Arun moved a distance of $75 \, m$ towards north. He then turned to the left and walked for about $25 \, m$,turned left again and walked $80 \, m$. Finally,he turned to the right at an angle of $45^{\circ}$. In which direction was he moving finally?

  • A
    North-east
  • B
    North-west
  • C
    South
  • D
    South-west

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Six flats on a floor in two rows facing North and South are allotted to $P, Q, R, S, T$ and $U$.
$(i)$ $Q$ gets a North-facing flat and is not next to $S$.
(ii) $S$ and $U$ get diagonally opposite flats.
(iii) $R$,next to $U$,gets a South-facing flat and $T$ gets a North-facing flat.
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Kishore walks $10 \,km$ towards north. Then he walks $6 \,km$ towards south. Then he walks $3 \,km$ towards east. How far and in which direction is he with reference to his starting point?

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