If $31 m 4$ is divisible by $3$ , then what is the value of $m$ ?

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Solution

Given, 31m4 is divisible by 3

$\Rightarrow 3 + 1 + m + 4$ is a multiple of 3

$\Rightarrow 8 + m$ is a multiple of 3

this can happen, when $m = 1, 4, 7$

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