Step 1: Understanding the Concept:
The sum of oxidation numbers of all atoms in a species equals its charge. Oxygen is -2 here.
Step 2: Oxidation number in sulphur dioxide:
Let the oxidation number of S be \(x\): \(x + 2(-2) = 0\), so \(x = +4\).
Step 3: Oxidation number in the sulphate ion:
\(x + 4(-2) = -2\), so \(x = +6\).
Final Answer:
Sulphur has oxidation numbers +4 and +6, option (B). Option (A) reverses the order, while +3 does not occur in either.
\[ \boxed{+4,\ +6} \]