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Home » Top 10 Most Unique Tree Names That Will Blow Your Mind! - ECD Germany

Top 10 Most Unique Tree Names That Will Blow Your Mind! - ECD Germany

📅 May 8, 2026 👤 scraface

May 08, 2026

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📌 Question: How many of the first 200 positive integers are congruent to 3 (mod 5)?

📌 Question: What three-digit positive integer is one more than a multiple of 7 and two more than a multiple of 5?

📌 Solution: Let $x$ be the integer. Then:

📌 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:

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Thus, no exact solution? But must be solvable.
Ah — perhaps the total usage is used to verify. Lets use equations.
Wait — perhaps ratio is approximate, but problem expects algebraic sol...
Unless — maybe total is not 18? But stated.
But perhaps use usage to find actual numbers.
Let s = number of stone tools, b = bone tools
From s + b = 18 and 120s + 75b = 1800
Multiply first equation by 75: 75s + 75b = 1350
But problem says ratio is 3:1 — so inconsistency.
Wait — unless the ratio is not exact? But its stated as fact.

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