The correct matching is as follows:
- A. Ethanol has a \( pK \) value of 15.9, so \( A - II \).
- B. Phenol has a \( pK \) value of 10.0, so \( B - I \).
- C. \( m \)-Nitrophenol has a \( pK \) value of 8.3, so \( C - IV \).
- D. \( p \)-Nitrophenol has a \( pK \) value of 7.1, so \( D - III \).
Hence, the correct matching is \( A - II, B - I, C - IV, D - III \).
The Correct Answer is: A-II, B-I, C-IV, D-III
\( \text{M} \xrightarrow{\text{CH}_3\text{MgBr}} \text{N} + \text{CH}_4 \uparrow \xrightarrow{\text{H}^+} \text{CH}_3\text{COCH}_2\text{COCH}_3 \)