In this question, we are given a list of names and their corresponding games. We need to match the names with the correct game they play.

Let`s go through each option one by one:

Option 1: A-2, B-3, C-1, D-4

According to this option, Dola Banerjee plays Snooker, Aparna Popat plays Chess, Anuja Thakur plays Badminton, and Parimarjan Negi plays Archery.

This option is incorrect as it does not match the given names with their correct games.

Option 2: A-4, B-1, C-2, D-3

According to this option, Dola Banerjee plays Archery, Aparna Popat plays Badminton, Anuja Thakur plays Snooker, and Parimarjan Negi plays Chess.

This option matches the given names with their correct games, so it is the correct answer.

Option 3: A-2, B-1, C-3, D-4

According to this option, Dola Banerjee plays Snooker, Aparna Popat plays Archery, Anuja Thakur plays Chess, and Par