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Recent questions tagged goclasses_wq12
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GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | Question: 5
Consider the group $0,1,2,3,4,+{ }_{5}$. What will be the value of $2^{-3}$ and $3^{-2}$ for the given group? $1$ and $1$ $2$ and $3$ $4$ and $4$ $3$ and $2$
Consider the group $0,1,2,3,4,+{ }_{5}$. What will be the value of $2^{-3}$ and $3^{-2}$ for the given group?$1$ and $1$$2$ and $3$$4$ and $4$$3$ and $2$
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May 29, 2022
Set Theory & Algebra
goclasses_wq12
goclasses
set-theory&algebra
group-theory
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3
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GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | Question: 6
Let $f$ be a function from a set $X$ to a set $Y$. Consider the following statements. $P:$ For each $x \in X$, there exists $y \in Y$ such that $f(x)=y$. $Q$ : For each $y \in Y$, there exists $x \in X$ ... to-one and onto $Y$ " is $P$ or not $R$ $R$ or not $P$ $R$ or not $Q$ $P$ and not $R$
Let $f$ be a function from a set $X$ to a set $Y$. Consider the following statements.$P:$ For each $x \in X$, there exists $y \in Y$ such that $f(x)=y$.$Q$ : For each $y ...
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May 29, 2022
Set Theory & Algebra
goclasses_wq12
goclasses
set-theory&algebra
functions
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4
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1
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3
GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | Question: 9
The group $Z_{n}$ consists of the elements $\{0,1,2, \ldots, n-1\}$ with addition $\bmod n$ as the operation. How many subgroups of $Z_{9}$ are there?
The group $Z_{n}$ consists of the elements $\{0,1,2, \ldots, n-1\}$ with addition $\bmod n$ as the operation.How many subgroups of $Z_{9}$ are there?
GO Classes
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May 29, 2022
Set Theory & Algebra
goclasses_wq12
numerical-answers
goclasses
set-theory&algebra
group-theory
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4
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1
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4
GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | Question: 10
Let $Z$ be the set of all integers. Let $n \in Z$ and $nZ = \{nk : k \in Z \}.$ We know that $Z$ is a group under addition operation. Which of the following is/are true? $nZ$ is a subgroup of $Z$ (under ... for some $n.$ $3Z$ is the smallest subgroup of $(Z,+)$ containing $3.$ $nZ$ is a cyclic subgroup of $Z.$
Let $Z$ be the set of all integers. Let $n \in Z$ and $nZ = \{nk : k \in Z \}.$ We know that $Z$ is a group under addition operation.Which of the following is/are true?$n...
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May 29, 2022
Set Theory & Algebra
goclasses_wq12
goclasses
set-theory&algebra
group-theory
group-isomorphism
multiple-selects
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4
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1
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5
GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | Question: 11
The set $Z_{\mathrm{n}}^{*}$ consists of the elements $\{1,2, \ldots, \mathrm{n}-1\}$ with multiplication $\bmod n$ as the operation. The group $Z_{n}$ consists of the elements $\{0,1,2, \ldots, n-1\}$ ... then $\mathrm{G}$ is a cyclic group. The number of elements in $Z_{8}^{*}$ which have an inverse is $4.$
The set $Z_{\mathrm{n}}^{*}$ consists of the elements $\{1,2, \ldots, \mathrm{n}-1\}$ with multiplication $\bmod n$ as the operation.The group $Z_{n}$ consists of the ele...
GO Classes
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May 29, 2022
Set Theory & Algebra
goclasses_wq12
goclasses
set-theory&algebra
group-theory
multiple-selects
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2
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1
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6
GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | Question: 12
Consider the standard groups $Z_{\mathrm{n}}, \mathrm{R}^{*}, \mathrm{C}^{*}$ under their standard group operation. Here, $\mathrm{R}^{*}, \mathrm{C}^{*}$ are set of non-zero real numbers, set of non-zero complex numbers, ... $\sqrt{3} \in \mathrm{R}^{*}$ $-\mathrm{i} \in \mathrm{C}^{*}$
Consider the standard groups $Z_{\mathrm{n}}, \mathrm{R}^{*}, \mathrm{C}^{*}$ under their standard group operation. Here, $\mathrm{R}^{*}, \mathrm{C}^{*}$ are set of non-...
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May 29, 2022
Set Theory & Algebra
goclasses_wq12
goclasses
set-theory&algebra
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5
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1
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7
GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | Question: 14
Let $\mathrm{f}: \mathrm{A} \rightarrow \mathrm{B}$ and $\mathrm{g}: \mathrm{B} \rightarrow \mathrm{C}$ be maps. Which of the following is/are true? If $f$ and $g$ are both one-to-one functions, then $gof$ is one-to-one. ... $g \circ f$ is one-to-one and $f$ is onto, then $g$ is one-to-one.
Let $\mathrm{f}: \mathrm{A} \rightarrow \mathrm{B}$ and $\mathrm{g}: \mathrm{B} \rightarrow \mathrm{C}$ be maps.Which of the following is/are true?If $f$ and $g$ are both...
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May 29, 2022
Set Theory & Algebra
goclasses_wq12
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