P. CX6HX6OX3 that gives the ferric chloride test, has no intramolecular H-bond, and forms a trioxime with 3 equivalents of NHX2OH is phloroglucinol (benzene-1,3,5-triol). Its keto tautomer is cyclohexane-1,3,5-trione, which is what reacts as a triketone.
Q. The trioxime of that triketone.
R. Excess CHX3I/KOH C-methylates each active CHX2 twice, giving 2,2,4,4,6,6-hexamethylcyclohexane-1,3,5-trione: 6 methyl groups.
S. Excess iso-butylmagnesium bromide adds to each C=O, giving three tertiary alcohols, each carrying a −CHX2CH(CHX3)X2 group (2 CHX3 each):
6+3×2=12 CHX3 groups.
Alternative. The three ketones are very hindered, so iso-butyl Grignard can instead act as a hydride donor (β-hydride transfer). That reduces them to the triol, which keeps only the 6 ring methyls. The official key accepts 6 or 12.