According to the time by Nihaal’s watch its half past one and the hour hand is pointing towards the north-east. Assuming that there is no change in Nihaal’s position, in which direction would the minute hand point after 30 minutes?

It's half past one, meaning the time is 1:30.

The hour hand would be between 1 and 2 on the clock. Since it's 1:30, the hour hand is halfway between these two positions.

The hour hand is pointing towards north-east.

At 1:30, the minute hand would be at the 6 (the bottom of the clock, which is south).

After 30 minutes, the time will be 2:00.

The minute hand would be back at 12, which is pointing north.

Therefore, after 30 minutes, the minute hand will point north.

The minute hand will point north after 30 minutes.

thus, option (D) is correct answer.​​