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Home » Trapped? PUZZLE YOUR WAY OUT: Escape the Room Online NOW! - Sterling Industries

Trapped? PUZZLE YOUR WAY OUT: Escape the Room Online NOW! - Sterling Industries

📅 April 18, 2026 👤 scraface

Apr 18, 2026

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📌 A mammalogist studying the social behavior of mammals in the African savanna notices that certain group formations repeat in a particular pattern every few days. If the pattern repeats every 12 days and another behavior repeats every 15 days, how many days will it take for both patterns to align on the same day again?

📌 To find when both patterns align, we need to calculate the least common multiple (LCM) of the two periods, 12 days and 15 days.

📌 A materials scientist developing advanced materials for use in flexible electronics needs to determine the smallest three-digit number divisible by 8, 9, and 10 for a structural analysis test. What is that number?

📌 To find the smallest three-digit number divisible by 8, 9, and 10, we first determine the least common multiple (LCM) of these numbers.

📌 An entrepreneur launching a technology startup in the field of renewable energy calculates the energy output over four consecutive days as 10500 kWh, 10502 kWh, 10504 kWh, and 10506 kWh. What is the remainder when the total energy output over these four days is divided by 7?

📌 First, calculate the total energy output:

📌 Solution: Let the number be $x$. Then we are given:

📌 We solve the system using the Chinese Remainder Theorem. Find $x$ such that:

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