Answer & solution
Answer: (c) Kakatiyas
The Kohinoor diamond was originally found in the Kollur Mine in the Guntur region, which was under the Kakatiya dynasty of Telangana (13th century). The Kakatiyas were its earliest known owners, after which it passed to the Delhi Sultanate (under Alauddin Khilji who sacked Warangal), then the Mughals, Persians, Afghans, Sikhs, and finally the British. Option 3 is correct.
Option 1 is wrong: The Rajputs were not the original owners of the Kohinoor; the diamond originated in the Kakatiya kingdom's territory and was never associated with Rajput rulers.
Option 2 is wrong: The Mughals did possess the Kohinoor (Babur acquired it after the Battle of Panipat in 1526, having received it from the Lodi dynasty who got it from earlier rulers), but they were not the INITIAL owners — the Kakatiyas were.
Option 4 is wrong: The Afghans (specifically Ahmad Shah Durrani of the Durrani Empire) possessed the Kohinoor after taking it from the Mughals, but the Afghans were not the initial owners of the diamond.