The first statement is incorrect because, according to Article 164 of the Constitution of India, a person who is not a member of the State Legislature can be appointed as a minister but must become a member within six months. The second statement is also incorrect because, as per the Representation of the People Act, 1951, a person convicted of a criminal offense and sentenced to imprisonment for two years or more is disqualified for the duration of the sentence, but this disqualification is not permanent; it ends after the person has completed their sentence and any subsequent appeal or review period. Thus, both statements contain inaccuracies, making "Neither 1 nor 2" the correct option.