An organic compound `(A)` on treatment with ethyl alcohol gives a carboxylic acid `(B)` and compound `( C)`. The hydrolysis of `( C)` under acidic conditions gives `(B)` and `(D)`. Oxidation of `(D)` with `KMnO_4` also gives `(B)`. `(B)` on heating with `Ca(OH)_2` gives `(E)` (molecular formula, `C_3 H_6 O`). `(E)` does not give Tollens test and does not reduce Fehling's solution but forms a `2,4-`dinitrophenyl hydrazone. Identify `(A),(B), ( C), (D)`, and `(E)`.

Explanation

To solve the problem step-by-step, we will identify the compounds (A), (B), (C), (D), and (E) based on the information provided in the question.

### Step 1: Identify Compound B
The question states that compound (A) reacts with ethyl alcohol to produce a carboxylic acid (B) and another compound (C). Since (B) is a carboxylic acid, we can denote it as:
- **(B)**: Ethanoic acid (Acetic acid), \( CH_3COOH \).

### Step 2: Identify Compound C
The reaction of (A) with ethyl alcohol to produce (B) and (C) suggests that (C) is an ester formed from the reaction of the acid with the alcohol. The ester formed from acetic acid and ethyl alcohol is:
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