Math Problem Statement
Positive integer n divided by 8 gives 1 remainder. The number n divides by 5 to the remainder 2. Three n divided by 40, how much does it give?
Solution
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Math Problem Analysis
Mathematical Concepts
Modular Arithmetic
Chinese Remainder Theorem
Congruences
Formulas
n ≡ 1 (mod 8)
n ≡ 2 (mod 5)
Chinese Remainder Theorem
3n (mod 40)
Theorems
Chinese Remainder Theorem
Suitable Grade Level
Grades 10-12
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