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Home » Click ‘Yes’ and Feel the Shock—You Won’t Believe the Result! - Treasure Valley Movers

Click ‘Yes’ and Feel the Shock—You Won’t Believe the Result! - Treasure Valley Movers

📅 April 19, 2026 👤 scraface

Apr 19, 2026

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📌 The smallest positive $ n $ occurs when $ m = 0 $:

📌 Question: A palynologist is categorizing pollen samples and finds that a particular type appears in clusters that are multiples of 18 and 24, but not in clusters that are multiples of 30. What is the smallest such cluster size greater than 100?

📌 Solution: We are looking for the smallest integer greater than 100 that is a common multiple of 18 and 24, but not a multiple of 30. First, compute the least common multiple (LCM) of 18 and 24:

📌 Question: An electrical engineer is modeling a smart citys energy grid where peak demand cycles repeat every 36 days and maintenance cycles repeat every 60 days. How many days will pass before both cycles align again?

📌 Solution: To find when both cycles align, we compute the least common multiple (LCM) of 36 and 60.

📌 Question: A palynologist observes that a certain spore type appears in samples that are congruent to 5 modulo 11 and also congruent to 7 modulo 13. What is the smallest such sample size greater than 100?

📌 From the first congruence, write $ n = 11a + 5 $. Substitute into the second:

📌 n = 11(13b + 12) + 5 = 143b + 132 + 5 = 143b + 137

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