The correct IUPAC name for the compound given is:
(correct answer +1, wrong answer -0.25)

3-Ethyl-6-formylheptanoic acid

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3-Ethyl-6-methyl-7-oxoheptanoic acid

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3-Ethyl-6-methyl heptan-7-aloic acid

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5-Ethyl-2-methyl-1-oxoheptanoic acid

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Solution

The correct option is B 3-Ethyl-6-methyl-7-oxoheptanoic acid
Here principle functional group is carboxyl group, so the numbering start from its carbon considering longest alkyl chain.
The correct IUPAC name for the compound is 3-Ethyl-6-methyl-7-oxoheptanoic acid.

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