Seema walks to her office. She is facing south when she reaches her office. After starting from home, she turned left twice and then right before reaching her office. Which direction was Seema facing when she started from her home?
Explanation:
This is a direction sense problem that requires working backward from the final direction. 1. **Final Direction:** Seema is facing South when she reaches her office. 2. **Last Turn:** She turned Right just before reaching her office. If she faced South *after* a right turn, we need to determine what direction she was facing *before* that turn. A right turn from East leads to South. Therefore, she must have been facing East before her final right turn. 3. **Turns Before Last:** Before the final right turn, she turned Left twice. So, she was facing East *after* making two left turns. To find the direction she was facing *before* these two left turns (i.e., when she started from home), we need to reverse these turns. * Reversing a Left turn is equivalent to making a Right turn. * So, we need to apply two Right turns from the East direction. * **First reversed turn (Right from East):** If you are facing East and turn Right, you will face South. * **Second reversed turn (Right from South):** If you are facing South and turn Right, you will face West. \nTherefore, Seema was facing West when she started from her home. \nTo verify, let's trace the path forward: * Start: West * Turn Left (1st): South * Turn Left (2nd): East * Turn Right (before office): South\nThis matches the given final direction. \nLet's analyze why other options are incorrect: * **A. North:** If she started North, after two left turns (West, then South) and one right turn (West), she would face West, not South. * **B. East:** If she started East, after two left turns (North, then West) and one right turn (North), she would face North, not South. * **C. South:** If she started South, after two left turns (East, then North) and one right turn (East), she would face East, not South. \nHence, the only consistent starting direction is West.