The correct option is D III and IV
Since the rate determining step of SN1 reaction involves carbocation formation.
Rate of reaction∝stability of carbocation
Electron donating −CH3 group stabilizes benzylic carbocation and hence increases the reactivity of corresponding substrate. So III is most reactive followed by I.
Comparing II and IV, strong electron withdrawing −NO2 decreases the stability of carbocation and hence decreases the reactivity of corresponding substrate in SN1 reaction as compared to Br. So IV is least reactive than II.
The overall reactivity order is III>I>II>IV