The set that contains only rational numbers that are integers is:
H: (-8, 4/3, 16, 25)
The number -8 is an integer, 16 and 25 are also integers, and 4/3 is a rational number, but not an integer.
The other sets contain numbers that are not integers or are not rational:
F: contains the rational number 1.25, which is not an integer.
G: contains the rational number 0.5, which is not an integer.
J: contains the irrational number √5, which is not rational and not an integer.