Question

Raj is standing in the middle of a square field. He starts walking diagonally to North-East. Then, he turns right and reaches the far end of the field. Then, he turns right and starts walking. In the midway, he again turns right and starts walking. In the midway, he again turns right and starts walking. In the halfway, he again turns right and starts walking. In the halfway, he turns to his left and reaches a new far end. In what direction is Raj now?

• A. North
• B. South
• C. North-West
• D. South-West

Hint:

Track only \textbf{direction changes}, ignore distances unless required.

Answer 1

The Correct Option is C

Concept: Track direction step-by-step using:

• Right turn = $90^\circ$ clockwise
• Left turn = $90^\circ$ anti-clockwise

Step 1:Initial direction: \[ \text{North-East} \]
Step 2:Turn right: \[ \text{North-East} \rightarrow \text{South-East} \]
Step 3:Turn right again: \[ \text{South-East} \rightarrow \text{South-West} \]
Step 4:Turn right again: \[ \text{South-West} \rightarrow \text{North-West} \]
Step 5:Turn right again: \[ \text{North-West} \rightarrow \text{North-East} \]
Step 6:Final turn (left): \[ \text{North-East} \rightarrow \text{North-West} \]
Step 7:Final direction: \[ \text{North-West} \]