Step 1: Define resonance.
Resonance occurs in molecules having conjugated \(\pi\)-electron systems or lone pair participation.
Step 2: Analyze the options.
Aniline, nitrobenzene, and phenol all contain benzene rings where delocalisation of \(\pi\)-electrons occurs.
Step 3: Identify exception.
Cyclohexane is a saturated compound with only \(\sigma\)-bonds and no delocalised electrons.
Step 4: Conclusion.
Therefore, cyclohexane does not exhibit resonance.