Professor Bilal had the task of giving grades (ranging from A - D in descending value) to her 100 students, based upon the marks they received in three examinations in which the passing mark was 50%. She was instructed to follow the following criteria:
i. All students that scored between 90 and 100% in any two examinations could receive an A grade.
ii. Students that came in the top decile overall were to be awarded an A.
iii. Notwithstanding I and II, if any student failed an exam, the highest he or shed could get was a b.
iv. The top 20 students in the whole year, when the overall exam percentages were averaged, could receive an A.
Given the above criteria, which of the following in the absence of further information, would definitely not be permissible ?
