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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 $2$
GO Classes
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GO Classes
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May 29, 2022
Set Theory & Algebra
goclasses_wq12
goclasses
set-theory&algebra
group-theory
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403
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1
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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 $f(x)=y$.$Q$ ... $ " is$P$ or not $R$R$ or not $P$R$ or not $Q$P$ and not $R$
GO Classes
403
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GO Classes
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May 29, 2022
Set Theory & Algebra
goclasses_wq12
goclasses
set-theory&algebra
functions
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345
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1
answers
4
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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?
GO Classes
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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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575
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1
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4
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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 ... $ containing $3.$nZ$ is a cyclic subgroup of $Z.$
GO Classes
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GO Classes
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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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322
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1
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4
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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 $Z_{n}$ ... cyclic group.The number of elements in $Z_{8}^{*}$ which have an inverse is $4.$
GO Classes
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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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357
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1
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2
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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- ... $-\mathrm{i} \in \mathrm{C}^{*}$
GO Classes
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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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339
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1
answers
5
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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 ... $g \circ f$ is one-to-one and $f$ is onto, then $g$ is one-to-one.
GO Classes
339
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GO Classes
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May 29, 2022
Set Theory & Algebra
goclasses_wq12
goclasses
set-theory&algebra
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