Grid of neighbors at 200 m diagonals: Rahim is at the origin. Babu: 200 m north-west; Joseph: 200 m south-west; Gopal: 200 m south-east of Joseph; Roy: 200 m north-east of Gopal. Where is Roy relative to Babu?
Verbal Reasoning
Direction Sense Test
Difficulty: Medium
Choose an option
-
ASouth east
-
BSouth west
-
CNorth
-
DNorth east
-
ENone of these
Answer
Correct Answer: South east
Explanation
Introduction / Context:This is a composition of diagonal moves (NW, SW, SE, NE) on a square grid with equal step lengths (200 m). We compare Roy’s final coordinates to Babu’s coordinates.
Given Data / Assumptions:
- Use unit steps for direction; distance equality preserves direction labels.
- Babu from Rahim: NW = (−1, +1).
- Joseph from Rahim: SW = (−1, −1).
- Gopal from Joseph: SE = (+1, −1).
- Roy from Gopal: NE = (+1, +1).
Concept / Approach:Compute coordinates relative to Rahim, then subtract to get Roy relative to Babu.
Step-by-Step Solution:
Babu = (−1, +1).Joseph = (−1, −1).Gopal = (−1, −1) + (+1, −1) = (0, −2).Roy = (0, −2) + (+1, +1) = (1, −1).Roy − Babu = (1 − (−1), −1 − 1) = (2, −2) ⇒ South-East.Verification / Alternative check:Diagramming a 2×2 diamond centered near Rahim shows Roy diagonally opposite Babu along the SE diagonal.
Why Other Options Are Wrong:
- South-west/North/North-east do not match the computed relative vector.
Common Pitfalls:Mixing “relative to Rahim” with “relative to Babu.” Always subtract the reference point’s coordinates.
Final Answer:South east