How many neutral points due to a bar magent?

Two

Explanation:

A neutral point is a point in the magnetic field of a bar magnet where the resultant magnetic field intensity is zero

The neutral point is formed in the region of the combined magnetic field where the magnetic field from the bar magnet is balanced by the horizontal component from the Earth's magnetic field

Two neutral points are formed adjacent to the north and south poles of a bar magnet when the south pole of the bar magnet points in the magnetic north pole of the Earth with the north pole of the bar magnet pointing towards the south pole of the Earth's magnetic field

Two neutral points are also formed on the west and eastern facing sides of a bar magnet when the north pole of the magnet is pointing to the magnetic north of the Earth's magnetic field and the south pole of the bar magnet points south

Therefore, two neutral points are formed for each orientation of the bar magnet when placed horizontally in the Earths magnetic field with the poles of the magnet facing the North and South poles direction of the Earth's magnetic field.

conduct current i mean it makes sense