The IUPAC name of  is:                                  [IOE-2068]a. 1,1-dimethyl - 1 - hydroxyl-2-propanoneb. 2-hydroxy-2-methyl-2-butanonec. 3-hydroxy-3-methyl-3-hydroxy butaned. 2-carboxy-3-methyl-3-hydroxy butane

The IUPAC name of  is:                                  [IOE-2068]

a. 1,1-dimethyl - 1 - hydroxyl-2-propanone

b. 2-hydroxy-2-methyl-2-butanone

c. 3-hydroxy-3-methyl-3-hydroxy butane

d. 2-carboxy-3-methyl-3-hydroxy butane

I doubt that the question is wrong as for ( C*HC(CH3)-CO-CH3  ) compound,



 the starred Carbon(C*) doesn't complete 4 bonds.

It should rather be CH3-C(CH3)-CO-CH3



Take the longest change, it has functional group of ketone so set priority order accordingly.

4 Carbon in the longest change and methyl group and OH in 3rd place so;

3-hydroxy 3-Methyl Butan-2-one

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