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Home » Sandshrew Evolution Explosion! How Nature Crafted a Desert Warrior in Just Decades! - SUpost

Sandshrew Evolution Explosion! How Nature Crafted a Desert Warrior in Just Decades! - SUpost

📅 July 6, 2026 👤 scraface

Jul 06, 2026

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📌 Using the Chinese Remainder Theorem, solve this system. From the first congruence, $x = 7k + 1$. Substitute into the second:

📌 Question: What is the smallest four-digit number that is divisible by both 12 and 18?

📌 Solution: To find the smallest four-digit number divisible by both 12 and 18, compute the least common multiple (LCM) of 12 and 18.

📌 Now find the smallest four-digit number divisible by 36. The smallest four-digit number is 1000. Divide 1000 by 36:

📌 Solution: We treat the two specific adjacent books as a single block, reducing the total number of items to arrange from 7 to 6. These 6 items (the block and the other 5 books) can be arranged in $6!$ ways. Within the block, the two books can be arranged in $2!$ ways. Thus, the total number of arrangements is:

📌 Question: A historian notes that in a collection of 10 historical documents, 3 are written by Galileo, 4 by Newton, and 3 by Einstein. If the historian selects 4 documents at random, what is the probability that exactly two are written by Newton?

📌 Question: A biologist observes that a biologist from Europe arrives at a lab at a uniformly random time between 8:00 AM and 9:00 AM, while a biologist from Asia arrives at the same lab at a uniformly random time between 8:30 AM and 9:30 AM. What is the probability that the European biologist arrives before the Asian biologist?

📌 Total favorable = $0.5 + 0.375 = 0.875$. So probability is:

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