There are two ways to do what's required:

(1) Answer all 5 of the first 5 questions, and 3 of the remaining 7.

(2) Answer 4 of the first 5 five questions, and 4 of the remaining 7.

For (1), there's only one way to answer 5 of 5, and 7 choose 3 = 35 ways to select 3 from 7. So there are 35 ways to accomplish (1).

For (2), there are 5 ways to select 4 of the first 5, and 7 choose 4 = 35 ways to select 4 of the remaining 7. So there are 5 * 35 = 175 ways to accomplish (2).

In total, then, I believe the answer would be 35+175=210 ways to do either (1) or (2).

- Steve J