IMO B
(1) INSUFFICIENT. We don't know how many directors are present. If 10, 11, 12, 13, 14, or 15 directors are present the resolution will pass because there will be a 2/3 majority. If 16 - 20 directors are present, the resolution will not pass.
(2) SUFFICIENT If 7 vote against the resolution, the resolution cannot pass regardless of the number of directors present.
Assume all 20 directors are present and the remaining 13 vote for the resolution. 13/20 < 2/3, therefore the resolution cannot pass.
The quorum refers to the minimum number of directors required to make a decision. In this case because the quorum is half of 20, you need at least 10 present. And of the 10, you need a 2/3 majority (7 or more) to vote for a resolution. However, if more than 10 are present, you still need a 2/3 majority. If 20 are present, you need 14 or more for the resolution to pass.
I have taken it as a difference of few points. If all 20 are present, the 2/3 of 20 is 13.333 it means that the number must be greater than 13, as we are talking about human beings so the number should be 14 in this case for resolution approval.