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Home » Don’t Miss These 5 Jaw-Dropping Truths About Birchas Hamazon! - Dyverse

Don’t Miss These 5 Jaw-Dropping Truths About Birchas Hamazon! - Dyverse

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 How many of the first 100 positive integers are congruent to 3 (mod 7)?

📌 To solve this, we first find the general form of numbers that are congruent to 3 modulo 7. These numbers can be written as:

📌 \[ n = 7k + 3 \]

📌 where \( k \) is a non-negative integer. We need to determine how many such numbers \( n \) are within the range from 1 to 100.

📌 Start with the inequality:

📌 \leq 7k + 3 \leq 100

📌 Subtract 3 from all parts:

📌 \leq 7k \leq 97

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