Which one of the following amendment accorded precedence to Directive Principle over Fundamental Rights?

The correct answer is 42nd.

Key Points

42nd Constitutional Amendment gave precedence to Directive Principles of State Policy over Fundamental Rights.
42nd amendment states, "no law implementing any of the Directive Principles could be declared unconstitutional on the grounds that it violated any of the Fundamental Rights".
This constitutional amendment is also called a Mini-Constitution.
Additional Information

42nd Constitutional Amendment
The 42nd Amendment gave primacy to the Directive Principles, by stating that "no law implementing any of the Directive Principles could be declared unconstitutional on the grounds that it violated any of the Fundamental Rights".
This amendment added Socialist, Secular in the Preamble, Fundamental duties in Part IVA, Tribunal Part XIV A, and many more amendments to the constitution therefore this amendment also called Mini-Constitution.
62nd Constitutional Amendment
Extend reservation for SCs and STs and nomination of Anglo Indian members in Parliament and State Assemblies for another ten years i.e. up to 2000. (In January 2020, the Anglo-Indian reserved seats in the Parliament and State Legislatures of India were abolished by the 104th Constitutional Amendment Act, 2019.)
64th Constitutional Amendment
Article 356 amended to permit President's rule up to three years and six months in the state of Punjab