hard · LSAT Logical Reasoning

Either the bridge was closed for repairs on Tuesday or the detour signs were posted by mistake. If the mayor's account is accurate, then the bridge was not closed for repairs on Tuesday. The contractor's invoice, however, shows repair work billed for Tuesday, and that invoice is accurate only if the bridge was in fact closed that day. We know the detour signs were not posted by mistake. Which one of the following can be properly inferred from these statements?

1. The mayor's account is not accurate, and the contractor's invoice could be accurate.
2. If the contractor's invoice is accurate, then the detour signs were posted by mistake.
3. Either the mayor's account is accurate or the contractor's invoice is not accurate.
4. The detour signs were posted by mistake, and the mayor's account is accurate.
5. The contractor's invoice is not accurate, but the mayor's account is accurate.

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