Question

At 3’O Clock, If hour hand points towards West, in which direction will the minute hand points at 7.45 p.m.

• A. West
• B. East
• C. South
• D. South East

Answer 1

The Correct Option is B

To solve this problem, let's break it down into a step-by-step logical analysis based on directions:

1. Understanding the Initial Position: At 3'O Clock, the hour hand points towards the West. Typically, in a standard clock, the hour hand points to the top for 12'O Clock (North), to the right for 3'O Clock (East), to the bottom for 6'O Clock (South), and to the left for 9'O Clock (West).
2. Considering the Modified Directions: Given that the hour hand at 3'O Clock is pointing West, it implies a 90-degree counter-clockwise rotation of standard directions has occurred.
3. Calculating the New Directions: After the rotation:
   • 12 O'Clock now points North (original), which is now West (new).
   • 3 O'Clock now points East (original), which is now South (new).
   • 6 O'Clock now points South (original), which is now East (new).
   • 9 O'Clock now points West (original), which is now North (new).
4. Determining the Direction at 7.45 PM: At 7.45 PM, the minute hand is towards 9 on a standard clock, which points West.
5. Identifying the Correct Direction: Based on our rotation, when on a standard clock, the minute hand at 9 O'Clock (West/Original) would now be pointing North. However, since originally it is rotated counter-clockwise from the new perspective, it points towards East (final direction after 90-degree anti-clockwise rotation).

Conclusion: Therefore, at 7.45 PM, the minute hand will point towards the East.