# Pre-REGIONAL MATHEMATICAL OLYMPIAD, 2013

**Tutor description**

• There are 20 questions in this question paper. Each question carries 5 marks. • Answer all questions • Time allotted: 2 hours QUESTIONS 1. What is the smallest positive integer k such that k(33 + 43 + 53 ) = an for some positive integers a and n, with n > 1?

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