Step 1: Look at what each pair claims.
Four person-work pairs are given, and only one links a writer correctly with the newspaper or book they actually authored.
Step 2: Recall who Tilak was.
Bal Gangadhar Tilak edited the Marathi paper Kesari, using it to voice sharp criticism of British rule and rally nationalist feeling.
Step 3: Rule out the rest quickly.
Anandmath belongs to Bankim Chandra Chattopadhyay, and Amar Jiban was written by Rashsundari Devi, not Pandita Ramabai, so those pairings fail.
Step 4: Settle on the answer.
The only pair that holds up is Tilak with Kesari. The correct answer is option (C).