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The correct answer is option 4, Narmada. Narmada is a west-flowing river in India. Let`s analyze the other options.
Option 1: Mahanadi is not a west-flowing river; it is a major river in Eastern India that flows mostly towards the east and then meanders towards the southeast before emptying into the Bay of Bengal.
Option 2: Godavari is the longest river in peninsular India and is not a west-flowing river. It flows towards the east and meets the Bay of Bengal.
Option 3: Krishna is a major river in South India, but it also does not flow westward. Instead, it flows towards the east and meets the Bay of Bengal.
Therefore, the correct answer is option 4, Narmada. Narmada is a west-flowing river that originates in the state of Madhya Pradesh and flows through Gujarat before draining into the Arabian Sea.