
Sets, Relation and Function

116709 Set \(A\) and \(B\) have 3 and 6 elements respectively. What can be the minimum number of elements in \(\mathbf{A} \cup \mathbf{B}\) ?

1 3
2 6
3 9
4 1
Sets, Relation and Function

116710 \(X=\left\{8^n-7 n-1 \mid n \in N\right\}\) and \(Y=\{49(n-1)\) \(\mid \mathbf{n} \in \mathbf{N}\}\), then

1 \(\mathrm{X} \subset \mathrm{Y}\)
2 \(\mathrm{Y} \subset \mathrm{X}\)
3 \(\mathrm{X}=\mathrm{Y}\)
4 none of these
Sets, Relation and Function

116711 If \(A=\left\{x: x^2=1\right\}\) and \(B=\left\{x: x^4=1\right\}\), then \(\mathbf{A} \Delta \mathrm{B}\) is equal to

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

116712 A set contains \(2 n+1\) elements. The number of subsets of this set containing more than \(n\) elements is equal to:

1 \(2^{\mathrm{n}-1}\)
2 \(2^{\mathrm{n}}\)
3 \(2^{\mathrm{n}+1}\)
4 \(2^{2 \mathrm{n}}\)
Sets, Relation and Function

116713 Universal set,
\(U=\left\{x \mid x^5-6 x^4+11 x^3-6 x^2=0\right\}\)
\(A=\left\{x \mid x^2-5 x+6=0\right\}\)
\(B=\left\{x \mid x^2-3 x+2=0\right\}\)
What is \((A \cap B)\) ' equal to ?

1 \(\{1,3\}\)
2 \(\{1,2,3\}\)
3 \(\{0,1,3\}\)
4 \(\{0,1,2,3\}\)
Sets, Relation and Function

116709 Set \(A\) and \(B\) have 3 and 6 elements respectively. What can be the minimum number of elements in \(\mathbf{A} \cup \mathbf{B}\) ?

1 3
2 6
3 9
4 1
Sets, Relation and Function

116710 \(X=\left\{8^n-7 n-1 \mid n \in N\right\}\) and \(Y=\{49(n-1)\) \(\mid \mathbf{n} \in \mathbf{N}\}\), then

1 \(\mathrm{X} \subset \mathrm{Y}\)
2 \(\mathrm{Y} \subset \mathrm{X}\)
3 \(\mathrm{X}=\mathrm{Y}\)
4 none of these
Sets, Relation and Function

116711 If \(A=\left\{x: x^2=1\right\}\) and \(B=\left\{x: x^4=1\right\}\), then \(\mathbf{A} \Delta \mathrm{B}\) is equal to

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

116712 A set contains \(2 n+1\) elements. The number of subsets of this set containing more than \(n\) elements is equal to:

1 \(2^{\mathrm{n}-1}\)
2 \(2^{\mathrm{n}}\)
3 \(2^{\mathrm{n}+1}\)
4 \(2^{2 \mathrm{n}}\)
Sets, Relation and Function

116713 Universal set,
\(U=\left\{x \mid x^5-6 x^4+11 x^3-6 x^2=0\right\}\)
\(A=\left\{x \mid x^2-5 x+6=0\right\}\)
\(B=\left\{x \mid x^2-3 x+2=0\right\}\)
What is \((A \cap B)\) ' equal to ?

1 \(\{1,3\}\)
2 \(\{1,2,3\}\)
3 \(\{0,1,3\}\)
4 \(\{0,1,2,3\}\)
Sets, Relation and Function

116709 Set \(A\) and \(B\) have 3 and 6 elements respectively. What can be the minimum number of elements in \(\mathbf{A} \cup \mathbf{B}\) ?

1 3
2 6
3 9
4 1
Sets, Relation and Function

116710 \(X=\left\{8^n-7 n-1 \mid n \in N\right\}\) and \(Y=\{49(n-1)\) \(\mid \mathbf{n} \in \mathbf{N}\}\), then

1 \(\mathrm{X} \subset \mathrm{Y}\)
2 \(\mathrm{Y} \subset \mathrm{X}\)
3 \(\mathrm{X}=\mathrm{Y}\)
4 none of these
Sets, Relation and Function

116711 If \(A=\left\{x: x^2=1\right\}\) and \(B=\left\{x: x^4=1\right\}\), then \(\mathbf{A} \Delta \mathrm{B}\) is equal to

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

116712 A set contains \(2 n+1\) elements. The number of subsets of this set containing more than \(n\) elements is equal to:

1 \(2^{\mathrm{n}-1}\)
2 \(2^{\mathrm{n}}\)
3 \(2^{\mathrm{n}+1}\)
4 \(2^{2 \mathrm{n}}\)
Sets, Relation and Function

116713 Universal set,
\(U=\left\{x \mid x^5-6 x^4+11 x^3-6 x^2=0\right\}\)
\(A=\left\{x \mid x^2-5 x+6=0\right\}\)
\(B=\left\{x \mid x^2-3 x+2=0\right\}\)
What is \((A \cap B)\) ' equal to ?

1 \(\{1,3\}\)
2 \(\{1,2,3\}\)
3 \(\{0,1,3\}\)
4 \(\{0,1,2,3\}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Sets, Relation and Function

116709 Set \(A\) and \(B\) have 3 and 6 elements respectively. What can be the minimum number of elements in \(\mathbf{A} \cup \mathbf{B}\) ?

1 3
2 6
3 9
4 1
Sets, Relation and Function

116710 \(X=\left\{8^n-7 n-1 \mid n \in N\right\}\) and \(Y=\{49(n-1)\) \(\mid \mathbf{n} \in \mathbf{N}\}\), then

1 \(\mathrm{X} \subset \mathrm{Y}\)
2 \(\mathrm{Y} \subset \mathrm{X}\)
3 \(\mathrm{X}=\mathrm{Y}\)
4 none of these
Sets, Relation and Function

116711 If \(A=\left\{x: x^2=1\right\}\) and \(B=\left\{x: x^4=1\right\}\), then \(\mathbf{A} \Delta \mathrm{B}\) is equal to

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

116712 A set contains \(2 n+1\) elements. The number of subsets of this set containing more than \(n\) elements is equal to:

1 \(2^{\mathrm{n}-1}\)
2 \(2^{\mathrm{n}}\)
3 \(2^{\mathrm{n}+1}\)
4 \(2^{2 \mathrm{n}}\)
Sets, Relation and Function

116713 Universal set,
\(U=\left\{x \mid x^5-6 x^4+11 x^3-6 x^2=0\right\}\)
\(A=\left\{x \mid x^2-5 x+6=0\right\}\)
\(B=\left\{x \mid x^2-3 x+2=0\right\}\)
What is \((A \cap B)\) ' equal to ?

1 \(\{1,3\}\)
2 \(\{1,2,3\}\)
3 \(\{0,1,3\}\)
4 \(\{0,1,2,3\}\)
Sets, Relation and Function

116709 Set \(A\) and \(B\) have 3 and 6 elements respectively. What can be the minimum number of elements in \(\mathbf{A} \cup \mathbf{B}\) ?

1 3
2 6
3 9
4 1
Sets, Relation and Function

116710 \(X=\left\{8^n-7 n-1 \mid n \in N\right\}\) and \(Y=\{49(n-1)\) \(\mid \mathbf{n} \in \mathbf{N}\}\), then

1 \(\mathrm{X} \subset \mathrm{Y}\)
2 \(\mathrm{Y} \subset \mathrm{X}\)
3 \(\mathrm{X}=\mathrm{Y}\)
4 none of these
Sets, Relation and Function

116711 If \(A=\left\{x: x^2=1\right\}\) and \(B=\left\{x: x^4=1\right\}\), then \(\mathbf{A} \Delta \mathrm{B}\) is equal to

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

116712 A set contains \(2 n+1\) elements. The number of subsets of this set containing more than \(n\) elements is equal to:

1 \(2^{\mathrm{n}-1}\)
2 \(2^{\mathrm{n}}\)
3 \(2^{\mathrm{n}+1}\)
4 \(2^{2 \mathrm{n}}\)
Sets, Relation and Function

116713 Universal set,
\(U=\left\{x \mid x^5-6 x^4+11 x^3-6 x^2=0\right\}\)
\(A=\left\{x \mid x^2-5 x+6=0\right\}\)
\(B=\left\{x \mid x^2-3 x+2=0\right\}\)
What is \((A \cap B)\) ' equal to ?

1 \(\{1,3\}\)
2 \(\{1,2,3\}\)
3 \(\{0,1,3\}\)
4 \(\{0,1,2,3\}\)