In an examination Roma was ranked $$8^{th}$$ from the top and Arjun was ranked $$9^{th}$$ from the bottom. In the next exam their rankings were interchanged, hence Arjun became $$28^{th}$$ from the bottom. How many total students were there, if equal number of students gave both the exams?
Roma was ranked $$8^{th}$$ from the top, and Arjun was ranked $$9^{th}$$ from the bottom. In the next exam, their rankings were interchanged. This means Arjun is ranked $$8^{th}$$ from the top and is also given as $$28^{th}$$ from the bottom. So, there are seven people ahead of Arjun and 27 below Arjun. The total number of students is 7+27+1(Arjun) = 35.