The correct answer is option 4, i.e., Neither 1 nor 2.

Here`s a detailed explanation for each option:

1. Although the Constitution of India does permit a non-member to be appointed as a Minister, it restricts the duration to six months. Within that period, the person must be elected as a member from that state to continue as a minister. So this statement is half correct and half incorrect, leading to its overall incorrectness.

2. According to the Representation of People Act, 1951, a person convicted of a criminal offence and sentenced to imprisonment for two or more years is disqualified from contesting an election. Yet, this disqualification is not permanent – it lasts for the length of the prison term and an additional six years following release. So, this statement is incorrect as it states a permanent disqualification.

Considering the above explanations, neither statement is entirely correct. Therefore, option 4, i.e., `neither 1 nor 2`, is the correct answer.