turkey-yks 2023 Q37

turkey-yks · Other · yks-ayt Not Maths
Six points indicating the locations of a school, municipality, hospital, market, park and library are shown below on a map consisting of unit squares of a neighborhood. The following are known regarding the marked points on this map.
  • The two points with the maximum distance between them belong to the hospital and library.
  • The point indicating the municipality is equidistant from the points indicating the school and park.
  • The point indicating the park is equidistant from the points indicating the market and library.

Accordingly, what is the ratio of the distance between the points indicating the municipality and school to the distance between the points indicating the market and library?
A) $\frac{1}{2}$ B) $\frac{3}{2}$ C) $\frac{5}{2}$ D) $\frac{2}{3}$ E) $\frac{4}{3}$ 
Six points indicating the locations of a school, municipality, hospital, market, park and library are shown below on a map consisting of unit squares of a neighborhood. The following are known regarding the marked points on this map.

\begin{itemize}
  \item The two points with the maximum distance between them belong to the hospital and library.
  \item The point indicating the municipality is equidistant from the points indicating the school and park.
  \item The point indicating the park is equidistant from the points indicating the market and library.
\end{itemize}

Accordingly, what is the ratio of the distance between the points indicating the municipality and school to the distance between the points indicating the market and library?

A) $\frac{1}{2}$
B) $\frac{3}{2}$
C) $\frac{5}{2}$
D) $\frac{2}{3}$
E) $\frac{4}{3}$
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