I have this logic problem where I need to find a number that fits in 2 different series (vertical and horizontal). Each series has a rule, and once you find them, you can determine the answer.
$$ \begin{matrix} & & 546 & & \\ & & 228 & & \\ 758 & 246 & ? & 625 & 319 \\ & & 476 & & \\ & & 109 & & \\ \end{matrix} $$
Answers: A) 337 B) 143 C) 532 D) 125 E) 931
The horizontal series' rule seems to be that the middle digit follows a linear sequence, which means that the number we're looking for has a middle digit of 3. This means A), C), or E).
I have have tried many different things to find the vertical rule (factoring, multiplying digits, adding digits, searching for sequences), but I cannot, for the life of me, discover what it is.
Any help?
Edit (spoiler):
If it can help anyone reverse engineer the rule, the answer is 931, but it hasn't helped me finding it...