Answer:
Option C
Explanation:
The half equations of the reaction are
$MnO_{4}^{-}\rightarrow Mn^{2+}$
$C_{2}O_{4}^{2-}\rightarrow CO_{2}$
The balanced half equation are
$MnO_{4}^{-}+8H^{+}+5e^{-}\rightarrow Mn^{2+}+4H_{2}O$
$C_{2}O_{4}^{2-}\rightarrow2CO_{2}+2e^{-}$
On equating number of electrons, we get
$2MnO_{4}^{-}+16H^{+}+10e^{-}\rightarrow2Mn^{2+}+8H_{2}O$
$5C_{2}O_{4}^{2-}\rightarrow10CO_{2}+10e^{-}$
On adding both equations , we get
$2MnO_{4}^{-}+5C_{2}O_{4}^{-}+16H^{+}\rightarrow 2Mn^{2+}+2\times 5CO_{2}+\frac{16}{2}H_{2}O$
Thus, x,y, and z are 2,5 and 16 respectively.