An hyperbole is "an overstatement or exaggeration" so option D) is correct. It is a literary device commonly used in literature.
Option A)is incorrect since the literary device that uses words that mimic sounds is the onomatopoeia.
Option B) is incorrect since the literary device that does not use "like" or "as" is the metaphor.
option C) is also incorrect since the literary device that uses "like" or "as" to compare things or ideas is a simile.