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Home » Number of points = 17 + 1 = 18 - Coaching Toolbox

Number of points = 17 + 1 = 18 - Coaching Toolbox

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 + 3 + 5 + 9 + 15 + 45 = 78

📌 Thus, the sum of all positive odd divisors of 180 is $ \boxed{78} $.

📌 Question: What is the remainder when $ 11071 + 11073 + 11075 + 11077 $ is divided by $ 8 $?

📌 Solution: We compute the sum modulo 8. First, reduce each term modulo 8:

📌 \equiv 7 \pmod{8}, \quad 11073 \equiv 1 \pmod{8}, \quad 11075 \equiv 3 \pmod{8}, \quad 11077 \equiv 5 \pmod{8}

📌 Now sum them modulo 8:

📌 + 1 + 3 + 5 = 16 \equiv 0 \pmod{8}

📌 Question: What two-digit positive integer is one more than a multiple of $ 7 $ and leaves a remainder of $ 3 $ when divided by $ 5 $?

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