Step 1: Determine the number of days in 2016
Since 2016 was a leap year, it had:
\[
366 \text{ days}
\]
which consists of:
\[
52 \text{ weeks} + 2 \text{ extra days}.
\]
Step 2: Determine the day of the week for 31 December 2016
Since 1 January 2016 was a Friday, and 2016 has 2 extra days beyond complete weeks, we move forward by 2 days:
\[
\text{Friday} + 1 = \text{Saturday}
\]
\[
\text{Saturday} + 1 = \text{Sunday}
\]
So, 30 December 2016 was a Friday, and 31 December 2016 was a Saturday.
Final Answer: (A) Saturday