Hello Aryan Patel,

YOU MUST FOCUS ON THE FOLLOWING TOPICS TO PREPARE FOR VARIOUS MATHEMATICS OLYMPIADS-

1) Number Theory: Gcd, Lcm, Euclid division algorithm, Modulo arithmetic, divisibility, fermat's theorm, diophantine equations, etc.

2)Algebra: Polynomials, Quadratic equations, root coefficient relationship, maxima and minima, graphical method of solving equations, etc.

3) Combinatorics: Permutation and combination (with repetition problem section) , ball and bar question, sets, graph theory, etc.

4) Inequality: RM-AM-GM-HM inequality, Cauchy- Schwartz inequality, holder's Inequality, etc.

5) Geometry: Solutions of triangle, Ptolemy theorm, ceva's theorem, Menelaus theorm, and other theorm.[Give more time to geometry than other topics].

HOPE THIS WILL HELP YOU.

For any other queries, comment below. Have a great day!!