Question

If star A is farther from Earth than star B, but both stars have the same absolute magnitude, what is true about their apparent magnitude?
Apparent magnitude is not related to distance.
Star B has the greater apparent magnitude.
Star A has the greater apparent magnitude.
Both stars have the same apparent magnitude.

Answer 1

If star A is farther from Earth than star B, but both stars have the same absolute magnitude, the option which is true about their apparent magnitude is that star B has the greater apparent magnitude.
Apparent magnitude refers to the magnitude of an object in space as it is actually measured from the earth, whereas absolute magnitude refers to the star's brightness. 

Answer 2

The B star would have a larger apparent magnitude