Maths Olympiad
Exam
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Maths Olympiad Other Question
Find the sum of all 3-digit natural numbers which contain at least one odd digit
and at least one even digit.
Let ABC be a triangle in which AB = AC and CAB = 90◦. Suppose M and
N are points on the hypotenuse BC such that BM2 + CN2 = MN2. Prove that
MAN = 45◦