Answer: A, C
The ketone shown is 2-methylcyclohexanone. The kinetic enolate (LDA, −78∘C) is formed at C6 and methylation gives 2,6-dimethylcyclohexanone. The thermodynamic enolate (more substituted, C1=C2) is methylated at C2 to give 2,2-dimethylcyclohexanone. The 2,5-dimethyl compound would need an enolate at C5, which is not alpha to the carbonyl, and the enol ether is an O-alkylation product, not a major one with methyl iodide.