This type of indian temple architecture has a beehive-like tower meant to recall a mountain peak (the abode of the gods), is topped with an amalaka (ribbed cushion-like foam), and has smaller tower-like roofs over the halls (mandapas) leading to the inner chamber:

Nagara style is the correct answer.

Explanation:

Shikhara means a mountain peak. In Indian Architecture it means the rising tower of Hindu temples . Shikharas are also found in Jain temples and is the most visible part of a temple. It is build over the garbhgriha (Sanctum Sanatorum). In southern part of the subcontinent the Shikhara refers to the whole building including garbhgriha. The northern style of temple making is called Nagara style, the southern style is called Dravida and the mixing of both styles is called Vesara style.

monarchy doesn’t have to have the hereditary element. there have been elective monarchies in the past where you choose your king-for-life and when he dies elect someone else for the job.