Step 1: Understanding the Concept
The sum of oxidation numbers in a neutral compound is zero.
Step 2: KO2 and H2O2
\(\text{KO}_2\) is potassium superoxide with \(\text{O}_2^{-}\), so K is \(+1\). In \(\text{H}_2\text{O}_2\), with H \(=+1\): \(2(+1)+2x=0\), so O is \(-1\).
Step 3: H2SO4
With H \(=+1\) and O \(=-2\): \(2+x+4(-2)=0\), so S is \(+6\).
Step 4: Result
The oxidation states are \(+1\), \(-1\) and \(+6\).
Final Answer:
The oxidation states are +1, -1 and +6.
\[ \boxed{\text{(C) }\text{+1, -1 and +6}} \]