Step 1: Calculate oxidation number:
\[
\text{Let oxidation number of Mn be } x
\]
\[
K_2MnO_4: 2(+1) + x + 4(-2) = 0
\]
\[
2 - 8 + x = 0 \Rightarrow x = +6
\]
Thus, the oxidation number of Mn in \( K_2MnO_4 \) is +6.
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