Question 72

Logical Reasoning Data Sufficiency / Interpretation Easy

All the roads of a city are either perpendicular or parallel to one another. The roads are all straight. Roads A, B, C, D and E are parallel to one another. Roads F, G, H, I, J, K, L and M are parallel to one another.

Road A is 1 km East of road B.

Road B is 1/2 km West of road C.

Road D is 1 km West of road E.

Road G is 1/2 km South of road L.

Road I is 1 km North of road J.

Road K is 1/2 km North of road L.

Road K is 1 km South of road M.

If K is parallel to I, K is 1/2 km South of J and 1 km North of G, then which of the following two roads would be 1/2 km apart?

(A) I and K
(B) J and G
(C) I and G
(D) J and K
View Dynamic Solution & Explanation
Correct Solution: Option D

Step-by-step Solution:

Logical Deduction



The best way to solve this is to build a simple map of the parallel roads' relative positions based on the given clues.




  1. Establish Key Positions:

    • We are given a direct link: K is 1/2 km South of J. This means the distance between J and K is exactly 1/2 km.

    • We can build on this: K is 1 km North of G.

    • And also: I is 1 km North of J.




  2. Evaluate the Options based on these positions:

    • A. I and K: The distance from K up to J is 0.5 km, and from J up to I is another 1 km. Total distance = 1.5 km.

    • B. J and G: The distance from G up to K is 1 km, and from K up to J is another 0.5 km. Total distance = 1.5 km.

    • C. I and G: The total distance is G → K (1 km) + K → J (0.5 km) + J → I (1 km) = 2.5 km.

    • D. J and K: The distance is directly established as 1/2 km.






Final Arrangement


This logic results in the following map (from North to South):



(North)
^
|
I
|
1 km
|
J
|
0.5 km
|
K
|
1 km
|
G
|
v
(South)




Conclusion: The calculations and the visual map confirm that the pair of roads 1/2 km apart is J and K.



Final Answer: The correct option is D.