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Given that $a$ and $b$ are integers and $a+a^2 b^3$ is odd, which of the following statements is correct?

  1. $a$ and $b$ are both odd
  2. $a$ and $b$ are both even
  3. $a$ is even and $b$ is odd
  4. $a$ is odd and $b$ is even
in General Aptitude by (21.2k points) 4 29 71
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