Rahul put his timepiece on the table in such a way that at 6 P.M. hour hand points to North. In which direction the minute hand will point at 9.15 P.M. ?

The question seems to be incomplete. Could you please provide the full question?

The question is asking for the direction the minute hand will point at 9:15 PM, given that at 6 PM the hour hand was pointing North.

Here are the steps to solve this:

1. First, understand that a clock is a circle divided into 12 equal parts, each representing an hour. This means each hour represents 30 degrees (360 degrees / 12 hours = 30 degrees/hour).

2. From 6 PM to 9 PM is a difference of 3 hours. Multiply this by 30 degrees to find the total degree change for the hour hand, which is 90 degrees. Since the hour hand was initially pointing North, a 90 degree change would move it to the East.

3. At 9 PM, the hour hand points East. However, the question asks for the position of the minute hand at 9:15 PM.

4. The minute hand moves 12 times faster than the hour hand. This means that for every 30 degrees the hour hand moves, the minute hand moves 360 degrees (a full circle).

5. At 9 PM, the minute hand points East (the same as the hour hand). But 15 minutes later, the minute hand will have moved a quarter of the way around the clock (because 15 minutes is a quarter of an hour).

6. A quarter of the way around the clock from East is South.

So, at 9:15 PM, the minute hand will point South.