The correct option is A 3-Methylpentan-3-ol
The parent chain has 5 C atoms and an -OH group. So it is named pentanol. It has methyl substituent. The numbering of chain is shown below.
OH|5CH3−4CH2−C3−2CH2−1CH3|CH33−methyl−pentan−3−ol
Hydroxy is used when −OH group is written in prefix. So, choice (b) and (c) are wrong.