What is the maximum possible number of carbon atoms in the longest continuous carbon chain (parent chain) for an alkane that contains exactly one quaternary carbon atom and no tertiary carbon atoms?

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A quaternary carbon is bonded to four other carbons. To maximize the parent chain without creating tertiary carbons, the quaternary carbon must be bonded to two primary carbons (methyl groups) and two secondary carbons (part of the main chain). For example, in 3,3-dimethylpentane, the C-3 is quaternary, bonded to two methyls and two ethyl groups. The longest chain is 5 carbons. No tertiary carbons are present.

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JEE Advanced 2028 (Class 11)