Mathematics · Data Interpretation

In a business school, a course has a common midterm (MT) and a common endterm (ET) worth 100 marks each. ET contains more questions than MT. Each of MT and ET has at least four questions worth 5 marks, at least three questions worth 10 marks, and at least two questions worth 15 marks. In both exams, all 5-mark questions precede 10-mark questions, which in turn precede 15-mark questions. Annie prepared the 5th question for both MT and ET, which carried 5 marks in MT. Annie prepared only one question for MT, while every other faculty member (Beti, Chetan, Dave, Esha, Fakir) prepared more than one. All questions prepared by any faculty member appeared consecutively in both exams. Chetan prepared the 3rd question in both MT and ET, and Esha prepared the 8th question in both. Fakir prepared the 1st question of MT and the last one in ET. Dave prepared the last question of MT and the first one in ET. Considering MT and ET together, each faculty member prepared the same number of questions. Who prepared the 15-mark questions for MT and ET?