If an officer's vote is treated as more valuable than a common citizen's vote, which idea becomes weak?

Correct answer: Political equality

The direct answer is C: political equality would become weak. One person, one vote, one value means that a person’s official position must not make the person’s vote more powerful. Reasoning step by step: the officer and the ordinary citizen are both citizens; each has one vote; each valid vote must have equal political weight. If the officer’s vote is counted as more valuable, citizenship is no longer equal and the election gives unequal influence. Option A, election timing, concerns when voting happens, not the weight of a vote. Option B, secrecy of voting, concerns whether others can know a person’s choice; it does not directly concern equal value. Option C is correct because unequal vote value directly attacks political equality. Option D, the voter list, records eligible voters but does not itself decide whether one vote is stronger. Remember: public office may involve duties, but it does not purchase extra voting power.