Math Problem Statement
Find the number of positive integers between 1 to 500 that are divisible by
(ii) 2,3,5 but not by 7
Solution
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Math Problem Analysis
Mathematical Concepts
Divisibility
Least Common Multiple (LCM)
Inclusion-Exclusion Principle
Formulas
LCM(2, 3, 5) = 30
LCM(30, 7) = 210
Count of numbers divisible by x between 1 and n: floor(n / x)
Theorems
Inclusion-Exclusion Principle
Suitable Grade Level
Grades 8-10
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