A man moves towards the east and then takes a left turn. After covering some distance in that direction, he takes a right turn and finally takes another right turn. Which direction is the man facing now?

Introduction / Context:
This question deals only with the facing direction of a man after a sequence of right and left turns, starting from an initial direction. The distances covered are irrelevant to the final facing direction, so we focus entirely on how each turn changes his orientation. This is a standard type of reasoning question that tests mental rotation of directions.

Given Data / Assumptions:
- Initially the man is moving towards the east. - He takes a left turn and continues in that new direction. - After some distance he takes a right turn. - Finally he takes another right turn. - All turns are 90 degree turns.

Concept / Approach:
We track only orientation, not position. From east, left means turning north, and right means turning south. Each new right or left is interpreted relative to the current facing direction. The easiest method is to imagine standing at a fixed point and turning as described. Alternatively, we can think in terms of compass directions and apply right or left rotations step by step until the final orientation is clear.

Step-by-Step Solution:
1. Starting direction: east. 2. First turn: left from east takes him to facing north. 3. He walks some distance facing north, but direction remains north. 4. Second turn: right from north takes him to facing east again. 5. He walks further while facing east. 6. Third turn: right from east takes him to facing south. 7. At the end of the sequence of turns he is therefore facing south.

Verification / Alternative check:
We can mark the sequence on a small compass diagram. Draw arrows in this order: east, then a left arrow that points north, then a right arrow that points east again, and then a right arrow from east that points south. Because the distances do not affect orientation, this sketch directly shows the correct final direction. Trying to assign coordinates would be unnecessarily complicated, as only rotation matters.

Why Other Options Are Wrong:
- West is two right turns away from north, which does not match the given left, right, right pattern from east. - East is the direction just before the final right turn, not after it. - North is the direction after the first left turn, not the final direction. - South West is a diagonal direction, but all turns are at right angles between cardinal directions only.

Common Pitfalls:
Students sometimes misapply left and right because they mentally flip orientation as if observing from above rather than standing in the man's shoes. Always imagine you are facing the current direction and then mentally rotate to the left or right from your own viewpoint. Writing the sequence of directions in order can also prevent confusion in multi step turn problems.

Final Answer:
The man is finally facing south.