The reactions which produce alcohol as the product are: A. CH_ 4...

Analyzing each reaction for alcohol production:
Reaction A: $CH_4 + O_2 \xrightarrow{Mo_2O_3, \Delta}$ produces formaldehyde, not alcohol.
Reaction B: $2CH_3CH_3 + 3O_2 \xrightarrow{(CH_3COO)_2Mn, \Delta}$ produces acetic acid, not alcohol.
Reaction C: $(CH_3)_3CH \xrightarrow{KMnO_4}$ tert-butyl compound undergoes oxidation to produce tert-butyl alcohol as the primary product.
Reaction D: $2CH_4 + O_2 \xrightarrow{Cu/523K/100atm}$ produces methanol (CH₃OH), a primary alcohol.
Reaction E: The diene compound with $KMnO_4/H^+$ produces vicinal diol, which is technically an alcohol but not a simple monoalcohol.
The reactions that predominantly produce alcohols as main products are C and D.