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Home » From Set to Screen: Unlocking the Hidden Secrets of Lego Ninjago Heroes! - Upplift

From Set to Screen: Unlocking the Hidden Secrets of Lego Ninjago Heroes! - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 \text{LCM}(7, 5) = 7 \times 5 = 35

📌 Therefore, the smallest positive integer divisible by both 7 and 5 is

📌 \boxed{35}

📌 Question: A palynologist collects pollen samples from 12 different regions. If she wants to group the regions into clusters such that each cluster contains the same number of regions and the number of clusters is more than 1 but fewer than 6, what is the largest possible number of regions in each cluster?

📌 Solution: We are given that the total number of regions is 12, and the number of clusters must be an integer between 2 and 5 inclusive. We want to maximize the number of regions per cluster, which means minimizing the number of clusters (while satisfying the constraints).

📌 The possible number of clusters is 2, 3, 4, or 5. We compute the corresponding number of regions per cluster:

📌 2 clusters: $12 \div 2 = 6$ regions per cluster

📌 3 clusters: $12 \div 3 = 4$ regions per cluster

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