The correct option is B III>II>I>IV
Electron donating groups (EDG) favours SN1 reactivity with HBr. Electron withdrawing groups (EWG) retards SN1 reactivity with HBr.
Electron donating effect of (−OMe) group (+R,−I) is greater than (−Me) group (+I and H.C.). So, reactivity of III>II.
In (IV), (−OMe), group is at m− position and exerts only −I effect and so reactivity of (IV) is less than (I).
So, the reactivity order is: III>II>I>IV.