iran-konkur 2016 Q153

iran-konkur · Other · konkur-riazi_1395_specialized Not Maths
153- In the directed graph below, by drawing at least a few new edges, a graph with the properties of transitivity and anti-symmetry is obtained. What is the result?
[Figure: A directed graph with vertices $a$, $b$, $c$, $d$, $e$ and directed edges between them]
\begin{flushright} (1) $2$
(2) $4$
(3) $5$
(4) Not possible \end{flushright}
\textbf{153-} In the directed graph below, by drawing at least a few new edges, a graph with the properties of transitivity and anti-symmetry is obtained. What is the result?

\begin{center}
\textit{[Figure: A directed graph with vertices $a$, $b$, $c$, $d$, $e$ and directed edges between them]}
\end{center}

\begin{flushright}
(1) $2$\\
(2) $4$\\
(3) $5$\\
(4) Not possible
\end{flushright}