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Excellent commands of Mathematics and/or Physics are keys to success: see a list of recommended knowledge in Mathematics and in Physics.
Entrance exams consist of a written test and 3 oral examinations in mathematics, physics and general scientific knowledge.
The written exam is made up of multiple-choice questions (MCQs). This sort of test requires a special method of preparation. See how it looks (in French).
Oral examinations consist of solving 1 or 2 questions in Mathematics and Physics, and to comment on a scientific article published in a major international journal: here some examples of sample problems.