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Suppose a 6 digit number $N$ is formed by rearranging the digits of the number 123456. If $N$ is divisible by 5, then the set of all possible remainders when $N$ is divided by 45 is

  1. $\{30\}$
  2. $\{15, 30\}$
  3. $\{0, 15, 30\}$
  4. $\{0, 5, 15, 30\}$
in Numerical Ability by Veteran (105k points)
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