Explanation:

• The norms relating to the eligibility has been envisaged in the Article 124 of the Indian Constitution.

Statement 1 is correct: To become a judge of the Supreme court, an individual should be an Indian citizen.

• In terms of age, a person should not exceed 65 years of age.

Statement 2 is correct: The person should serve as a judge of one high court or more (continuously), for at least five years or the person should be an advocate in the High court for at least 10 years or a distinguished jurist.
Who appoints judges to the SC?

• In exercise of the powers conferred by clause (2) of Article 124 of the Constitution of India, the appointments are made by the President of India.
• The names are recommended by the Collegium.

Collegium System

• It is the system of appointment and transfer of judges that has evolved through judgments of the SC, and not by an Act of Parliament or by a provision of the Constitution.
• The SC collegium is headed by the CJI and comprises four other senior most judges of the court.
• A HC collegium is led by its Chief Justice and four other senior most judges of that court.

Hence both statements are correct.