Direction-sense: net position after rectangular path: Laxman went 15 km North, turned West 10 km, turned South 5 km, then turned East 10 km. In which direction is he from his house now?
Verbal Reasoning
Direction Sense Test
Difficulty: Easy
Choose an option
-
AEast
-
BWest
-
CNorth
-
DSouth
-
ENone of these
Answer
Correct Answer: North
Explanation
Introduction / Context:Track displacements on perpendicular axes to find final position relative to start.
Given Data / Assumptions:
- Northern leg: +15 km.
- Western leg: -10 km x; Eastern leg: +10 km x.
- Southern leg: -5 km y.
Concept / Approach:Net x = -10 + 10 = 0; Net y = +15 - 5 = +10. Net position is directly North of origin.
Step-by-Step Solution:
Start (0,0).After North 15 → (0,15).West 10 → (-10,15).South 5 → (-10,10).East 10 → (0,10) ⇒ due North.Verification / Alternative check:East and West legs cancel completely.
Why Other Options Are Wrong:East/West imply horizontal offset; South implies negative y, which is not the case.
Common Pitfalls:Reporting facing instead of relative position; here we need direction of Laxman from house.
Final Answer:North