Amit starts walking with his back towards the Sun. After some time, he turns left, then turns right, and then turns left once again. In which direction is he walking now?

Introduction:
This problem involves both the position of the Sun and a sequence of left and right turns. Amit starts with his back towards the Sun, but the time of day is not specified, so the Sun's direction may be East (morning) or West (evening). After three turns, we must work out in which direction he is walking. Because the time is ambiguous, the answer is expressed as a set of possible directions.

Given Data / Assumptions:
• Amit begins with his back towards the Sun.• After walking for some time, he turns left.• Then he turns right.• Then he turns left again.• The problem does not specify morning or evening, so the Sun could be in the East (after sunrise) or West (before sunset).

Concept / Approach:
If Amit's back is towards the Sun, he is facing directly opposite the Sun. In the morning, the Sun is in the East, so he would be facing West. In the evening, the Sun is in the West, so he would be facing East. We can represent both cases separately and then apply the same sequence of turns (left, then right, then left) to each starting direction. The final direction will be 90 degrees to the left of his original facing direction in either case.

Step-by-Step Solution:
Case 1 (Morning): Sun in the East.Step 1: If the Sun is in the East, Amit's back is towards East and he faces West.Step 2: Starting facing West, a left turn points him South.Step 3: From South, a right turn makes him face West again.Step 4: From West, a final left turn makes him face South.So in the morning case he ends up facing South.Case 2 (Evening): Sun in the West.Step 5: If the Sun is in the West, Amit's back is towards West and he faces East.Step 6: Starting facing East, a left turn points him North.Step 7: From North, a right turn makes him face East again.Step 8: From East, a final left turn makes him face North.So in the evening case he ends up facing North.

Verification / Alternative check:
In both cases, notice that the sequence left, then right, then left is equivalent to a net left turn of 90 degrees relative to the original direction. Turning left (+90), then right (−90), then left (+90) gives a net rotation of +90 degrees. So the final direction is always 90 degrees to the left of the starting direction: left of West is South, and left of East is North. This confirms our step-by-step reasoning.

Why Other Options Are Wrong:
Options involving East or West as final directions would be correct only if the net rotation were 0 or 180 degrees. Here the net rotation is +90 degrees left, not 0 or 180. Options that mix West or East with the correct directions are misleading because the starting direction itself is East or West, but not the final one. Only "North or South" correctly captures the two possibilities depending on whether it is morning or evening.

Common Pitfalls:
Candidates sometimes assume a specific time (usually morning) and ignore the other possibility, leading to only one direction (South). Others mis-handle left and right turns when the person is facing West or East, which are more error prone than when facing North. The safest approach is to consider both Sun positions and track the turns slowly or by drawing a small compass diagram.

Final Answer:
Depending on whether the Sun is in the East or in the West, Amit is finally walking towards the North or South direction.