turkey-yks 2019 Q3

turkey-yks · Other · yks-ayt Number Theory Congruence Reasoning and Parity Arguments
Let A, B, and C be different digits other than zero,
ABC CAB BCA The three-digit natural numbers are divisible by 4, 5, and 9 respectively. Accordingly, what is the product A · B · C?
A) 150
B) 180
C) 200
D) 210
E) 240
Let A, B, and C be different digits other than zero,

ABC\\
CAB\\
BCA\\
The three-digit natural numbers are divisible by 4, 5, and 9 respectively.\\
Accordingly, what is the product A · B · C?\\
A) 150\\
B) 180\\
C) 200\\
D) 210\\
E) 240