The correct option is A IV>III>I>II
The stability order of the carbanions can be determined using the −M effect of the substituents present at the para position. Higher the −M power of the substituents, higher will be the stability of the carbanion.
The order of −M power of the substituents is:
−NO2>−CN>
−CH3>−OCH3 shows +M effect
Therefore, the stability order of the carbanions will be:
IV>III>I>II