Virus-group elimination:
Peanut bud necrosis disease is caused by a tospovirus, and tospoviruses as a group are transmitted exclusively by thrips species, never by aphids or mealybugs. This immediately rules out combination (A), which lists aphid species (Aphis gossypii, Myzus persicae), combination (B), which lists other aphid species (Aphis maydis, Toxoptera graminum), and combination (D), which lists mealybug or related homopteran species (Planococcoides njalensis, Pentalonia nigronervosa). Only combination (C), Thrips palmi and Frankiniella schultzei, consists of genuine thrips species capable of transmitting this tospovirus.
Hence, the correct answer is (C) only.