Continuity on an interval - function continuous at every point in the interval — IITM BS previous year questions

Continuity on an interval - function continuous at every point in the interval is part of Limits and Continuity, Week 7 in Mathematics 1. Prasnya files every IIT Madras BS previous year question from this subtopic here, each one with a worked explanation. Take the whole set as a timed mock and you get accuracy, pacing and per-question analysis back.