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# Write the components of the statement "$100$ is divisible by $3,\:11$ and $5$ Also check whether it is true or false.

$\begin{array}{1 1} True \\ false \end{array}$

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## 1 Answer

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The given statement is "$100$ is divisible by $3,\:11$ and $5$
The three components of this statement are
$p:$ $100$ is divisible by $3$.
$q:$ $100$ is divisible by $11$.
$r:$ $100$ is divisible by $5$.
The statement is false because only the last component is true.
First and second components are false.
Since the connective is 'and' , all the components of the statement should be true
so as to make the statement true.
answered Jul 14, 2014

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