Final answer:
The reference materials provided do not explicitly state which traits presidents were rated higher on for being ideologically consistent. However, in the context of presidential behavior and public opinion, consistent messaging may improve perceptions of (b) competence and (d) strength.
Step-by-step explanation:
The question asks about a study that rated presidents based on the consistency of their ideological messages and in which traits they were rated higher when they were consistent compared to when they were inconsistent. The options given include a set of traits such as intelligence, competence, warmth, strength, and combinations of these traits. While the provided reference materials do not explicitly state the answer to this question, they do discuss various aspects of presidential behavior, public opinion, and how presidents are perceived based on their actions and leadership qualities.
Without the specific study in question, we cannot definitively answer which traits presidents were rated higher on when consistent in their ideological messages. However, based on the general themes in the provided materials, one might infer that consistent messaging could enhance perceptions of competence and strength as they relate to a president's leadership abilities and decision-making processes.