In these questions, we represent all possible alternatives in a tabular representation. With the help of the hints, we put a tick or a cross in each cell of the table if that particular cell is definitely true or if it is definitely false. After this, we again go over the table and eliminate any choice which has been rendered impossible by the hint. We represent the information in the question as follows:In the above representation, we have used the following abbreviations:In subjects: P - PhysicsC - ChemistryM - MathsB - BiologyCS - Computer ScienceE - EnglishWe will start with the hints that give us direct information first.Using hint 7, neither A nor E had scored 82, nor were their scores scored in Biology or Physics.Using hint 8, C had scored 86, but not in Physics.Using hint 10, Ds score was in Maths.Using hint 5, 82 was not scored in Maths.C scored 86 from point 8, also, 88 was scored in Biology and 84 was scored in Computer Science, so C did not appear in Biology or Computer Science.Using hint 4, the score in English was not 86.Hence, C gave the Chemistry exam.Since B and F will score in Physics and Biology, A and E will score in Computer Science and English.Using hint 9, A did not score 84 or 89.Using hint 3, 84 was scored in Computer Science and the one who scored it was the topper.Hence, A scored in English.Using hint 6, B was not second, the person who was second scored 82.Using hint 2, 88 was scored in Biology.Filling the remaining places,Using hint 1, the numerical sum of the ranks and the marks of C and D are the same.D scored 89.