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The correct answer is Option 4, the 93rd Amendment. This amendment added Article 15(5) to the Constitution of India, which provides for reservation in educational institutions in the private sector.
Option 1, the 81st Amendment, is not correct as it does not pertain to Article 15(5) or reservation in educational institutions in the private sector.
Option 2, the 86th Amendment, is also not correct as it does not relate to the addition of Article 15(5) or reservation in educational institutions in the private sector.
Option 3, the 91st Amendment, is not correct either. It does not involve the addition of Article 15(5) or reservation in educational institutions in the private sector.
Therefore, the correct answer is Option 4, the 93rd Amendment, as it specifically added Article 15(5) and provided for reservation in private educational institutions.