Step 1: Understanding the Hindu Mahasabha.
The Hindu Mahasabha was a right-wing Hindu nationalist organization founded in 1915 by Vinayak Damodar Savarkar and others. It aimed to protect and promote the interests of Hindus and was involved in various aspects of Indian politics, particularly in the early 20th century.
Step 2: Analyzing the options.
(A) 1905: The Hindu Mahasabha was not established in 1905.
(B) 1910: The Hindu Mahasabha was not established in 1910.
(C) 1915: Correct. The Hindu Mahasabha was established in 1915.
(D) 1929: This is incorrect. The Hindu Mahasabha was founded earlier, in 1915.
Step 3: Conclusion.
The correct answer is (C) 1915, as that is when the Hindu Mahasabha was founded.