Detailed Solution:
The correct answer is “(A) is true and (R) is false”.
Aurangzeb did indeed succeed Shahjahan to the Mughal throne.
The law of primogeniture (where the eldest son inherits the throne) was not strictly followed in the Mughal succession system. The Mughal throne was often acquired through a process of power struggles and military confrontations among the sons of the emperor. Aurangzeb’s ascension involved a war of succession rather than a straightforward application of primogeniture.