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If the five-digit number abcde is divisible by 6, then which of the following numbers is NOT necessarily divisible by 6?

Question and options

If the five-digit number abcde is divisible by 6, then which of the following numbers is NOT necessarily divisible by 6?
  1. edcba
  2. eee
  3. bbadcacede
  4. cdbae

Answer and explanation

Correct answer: A - edcba
abcde divisible by 6 means e even and digit sum divisible by 3. eee, bbadcacede (sum 2(a+b+c+d+e)) and cdbae all end in e with digit sum a multiple of 3, so divisible by 6. edcba ends in a, which need not be even.

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