Step 1: Rule for chirality.
A molecule is chiral when at least one carbon is bonded to four different groups. That carbon is called a chiral center. If any two groups on a carbon are the same, that carbon is not chiral.
Step 2: Check Pentan-3-ol (I).
The C3 carbon carries -OH, -H, and two ethyl groups. Two groups are identical (both ethyl), so it is not chiral.
Step 3: Check 3-Methylheptane (II).
The C3 carbon holds -H, -CH$_3$, an ethyl group, and a butyl group. All four are different, so this is chiral.
Step 4: Check 3-Bromo-3-methylpentane (III).
The C3 carbon holds -Br, -CH$_3$, and two ethyl groups. Two ethyls are the same, so it is not chiral.
Step 5: Check 3-Bromo-2-methylpentane (IV).
The C3 carbon holds -Br, -H, an ethyl group, and an isopropyl group. All four differ, so this is chiral.
Step 6: Collect the chiral ones.
Only II and IV have a chiral center.
Step 7: Conclusion.
So the answer is II, IV only. \[ \boxed{\text{II, IV only}} \]