At a sports meet, 50 students are ranked in running and in swimming, with no two students sharing a rank in either event. Sanya is 18th from the top in running and 21st from the bottom in swimming. Tarun is 9 places below Sanya in running and 5 places above Sanya in swimming. What are Tarun’s rank in running from the bottom and his rank in swimming from the top, respectively?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 24th and 25th
Work with ranks from the top first: rank from the top = 50 − rank from the bottom + 1. A place below means a larger number; a place above means a smaller number.
Running: Sanya is 18th from the top; Tarun is 9 places below: \(18+9=27\)th from the top
Tarun in running from the bottom \(=50-27+1=24\)th
Swimming: Sanya \(=50-21+1=30\)th from the top
Tarun is 5 places above her: \(30-5=25\)th from the top
So Tarun is 24th and 25th