The Lingaraja Temple at Bhubaneswar was built during the rule of the:

The Lingaraja Temple at Bhubaneswar, Odisha, was built during the rule of the Somavamshi (Keshari) dynasty, in the 11th century CE, and was completed later.

About the Lingaraja Temple:

• It is dedicated to Lord Shiva, as "Harihara" (a combined form of Shiva and Vishnu); the linga is worshipped as "Lingaraja" ("king of lingas").
• It was built in the 11th century, traditionally attributed to the Somavamshi king Jajati Keshari (Yayati); some parts were added later by the Eastern Ganga kings.
• It is the largest and most famous temple in Bhubaneswar.
• Its main tower (deul) is about 55 metres (180 feet) high.
• It is a fine example of the "Kalinga" style of temple architecture, a sub-style of the Nagara style.
• The temple complex has about 150 smaller shrines.
• Non-Hindus are not allowed inside the main temple; a viewing platform has been built outside.

The Kalinga style of temple architecture:

The temple has four main parts: the "deul" or "vimana" (sanctum with a tall curved tower, called "rekha deul"), the "jagamohana" (assembly hall with a pyramidal roof, called "pidha deul"), the "nata mandira" (dance hall) and the "bhoga mandapa" (hall of offerings).

The towers are richly carved.

Famous temples of Odisha:

• Parashurameshvara Temple (7th century, Bhubaneswar): one of the earliest.
• Rajarani Temple (11th century, Bhubaneswar): known for its carvings of women and the absence of a presiding deity.
• Jagannath Temple, Puri (12th century): built by the Eastern Ganga king Anantavarman Chodaganga.
• Sun Temple, Konark (13th century): built by the Eastern Ganga king Narasimhadeva I; a UNESCO World Heritage Site (1984).

Bhubaneswar:

It is called the "Temple City of India".

Why not the other options?

• ✗The Eastern Ganga dynasty built the Jagannath and Konark temples.
• ✗The Bhauma-Kara dynasty ruled Odisha earlier (8th-10th centuries) and supported Buddhism.
• ✗The Gajapati dynasty ruled later (15th-16th centuries).