Question 10
(a) (Exact division and division with remainder.) Find a six-digit natural number $N$ made only from the digits 8 and 9 such that $N$ is divisible by $2^6$.
(b) (Ratios, fractions and continued fractions.) Use each of the digits $1,2,3,\ldots,9$ exactly once to form three three-digit numbers $a,b,c$ such that $a:b:c=1:3:5$. Find $a,b,c$.
(b) (Ratios, fractions and continued fractions.) Use each of the digits $1,2,3,\ldots,9$ exactly once to form three three-digit numbers $a,b,c$ such that $a:b:c=1:3:5$. Find $a,b,c$.