The correct option is A 2,2−dimethylpropane
The carbon atom at the center has 4 methyl groups attached to it. If you carefully count the number of ways we can choose the longest chain, there would be 6 such ways.
Irrespective of the choice, the central carbon gets numbered '2'. Also there are 2 methyl groups attached to the central carbon atom.
∴ The primary suffix here is -ane, word root is 'prop' and prefix is 2,2-dimethyl. Hence, the IUPAC name is 2,2-dimethylpropane.