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Home » 20k \equiv 40 \pmod100 \implies k \equiv 2 \pmod5 - Get link 4share

20k \equiv 40 \pmod100 \implies k \equiv 2 \pmod5 - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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Use modular arithmetic: $ 2^3 = 8 \equiv 1 \mod 7 $, so $ 2^3 \equiv 1...
Thus, the remainder is $ \boxed{2} $.Question: What is the smallest fo...
To find the smallest four-digit number satisfying the given conditions...
\text{lcm}(12, 18) = \frac{12 \cdot 18}{\gcd(12, 18)} = \frac{216}{6}...
So, the number must be divisible by 36 and leave a remainder of 3 when...
n \equiv 0 \pmod{36}, \quad n \equiv 3 \pmod{7}
We solve this system using the Chinese Remainder Theorem. Since 36 and...
Let’s find $n$ such that:
Let $n = 36k$. Then:
36k \equiv 3 \pmod{7} \Rightarrow k \equiv 3 \cdot 36^{-1} \pmod{7}

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