Correct Answer: Option A

Explanation

To determine the IUPAC name for the compound (CH\(_3\))\(_2\)CHCH(OH)CH\(_2\)C(CH\(_3\))\(_3\), follow these steps: 

1. Identify the longest carbon chain including the hydroxyl (-OH) group: The longest continuous chain containing the hydroxyl group has 6 carbon atoms, so the parent alkane name is hexane, and the compound is a hexanol.
2. Number the carbon chain: Start numbering from the end closest to the hydroxyl group to give the -OH group the lowest possible number. Numbering from left to right puts the -OH on carbon.  The chain is: C1-C2-C3(OH)-C4-C5-C6.    The groups are attached as: two methyls on C2, two methyls on C5.
3. Identify and name the substituents: There are three methyl groups in total. One is on carbon 2, and two are on carbon 5.
4. Combine the information: The substituents are listed with their positions. There are three methyl groups, so we use the prefix "tri-". The full name is 2,5,5-trimethylhexan-3-ol. 

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