Step 1: The image shows the grey pseudomembrane of diphtheria. The question is about protecting a contact: a fully immunized 3-year-old sibling.
Step 2: Under the national schedule, DPT boosters are given at 16 to 24 months and again at 5 years. A fully immunized 3-year-old has therefore had the 16 to 24 month booster within the last 1 to 2 years and carries protective antitoxin levels.
Step 3: Because the sibling is recently and adequately immunized, no extra dose or chemoprophylaxis is needed for exam purposes, so the answer is nothing is required to be done. A booster (option A) or full DPT course (option B) is not indicated when immunization is already up to date, and prophylactic antibiotics are reserved for unimmunized or under-immunized close contacts. Ref: Park's Textbook of Preventive and Social Medicine, 25e, p.174.