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June 17, 2021

RMO 1994 Problems And Solutions

This post discusses the solutions of Problems from RMO 1994 Question Paper. You may find to solution to some of these.

RMO 1994 Problem 1:

A leaf is torn from a paperback novel. The sum of the numbers on the remaining pages is 15000. What are the page numbers on the torn leaf.

RMO 1994 Problem2:

In the △ABC, the incircle touches the sides BC,CA and AB respectively at D,E and F. If the radius of the incircle is 4 units and if BD,CE and AF are consecutive integers, find the sides of the △ABC.

RMO 1994 Problem 6:

Let AC and BD be two chords of a circle with center O such that they intersect at right angles inside the circle at the point M. Suppose K and L are the mid-points of the chord AB and CD respectively. Prove that OKML is a parallelogram.

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