Write 7 4-digit numbers, which are divisible by 3, using the digits 4,5,9 0 only once - Maths - Playing with Numbers

Question

Write 7 4-digit numbers, which are divisible by 3, using the
digits 4,5,9 & 0 only once

Shridhar Kaushik · Accepted Answer

The given digits are 4, 5, 9, 0
We know that a number is divisible by 3 if the sum of the digits
of the number is divisible by 3
We see that 4 + 5 + 9 + 0 = 18 which is divisible by 5
Hence, the numbers can be formed by using the digits 4, 5, 9, 0
as :
(1) 4590
(2) 4509
(3) 4950
(4) 4905
(5) 4059
(6) 4095
(7) 9540
(8) 9045 etc

Write 7 4-digit numbers, which are divisible by 3, using the digits 4,5,9 & 0 only once.