Highway grid directions

CMAT 2018 · Logical Reasoning · Medium · Direction Sense

A National Highway road network has parallel and perpendicular roads running north south or east west only. Junctions/Intersections on this road network are marked as R1, R2, R3, R4… All roads are at exactly half a kilometer distance from each other. The following is known about junctions R1, R2, R3, R4, R8 and R24. 'R1' is east of 'R2' and west of 'R3'; 'R8' is southwest of 'R3' and southwest of R2. 'R2' is southeast of 'R24'. Which junctions are the farthest south and the farthest east?

  1. A.

    R1, R2

  2. B.

    R8, R3

  3. C.

    R3, R8

  4. D.

    R2, R8

Answer

B

Explanation

R1 is east of R2 and west of R3   ⟹  \implies order West-to-East: R2, R1, R3. Thus R3 is farthest east. R8 is southwest of R3 and R2   ⟹  \implies R8 is located south of them. Thus R8 is farthest south. Farthest south and farthest east are R8 and R3.

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