Answer: A. Positive 2,4-DNP + negative Tollens' → X is a ketone. Product is 2-methyl-2-butanol: (CH₃)(C₂H₅)C(OH)(CH₃). The Grignard adds CH₃ to the carbonyl carbon. Working backward: remove the added CH₃ from the tertiary carbon → the ketone was CH₃COC₂H₅ (butanone). This requires two reasoning steps: (1) identify ketone vs aldehyde, (2) reverse-engineer the Grignard product.
Why B is wrong: Acetone + CH₃MgBr → 2-methyl-2-propanol (tert-butanol), which has 4 carbons. The product stated is 2-methyl-2-butanol (5 carbons), so the ketone must have 4 carbons (butanone), not 3 (acetone).
Why C is wrong: Acetaldehyde is an aldehyde — it would give a positive Tollens' test (silver mirror), contradicting the observations.
Why D is wrong: Propanal is an aldehyde — it would reduce Tollens' reagent. Additionally, aldehyde + CH₃MgBr gives a secondary alcohol, not a tertiary alcohol.