Give logical fragmentation reactions to account for the following ions observed in these mass spectra.
(a) n-octane: $114,85,71,57$
(b) methylcyclohexane: 98,83
(c) 2-methylpent-2-ene: 84, 69
(d) pentan-1-ol: 70, 55, 41, 31
(e) $N$-ethylaniline $\left(\mathrm{PhNHCH}_2 \mathrm{CH}_3\right): 121,106,77$
*(f) 1-bromo-2-methylbutane: 152, 150, 123, 121, 71 (base)