JEE Main 2024 Mathematics question
A software company sets up m number of computer systems to finish an assignment in 17 days. If 4 computer systems crashed on the start of the second day, 4 more computer systems crashed on the start of the third day and so on, then it took 8 more days to finish the assignment. The value of m is equal to:
Answer: (B)
Solution
Work = 17m system-days. With crashes over 25 days: Σₖ₌₀²⁴(m − 4k) = 25m − 4 × 300 = 25m − 1200 = 17m, so m = 150.