Concept:
Functional group isomerism occurs when compounds have:
• Same molecular formula
• Different functional groups
Step 1: Analyze options.
• (A) Methoxymethane (ether) and Ethanol (alcohol) → same formula, different functional groups \checkmark
• (B) But-1-ene and But-2-ene → position isomers $\times$
• (C) Methoxyethane and Methoxypropane → different molecular formula $\times$
• (D) n-Pentane and 2,2-dimethylpropane → chain isomers $\times$
Step 2: Conclusion.
\[
\text{Functional group isomers = Methoxymethane and Ethanol}
\]