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Home » This is a contradiction, so there is no solution. - Deep Underground Poetry

This is a contradiction, so there is no solution. - Deep Underground Poetry

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Question: How many positive 4-digit numbers are divisible by both 9 and 11?

📌 Solution: A number divisible by both 9 and 11 must be divisible by their least common multiple. Since 9 and 11 are coprime,

📌 We need to count the number of 4-digit numbers divisible by 99. The smallest 4-digit number is 1000, and the largest is 9999.

📌 The number of multiples from 11th to 101st is:

📌 Question: Three solar panels on a Mars habitat generate a total of 72 kilowatt-hours (kWh) over a 6-day cycle. If each panel produces the same amount per day, how many kilowatt-hours does one panel generate in 2 days?

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📌 We want the largest such $ v $. Take the square root of 1000:

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