Frame it as a contact-management problem. The picture is the classic diphtheritic pseudomembrane, but the marks are for the sibling, not the patient. The sibling is 3 years old and fully immunized.
Schedule check: in the national programme the DPT booster lands at 16 to 24 months and again at 5 years. So a fully covered 3-year-old has received the 16 to 24 month booster very recently and already has protective antitoxin. That immunity is current.
Choosing the action: an extra toxoid booster (A) or a fresh full DPT course (B) is redundant in someone already up to date, and antibiotic prophylaxis (C) is meant for unimmunized or incompletely immunized contacts, or carriers, not for a recently boosted child. With protection in place and the booger not due until age 5, the right move for exam purposes is to do nothing extra, option D. Ref: Park's Textbook of Preventive and Social Medicine, 25e, p.174.