Explanation

In this question, we want to know if the deadline for a response falls on a Friday, and we know the 84 hour limit, so we are going to need some information about when the inquiry was placed. On to the statements, separately first.

Statement (1) tells us that the inquiry was placed on a Tuesday. That fact admits a range of possibilities, we can analyze by cases. Case I: say the inquiry was placed at 1:00 am on Tuesday. Then, 24 hours later is 1:00 am Wednesday, 48 hours later is 1:00 am Thursday, 72 hours later is 1:00 am Friday, and adding 12 more hours gives us a deadline of 1:00 pm Friday. In that case, the answer to the question is, "yes." However, we can make a Case II in which we push forward the inquiry date by 12 hours. That's still allowed, because the inquiry falls on a Tuesday (at 1:00 pm), but it will push the deadline to 1:00 am Saturday, and in this case the answer to the question is "no." As we can't make a single definitive answer to the question, Statement (1) is insufficient.

Statement (2), alone, doesn't tell us which day we are talking about! If the inquiry could happen at 3:00 pm Tuesday and be due 3:00 am Saturday morning; or it could happen Monday at 3:00 pm and be due on Friday. Insufficient.

When the statements are combined, the range of possibilities has been narrowed to Tuesday from 2:00 pm to 4:00 pm. The corresponding range of possible deadline times is on Saturday from 2:00 am to 4:00 am. The answer to the question for this entire range of possibilities is "no," so we are able to answer the question definitively. The statements are sufficient together.

The correct answer is (C).