The correct answer is option 1, Neelum Saran Gour, who was awarded The Hindu Prize in Fiction category for the year 2018.

Let`s dissect each option to understand why option 1 is the correct answer:

Option 1: Neelum Saran Gour - This is the correct answer. Neelum Saran Gour is the author who was awarded The Hindu Prize in Fiction category for the year 2018.

Option 2: N Kalyan Raman - This option is incorrect. N Kalyan Raman is not the author who was awarded The Hindu Prize in Fiction category for the year 2018.

Option 3: Manoranjan Byapari - This option is incorrect. Manoranjan Byapari is not the author who was awarded The Hindu Prize in Fiction category for the year 2018.

Option 4: Arunav Sinha - This option is incorrect. Arunav Sinha is not the author who was awarded The Hindu Prize in Fiction category for the year 2018.

In conclusion, Neelum Saran Gour is the correct answer as she was awarded The Hindu Prize in Fiction category for the year 2018.