The correct answer is B. inveterate.

An inveterate person is someone who is habitually bad or addicted to something. In this case, the boy is habitually bad and a constant source of trouble to his mother.

The other options are incorrect because:

  • A truant is a person who stays away from school without permission.
  • A rash person is someone who acts without thinking.
  • A dishonest person is someone who is not truthful.

I hope this helps!