Step 1: Analyzing reaction with Grignard reagent (CH\(_3\)MgBr).
- The Grignard reagent reacts with carbonyl compounds (such as ketones and aldehydes), forming an alcohol upon hydrolysis.
- If the compound has symmetry or specific configurations, the product can be achiral.
Step 2: Considering the given options.
- Option (A): 3,4-epoxyhexane, cyclohexanone, and butanone. The epoxy group in 3,4-epoxyhexane reacts with the Grignard reagent to form a symmetric alcohol, which is achiral. Cyclohexanone and butanone will form chiral products after reaction, thus this set does not satisfy the requirement.
- Option (B): ethyl propionate, phenylacetyl chloride, and cyclohexanone. The set contains chiral products. Therefore, not the correct set.
- Option (C): butanone, ethyl propionate, and cyclohexanone are all compounds that will yield achiral products upon reaction with CH\(_3\)MgBr, fulfilling the requirement.
- Option (D): ethyl phenyl ketone, 3,4-epoxyhexane, and phenylacetyl chloride do not all give achiral products.
Final Answer:
\[
\boxed{\text{The correct set is (C) butanone, ethyl propionate, and cyclohexanone.}}
\]