Question:

‘X’ started walking towards the west, after travelling 5 kilometres turned exactly to his right and walked 3 kms. Then he decided to walk exactly to his left. On reaching 2 kilometres, he heard a voice and walked back. Then he noticed that his friend ‘Y’ was walking towards him from his right side. In which direction is ‘Y’ walking?

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Keep track of the walker’s current facing after each turn. At the end, “from his right/left” refers to the person’s present orientation, not the absolute map directions.
Updated On: Aug 14, 2025
  • East
  • West
  • North
  • South
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The Correct Option is C

Solution and Explanation

Step 1: Trace X’s path with facing directions.
- Start facing West; go \(5\) km.
- Turn right (from West) \(\Rightarrow\) face North; go \(3\) km.
- Turn left (from North) \(\Rightarrow\) face West; go \(2\) km.
- “Walked back” \(\Rightarrow\) reverse direction to East and return \(2\) km to the previous point.
\(\Rightarrow\) After coming back, X is at the junction point and is facing East (his last movement).

Step 2: Interpret “Y was walking towards him from his right side.”
If X is facing East, his right side is South. “Walking towards him from his right side” means Y is coming from the South \(\Rightarrow\) Y’s direction of motion is towards X, i.e., North.

\[ \boxed{\text{Y\ is\ walking\ in\ the\ North\ direction.}} \]

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