**Explanation:**

The correct answer is option 'A' - The Kesari (Maharashtra).

**Newspapers advocating revolutionary terrorism after 1905:**

1. **The Kal (Maharashtra):** The Kal was a Marathi newspaper published from Maharashtra. It was known for its radical and revolutionary views and actively advocated for revolutionary terrorism. It played a significant role in promoting the revolutionary movement in Maharashtra.

2. **The Yugantar (Bengal):** The Yugantar was a Bengali newspaper published from Bengal. It was one of the most influential revolutionary newspapers during the early 20th century. The newspaper openly advocated for revolutionary terrorism and played a crucial role in the revolutionary movement in Bengal.

3. **The Sandhya (Bengal):** The Sandhya was another prominent Bengali newspaper published from Bengal. It was closely associated with the revolutionary movement and actively supported revolutionary terrorism. The newspaper played a significant role in spreading revolutionary ideas and mobilizing the youth for the freedom struggle.

**The Kesari (Maharashtra):**

The Kesari was a prominent Marathi newspaper published from Maharashtra. It was founded by Bal Gangadhar Tilak, one of the most prominent leaders of the Indian freedom movement. The Kesari focused on nationalistic and social issues, but it did not advocate revolutionary terrorism after 1905.

Tilak, the editor of The Kesari, believed in a more moderate approach towards the freedom struggle. He emphasized the use of mass movements, boycotts, and non-cooperation to achieve independence. Tilak's ideology was centered around the concept of Swaraj (self-rule) and he believed in the power of education and national awakening to bring about change.

Although The Kesari played a significant role in mobilizing the masses and raising awareness about the freedom struggle, it did not actively promote or advocate for revolutionary terrorism. Tilak's approach was more focused on mass agitation and empowering the common people to fight for their rights.

In conclusion, among the given options, The Kesari (Maharashtra) is the newspaper that did not advocate revolutionary terrorism after 1905.