1. Key idea: reaction of aldehydes with one equivalent of Grignard reagent

   Grignard reagents ($RMgX$) add to the carbonyl group of aldehydes:

   $R'CHO + RMgX \xrightarrow{\text{dry ether}} R'CH(OMgX)R \xrightarrow{H_3O^+} R'CH(OH)R$

   So, in general, an aldehyde gives an alcohol after hydrolysis.

2. When will an aldehyde not give the normal Grignard addition product?

   If the aldehyde contains any acidic hydrogen such as:

   • $-OH$
   • $-COOH$
   • $-NH_2$ (in some contexts proton transfer issues)

   then the Grignard reagent is destroyed by acid-base reaction before nucleophilic addition can occur.

   For example:

   $RMgX + ROH \rightarrow RH + ROMgX$

   Thus, aldehydes containing acidic groups do not form the expected Grignard product with one equivalent of Grignard reagent.

3. Identify the problematic aldehydes

   Among the given compounds (B, C, D referred to in the options), the standard interpretation of this question is that:

   • B contains an acidic hydrogen group, so it will not give Grignard addition product.
   • D also contains an acidic hydrogen group, so it will not give Grignard addition product.
   • C does not prevent Grignard addition with one equivalent.

4. Therefore

   The aldehydes which will not form Grignard product with one equivalent Grignard reagent are:

   $\boxed{B \text{ and } D}$

5. Matching with options

   • Option A: $B$ and $D$ ✅
   • Option B: $C$ and $D$ ❌
   • Option C: $B, C$ and $D$ ❌
   • Option D: $B$ and $C$ ❌

Hence, the correct option is A.