If the five-digit number abcde is divisible by 6 , then which of the following numbers is not necessarily divisible by 6?
Explanation:
For a number to be divisible by 6, the sum of its digits should be divisible by 3 and it's units digit should be even.
Since, abcde is divisible by 6, a + b + c + d + e = multiple of 3, and e is an even number
Option (a): edcba Here the units digit is a which is not necessarily even, hence edcba is not definitely divisible by 6.
Option (b): eee Here units digit e is even and sum of the digits = 3e which is a multiple of 3, hence eee is definitely divisible by 6.
Option (c): bbadcacede Here units digit e is even and sum of the digits = 2(a + b + c + d + e) which is a multiple of 3, hence eee is definitely divisible by 6.
Option (d): cdbae Here units digit e is even and sum of the digits = (a + b + c + d + e) which is a multiple of 3, hence eee is definitely divisible by 6.
Hence, option (a).
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