Mathematics · Data Interpretation

In a board exam, six students (Alva, Bithi, Carl, Deep, Esha, Foni) appeared for exams in English, Hindi, Mathematics, Science, and Social Science. Some missed 1 or 2 exams. If a student missed 1 exam, they were awarded the average of the best 3 scores. If they missed 2, they got the average of the best 2 scores. The marks obtained were: - Alva: Eng 80, Hin 75, Math 70, Sci 75, Soc 60 - Bithi: Eng 90, Hin 80, Math 55, Sci 85, Soc 85 - Carl: Eng 75, Hin 80, Math 90, Sci 100, Soc 90 - Deep: Eng 70, Hin 90, Math 100, Sci 90, Soc 80 - Esha: Eng 80, Hin 85, Math 95, Sci 60, Soc 55 - Foni: Eng 83, Hin 72, Math 78, Sci 88, Soc 83 Four students appeared in English, Hindi, Science, and Social Science. The student who missed Mathematics missed no other exam. One student who missed Hindi missed no other exam, and the other missed Hindi and Science. How many out of these six students missed exactly one examination?