Question

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. R1, R2
2. R8, R3
3. R3, R8
4. R2, R8

Answer 1

Correct Answer - Option 2 : R8, R3

The correct answer is R8, R3.

As per the given information, the junctions can be positioned as below:

 

R24
	R2		R1		R3
R8

 

Let us interpret all the options as per the given information:

• First option:
  • It is given that R1 is west of R3.
  • Thus, R1 is not the farthest east.
  • Hence, the first option is incorrect.
• Second option:
  • It is given that ‘R8’ is southwest of ‘R3’ and southwest of 'R2' and ‘R2’ is southeast of ‘R24’.
  • Thus, R8 is to the south of R3, R2, and R24.
  • It is given that R1 is east of R2 and R8 is southwest of 'R2'.
  • Thus, R8 is southwest of R1.
  • Thus, R8 is the farthest south.
  • It is given that “R1’ is east of ‘R2’ and west of ‘R3’ and  ‘R2’ is southeast of ‘R24 and  ‘R8’ is southwest of ‘R3’.
  • Thus, R3 is to the east of R1, R2, R24, R8.
  • Hence, R3 is the farthest east.
  • Hence, the second option is correct.
• Third option:
  • It is given that ‘R8’ is southwest of ‘R3’.
  • Thus, R3 cannot be the farthest south.
  • Hence, the third option is incorrect.
• Fourth option:
  • It is given that R8 is southwest of R2.
  • Thus, R2 cannot be the farthest south.
  • Hence, the fourth option is incorrect.

Hence, the correct answer is R8, R3.