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Learn More- This post contains RMO 2015 Problems and solutions from Chennai Region.
- Find the minimum value of and and

**SOLUTION:****here** - Given that P and Q are points on the sides AB and AC respectively of . The perpendiculars to the sides AB and AC at P and Q respectively meet at D, an interior point of . If M is the midpoint of BC, prove that PM = QM if and only if .
- Let . Written in the usual decimal form, find the last two digits of the number N.

**SOLUTION:here** - Two circles and having centers at and intersect at A and B. Let P be a point on the segment AB and let . The line through P perpendicular to meets at C and D. The line through P perpendicular to meets at E and F. prove that C,D, E and F form a rectangle.

**SOLUTION: here** - Solve the equation for positive integers x, y.

**SOLUTION: here** - From the list of natural numbers 1, 2, 3, ... suppose we remove all multiples of 7, all multiples of 11 and all multiples of 13.
- At which position in the resulting list does the number 1002 appear?
- What number occurs in the position 3600?

**SOLUTION: here**

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