A clock is placed that at 6 O’clock. It's minute hand points North-East. In which direction does its hour hand at 1 : 30 pm?

To answer this question, we need to understand the movement of the clock hands.

1. At 6 o'clock, both the hour and minute hands point towards the '6' on the clock face. If we assume that this direction is North-East, then the '12' on the clock face would be South-West.

2. The hour hand moves from '6' to '1' in 7.5 hours (half of a 15-hour cycle from 6 to 6).

3. At 1:30 PM, the hour hand would be halfway between '1' and '2' on the clock face.

4. If we consider the clock face as a compass, then '1' would be South and '2' would be South-East.

5. Therefore, at 1:30 PM, the hour hand would be pointing in a direction halfway between South and South-East.

So, the hour hand points in the South-South-East direction at 1:30 PM.