The sum of total number of carbonyl groups ( >C=O ) present in the major products X and Y in the following reactions is ____.

Step-by-step solution

Reaction 1: The reactant is 2,4-dimethyl-3-oxopentanedioic acid, which is a -keto acid (both - CO ₂ H groups are at the -position with respect to the central ketone group). -keto acids readily undergo decarboxylation upon heating. Since there are two such groups, it will undergo double decarboxylation. HO ₂ C - CH ( CH ₃)- C (= O )- CH ( CH ₃)- CO ₂ H CH ₃- CH ₂- C (= O )- CH ₂- CH ₃ + 2 CO ₂ The major product X is 3-pentanone. Number of carbonyl groups ( > C=O ) in X = 1 . Reaction 2: The reactant is *cis*-3,4-dic