(b)
The electronic configuration of $O_{2}^{2 -}$ ion is
$O_{2}^{2 -} - \sigma 1s^{2},\ _{\sigma}^{*}1s^{2}\ \sigma 2s^{2},\ _{\sigma}^{*}2s^{2},\sigma 2p_{z}^{2}\ ,\ \pi 2p_{x}^{2},\pi 2p_{y}^{2},\ \ _{\pi}^{*}2p_{x}^{2},\ _{\pi}^{*}2p_{y}^{2}\$
Hence, number of antibonding electron pair in $O_{2}^{2 -}$ molecular ion are four.