Maths Olympiad Exam

For how many integers n is n/(20-n) the square of an integer?

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Maths Olympiad Other Question

Q. There are two containers out of which one contains exactly 16 liters of water and the other contains exactly 9 liters of water. There is no measuring mark on the containers. Using only the two containers determine how to bring 6 liters of water from a pond Consider a 20 sided convex polygon K, with vertices A1, A2.....A20 in that order.Find the No. of ways in which three sides of K can be chosen so that every pair among them has at least two sides of K between them.(For example(A1A2,A4A5,
A11A12) is an admissible triplet while A!A@,A4A5,A19A20)is not)