Option 1 suggests that the Chief Justice of the concerned High Court is responsible for the appointment of District Judges. This statement is incorrect because the power of appointment does not rest solely with the Chief Justice.

Option 2 posits that the President of India, taking advice from the Chief Justice of the concerned High Court, appoints the District Judges. Although the President appoints High Court and Supreme Court judges, he doesn`t have authority over the appointment of District judges.

Option 3, which is the correct answer, states that District Judges are appointed by the Governor in consultation with the state`s High Court. This is accurate as per the Constitution of India (Article 233), which requires the Governor to make these appointments with the High Court`s advice, using merit and suitability as deciding factors.

Option 4 maintains that the Supreme Court, advised by the concerned High Court, appoints District Judges. This option is false considering that the Supreme Court does not function as an appointing authority for judges at the district level.