(A) by dint of means "by means of/through" → fits (III) "Radha succeeded by dint of perseverance and hard work" ✓
(B) In order to means "for the purpose of" → fits (I) "In order to avoid litigation, he accepted the settlement money" ✓
(C) On behalf of means "as a representative of/for" → fits (II) "Fighting on behalf of his country in the war, he achieved martyrdom" ✓
(D) In lieu of means "instead of/in place of" → fits (IV) "Sameer accepted the car in lieu of his claimed money" ✓
Hence, Option 1: (A) - (III), (B) - (I), (C) - (II), (D) - (IV) → All phrases are correctly matched with their appropriate contexts: "by dint of" expresses means/method, "in order to" expresses purpose, "on behalf of" expresses representation, and "in lieu of" expresses substitution → correct