Paragraph Comprehension is almost pure technique, which makes it the quickest AFQT win available. Read the question before the passage, answer only from what is written, and never bring in what you already know. Most people gain here within two weeks.
Paragraph Comprehension is one of the four AFQT subtests, so it counts directly towards whether you can enlist. See how the AFQT is built.
Reading the passage carefully first
It feels responsible and it costs you the section. Read the question first, then scan the passage for the part that answers it. You are looking something up, not studying it.
Choosing an answer that is true but not stated
The most common trap. An option can be entirely correct about the world and still be wrong, because the passage did not say it. If you cannot point at the line that supports your answer, it is not your answer.
Bringing outside knowledge
If a passage makes a claim you know to be dubious, that is irrelevant. Every question is answered strictly from inside the passage, including the ones about tone and purpose.
Often the fastest improvement on the whole test, because you are changing a method rather than learning material. Two weeks of consistent practice is usually enough, and like Word Knowledge it counts double through Verbal Expression.