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Magnets are most commonly made out of metal, so yes, two metal magnets can repel. But metals such as iron are attracted to magnets even if the metal itself is not magnetized. Iron is attracted to both poles of a magnet, and it can not be repelled by a magnet.
The US only made steel cents in 1943 to save copper for the war effort. Any 1965 cent that appears to be steel is almost certainly plated. You can (and should) always test a suspected steel coin with a magnet before jumping to conclusions. If it's not attracted to a magnet it's not steel.
bar magnet :- cuboid shapecylindrical magnet :- cylinder shape
A compass would not work without a magnet. Inside the compass is a magnet which moves to line up with the Earth's natural magnetism. The north pole of the magnet is attracted to the south pole of the Earth. As such, the magnet moves to always be lining up in this way. When you use a magnet, you can see this in action as the needle moves around to always point northward and from knowing this, you can tell which way you are facing.
As I recall, Lodestone (magnetite) was found in a place named Magnesia, hence magnet.