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Solution
The correct option is B 5-bromo-6-chloro-8-hydroxy-8-methylnona-4,6-dien-2-ynedioic acid
Here, hydroxy does not get the number 2 because it is treated as a substituent after numbering the main chain, so preference goes to the triple bond. So the name given is 5-bromo-6-chloro-8-hydroxy-8-methylnona-4,6-dien-2-ynedioic acid.