Compound (A) on oxidation with hot `KMnO_(4)//overset(Theta)OH` gives two compound `CH_(3)-underset(CH_(3))underset("| ")"CH"-COOH and CH_(3)-overset(O)overset(||)C-CH_(2)-CH_(2)-CH_(3)`
compound (A) will have the structures :

Options

A. `CH_(3)-CH_(2)-underset(CH_(3))underset("| ")"C "=underset(CH_(3))underset("| ")"C "-CH_(2)-CH_(3)`
B. `CH_(3)-underset(CH_(3))underset("| ")"CH"=underset(CH_(3))underset("| ")"C "-CH_(2)-CH_(2)CH_(3)`
C. `CH_(3)-underset(CH_(3))underset("| ")"CH"-C-=C-CH_(3)`
D. `CH_(#)-underset(CH_(3))underset("| ")"CH"-C-=C-underset(CH_(3))underset("| ")"CH"CH_(3)`

Explanation

To determine the structure of compound (A) based on the information given, we need to analyze the products formed after oxidation with hot KMnO4 in the presence of OH-. The products are:

1. **Carboxylic acid:** \( CH_3-COOH \) (Acetic acid)
2. **Ketone:** \( CH_3C(=O)CH_2CH_2CH_3 \) (A ketone with a five-carbon chain)

### Step-by-Step Solution:

1. **Identify the Products:**
- The first product is a carboxylic acid, which suggests that one part of the original compound (A) must contain a carbon that can be oxidized to a carboxylic acid.
- The second product is a ketone, indicating that there is a carbon-carbon double bond in compound (A) that gets cleaved during the oxidation process.

2. **Determine the Structure of Compound (A):**
- The presence of both a carboxylic acid and a ketone suggests that compound (A) is likely an alkene or alkyne, as these can undergo oxidative cleavage.
- The carboxylic acid \( CH_3-COOH \) indicates that one of the fragments after cleavage is a methyl group (CH3) attached to a carbon that is oxidized to COOH.
- The ketone \( CH_3C(=O)CH_2CH_2CH_3 \) indicates that the other fragment has a longer carbon chain.

3. **Construct the Alkene Structure:**
- The simplest structure that can yield both products upon oxidative cleavage is an alkene.
- The double bond in compound (A) must be between the carbon that leads to the ketone and the carbon that leads to the carboxylic acid.

4. **Final Structure:**
- The most likely structure for compound (A) is:
\[ CH_3-CH=CH-CH_2-CH_3 \]
- This structure contains a double bond between the second and third carbon atoms. Upon oxidation, it will yield the carboxylic acid and ketone as described.

### Conclusion:
The structure of compound (A) is \( CH_3-CH=CH-CH_2-CH_3 \).