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Mathematics · 2022

JEE Main · 30 June 2022, Shift 1 · Q26

A hostel has 100 students. On a certain day (consider it day zero) it was found that two students are infected with some virus. Assume that the rate…

A hostel has $\displaystyle 100$ students. On a certain day (consider it day zero) it was found that two students are infected with some virus. Assume that the rate at which the virus spreads is directly proportional to the product of the number of infected students and the number of non-infected students. If the number of infected students on $\displaystyle 4^{\text {th }}$ day is $\displaystyle 30$, then number of infected students on $\displaystyle 8^{\text {th }}$ day will be \_\_\_\_.
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