$(EtO)_2CH-CHO + CH_3MgI \xrightarrow{H_3O^{+}} (A)$. The product obtained in the above reaction is:

For making a distinction between $2$-pentanone and $3$-pentanone, the reagent to be employed is

Given below are two statements:
Statement $I$ : Acidity of $\alpha$-hydrogens of aldehydes and ketones is responsible for Aldol reaction.
Statement $II$ : Reaction between benzaldehyde and ethanal will $NOT$ give Cross-$Aldol$ product.
In the light of above statements,choose the most appropriate answer from the options given below.

The major product of the following reaction is

Which of the following statements is false?

Which one is most reactive towards nucleophilic addition reaction?