Question 74
Find all four-digit positive integers $\overline{abcd}$, which satisfy the conditions:
1) $a \le b \le c \le d$;
2) $a^2 + b^2 + c^2 + d^2$ is divisible by 4;
3) $\overline{abcd}$ divided by $c$ gives the remainder 7.
1) $a \le b \le c \le d$;
2) $a^2 + b^2 + c^2 + d^2$ is divisible by 4;
3) $\overline{abcd}$ divided by $c$ gives the remainder 7.