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$\textbf{M}$ and $\textbf{N}$ starts from same location.$\textbf{M}$ travels $10$ $km$ East then $10$ $km$ North-East. $\textbf{N}$ travels $5$ $km$ South then $4$ $km$ South-East.What is the shortest distance (in $km$) between $\textbf{M}$ and $\textbf{N}$ at the end of their travel?

  1. $18.60$
  2. $22.50$
  3. $20.61$
  4. $25.00$
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