E7A07: What logical operation does a NAND gate perform?

Direct answer summary (2024-2028 NCVEC pool)

The official correct answer for E7A07 is It produces a 0 at its output only if all inputs are 1.

The key fact is It produces a 0 at its output only if all inputs are 1. Match that fact to the exact condition in the question; the other choices describe a different rule, band, component, or operating situation.