Option 1: Both A and R are true and R is the correct explanation of A.

This option suggests that both the assertion (A) and the reason (R) are true, and the reason provided is a correct explanation for the assertion. In this case, the assertion states that the Constitution of India provides for the appointment of a governor for a State for a period of five years. The reason states that the Governor holds office at the pleasure of the President. These two statements support each other, as the appointment of a governor for a state for a period of five years is in line with the President having the authority to remove the governor before the completion of their term. Therefore, option 1 is stating that both the assertion and the reason are true, and the reason provides a correct explanation for the assertion.

Option 2: Both A and R are true but R is not a correct explanation of A.

This option suggests that both the assertion (A) and the reason (R) are true, but the reason is not a correct explanation for the assertion. This means that while both statements may be individually true, they are not directly correlated. However, in this case, the reason does provide a valid explanation for the assertion, as explained above. Therefore, option