Maths Olympiad Exam

Find three distinct positive integers with the least possible sum such that the sum of the reciprocals of any two integers among them is an integral multiple of the reciprocal of the third integer.

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Maths Olympiad Other Question

Find the number of 4-digit numbers(in base 10) having non-zero digits and which are divisible by 4 but not by 8. Let ABC be a triangle in which A = 60. Let BE and CF be the bisectors of the angles B and C with E on AC and F on AB. Let M be the reflection of A in the line EF. Prove that M lies on BC.