#Number digit question

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gloomy apex
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If counting by 4 the number is "xyz xyz"
If counting by 5 the number is "xy zxy"
If counting by 6 the number is "x yzx"

How many different values can "xyz" get?

4, 5, 6, 7, More than 7

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gloomy apex
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@limber reef I've spent some time and checked numbers I can use

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I checked "y" first. If "xy zxy" can be divided to 5 then "y" must be either {0, 5}
then I gone for "z" If "xyz xyz" can be divided to 4 then if "y" = 0, z becomes {4, 8}

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oh I forgot z can be 0 if y is 0

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okay answer turn into 7 then

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uh I think I found the answer but It will take so long to describe