Math Problem Statement

How many numbers are there in between 200 and 500 which are multiple of 3 but not of 12?

Solution

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences
Multiples
Prime Factorization

Formulas

Number of terms in an arithmetic sequence: n = (last term - first term) / common difference + 1
Multiples: A number is a multiple of x if it can be expressed as k * x where k is an integer

Theorems

Basic divisibility rules
Properties of arithmetic sequences

Suitable Grade Level

Grades 8-10