A Peculiar Number!
Number Theory
Level
2
The digits 1, 2, 3, 4, and 5 are each used once to compose a five-digit number \(\overline{ABCDE}\), such that the three-digit number \(\overline{ABC}\) is divisible by 4, \(\overline{BCD}\) is divisible by 5 and \(\overline{CDE}\) is divisible by 3.
Submit the value of the five-digit number \(\overline{ABCDE}\) as your answer.
by
Satyajit Mohanty