Because they’ve had formal music training where you learn how to do that stuff.
BPM is (relatively) easy to figure out if you can identify the beat and have a stopwatch, because it’s just counting. Time signature isn’t too hard either because songs generally emphasize the first beat of the measure (plus 99% of pop songs are in 4/4 anyways.) Key is a bit trickier but some people have an ear for it.
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