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Old June 5th, 2014, 06:01 PM
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Default RMO Questions with answers

Will you please share the previous year Questions with answers of RMO - Regional Mathematical Olympiads????

Here I am sharing the previous year Questions with answers of RMO - Regional Mathematical Olympiads

Let ABCD be a unit square. Draw a quadrant of a circle with A as centre and B;D
as end points of the arc. Similarly, draw a quadrant of a circle with B as centre and
A;C as end points of the arc. Inscribe a circle

Let X = f1; 2; 3; : : : ; 12g. Find the the number of pairs fA;Bg such that A X,
B X, A 6= B and A \ B = f2; 3; 5; 7; 8g.

Let a and b be positive real numbers such that a + b = 1. Prove that
aabb + abba lessert then equal to 1:

Last edited by Aakashd; February 3rd, 2020 at 12:20 PM.
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