turkey-yks 2020 Q10

turkey-yks · Other · yks-tyt Number Theory Combinatorial Number Theory and Counting
A three-digit natural number whose digits are different from each other and from zero is called a middle-divisible number if the digit in the tens place divides the digits in the other places. For example, 428 is a middle-divisible number. Accordingly, what is the difference between the largest middle-divisible number and the smallest middle-divisible number?
A) 723
B) 727
C) 736
D) 742
E) 745
A three-digit natural number whose digits are different from each other and from zero is called a middle-divisible number if the digit in the tens place divides the digits in the other places.\\
For example, 428 is a middle-divisible number.\\
Accordingly, what is the difference between the largest middle-divisible number and the smallest middle-divisible number?\\
A) 723\\
B) 727\\
C) 736\\
D) 742\\
E) 745