Recent questions in Others

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61
Let $\text{G}$ be a proper subgroup of $(\mathbb{R},+)$ which is closed as a subset of $\mathbb{R}$. Then $G$ is generated by a single element.
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62
There exists a unique function $f: \mathbb{R} \rightarrow \mathbb{R}$ such that $f$ is continuous at $x=0$, and such that for all $x \in \mathbb{R}$\[f(x)+f\left(\frac{x}...
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63
A map $f: V \rightarrow W$ between finite dimensional vector spaces over $\mathbb{Q}$ is a linear transformation if and only if $f(x)=f(x-a)+f(x-b)-f(x-a-b)$, for all $x,...
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66
Let $A, B$ be subsets of $\{0, \ldots, 9\}$. It is given that, on choosing elements $a \in A$ and $b \in B$ at random, $a+b$ takes each of the values $0, \ldots, 9$ with ...
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67
If $f: \mathbb{R} \rightarrow \mathbb{R}$ is uniformly continuous, then there exists $M>0$ such that for all $x \in \mathbb{R} \backslash[-M, M]$, we have $f(x) < x^{100}...
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68
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69
From where to get syllabus for OIL senior officer IT.
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71
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72
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73
The set of positive integers under the operation of ordinary multiplication is :not a monoidnot a groupa groupan Abelian group
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74
In a set of $8$ positive integers, there always exists a pair of numbers having the same remainder when divided by :$7$$11$$13$$15$
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75
An example of a tautology is :$x \vee y$$x \mathrm{v}(\sim y)$$x \mathrm{v}(\sim x)$$(x=>y) \wedge(x<=y)$
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76
Among the logic families $\text{RTL, TTL, ECL}$ and $\text{CMOS}$, the fastest family is :$\text{ECL}$$\mathrm{CMOS}$$\text{TTL}$$\text{RTL}$
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77
The octal equivalent of the hexadecimal number $\mathrm{FF}$ is :$100$$150$$377$$737$
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79
The idempotent law in Boolean algebra says that:$\sim(\sim x)=x$$x+x=x$$x+x y=x$$x(x+y)=x$