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Home » You Won’t Believe Which HBO Shows Are Taking Over 2024—Spoiler Alert! - inBeat

You Won’t Believe Which HBO Shows Are Taking Over 2024—Spoiler Alert! - inBeat

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 2Question: A virologist observes that the number of viral particles in a culture dish grows in such a way that the total count modulo 13 cycles every 4 hours, and the remainder is always 7. If the initial count is less than 100, what is the largest possible initial viral count?

📌 Solution: We are told that the viral count modulo 13 is always congruent to 7, i.e.,

📌 and the count $ N < 100 $. We seek the largest such $ N $.

📌 for integer $ k $. We require $ N < 100 $, so:

📌 Thus, the largest integer $ k $ is 7. Substituting:

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