IPMAT 2022 - Quantitative Aptitude Question 21

Given
abcde = 6x
Then e = 2n
i.e. e is divisible by 2 
& a + b + c + d + e = 3m i.e. sum is divisible by 3
Then checking all options whether they are divisible by 6
(i)     eee
Sum = 3e so number is divisible by 3
& e = 2n and e is unit digit 
So eee is divisible by 6
(ii) e + d + c + b + a 3 m then no. is divisible by 3 but we cannot comment whether a is even or odd
So edcba is not necessarily divisible by 6. 
Similarly checking other 2 options so they are divisible
Hence, answer is – edcba