Step 1: Understanding the Concept
The sum of oxidation states in a neutral compound is zero.
Step 2: Calculation
In \(\text{KO}_2\), potassium is an alkali metal, so its state is \(+1\).
In \(\text{H}_2\text{O}_2\): \(2(+1)+2x=0\), so \(x=-1\) for oxygen.
In \(\text{H}_2\text{SO}_4\): \(2(+1)+x+4(-2)=0\), so \(x=+6\) for sulfur.
Step 3: Compare the options
The set \(+1,-1,+6\) matches option (C).
Final Answer:
The oxidation states are +1 for K, minus 1 for O and +6 for S.
\[ \boxed{\text{(C) }\text{+1, -1 and +6}} \]