(a) In a test consisting of 90 questions, Ama answered 75% of the first 40 questions correctly. If she had to get a score of 80% in the test,
(i) how many questions did she answer correctly out of the first 40 questions?
(ii) how many questions should she answer correctly out of the 90 questions ?
(iii) what percentage of the remaining 50 questions should she answer correctly in order to get the 80%?

(b) Three interior angles of a pentagon are 100°, 120° and 108°. Find the size of each of the remaining two interior angles, if one of them is three times the other.