Maths Olympiad Exam

find whether the given no. is prime or not

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Maths Olympiad Other Question

In a certain number system 363 + 1056 = 1452. Find the value of (654 - 456) in the same number system?
(a) 156 (b) 165 (c) 178 (d) 198 Solve for integers x, y, z:
x + y = 1 - z, x^3 + y^3 = 1 - z^2.