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The correct answer is option 1, Kota. Kota is the most westward located place in India among the given options that has petrochemical industries.
Let`s analyze each option to understand why Kota is the correct answer:
Option 2, Nagpur: Nagpur is located in the central part of India and is not westward in relation to the other options.
Option 3, Barauni: Barauni is located in the eastern part of India and is not westward in relation to the other options.
Option 4, Ujjain: Ujjain is located in the central part of India and is not westward in relation to the other options.
Therefore, Kota is the correct answer as it is the only option that is westward located in India among the given choices.
In conclusion, among the options provided, Kota is the most westward located place with petrochemical industries in India.