Question 75
A surprising number is a number divisible by $9$, of nine different digits, none of them equal to $0$ such that:
a. The number formed by the $2$ first digits is divisible by $2$;
b. The number formed by the $3$ first digits is divisible by $3$;
c. The number formed by the $4$ first digits is divisible by $4$;
d. The number formed by the $5$ first digits is divisible by $5$;
e. The number formed by the $6$ first digits is divisible by $6$; f. The number formed by the $7$ first digits is divisible by $7$; G. The number formed by the $8$ first digits is divisible by $8$; what is this number?
a. The number formed by the $2$ first digits is divisible by $2$;
b. The number formed by the $3$ first digits is divisible by $3$;
c. The number formed by the $4$ first digits is divisible by $4$;
d. The number formed by the $5$ first digits is divisible by $5$;
e. The number formed by the $6$ first digits is divisible by $6$; f. The number formed by the $7$ first digits is divisible by $7$; G. The number formed by the $8$ first digits is divisible by $8$; what is this number?