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13_,349 is divisible by 3.

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If we say [tex]13 ?349[/tex] is divisible by [tex]3[/tex].

It means that the sum of the digits of [tex]13 ?349[/tex] is divisible by [tex]3[/tex].

To check this,

[tex]1 + 3 + ? + 3 + 4 + 9[/tex]

[tex]20 + ?[/tex]

We know that [tex]20[/tex] is not divisible by [tex]3[/tex] and hence the digit cannot be [tex]0[/tex].

Now the digits that are possible in this situation are [tex]1,4[/tex] and [tex]7[/tex].

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