Hanoi Open Mathematical Olympiad 2010 - Senior Section doc

... Hanoi Mathematical Society Hanoi Open Mathematical Olympiad 2010 Senior Section Sunday, 28 March 2010 08h4 5-1 1h45 Important: Answer all 10 questions. Enter ... of integers n ∈ [2000, 2010] such that 2 2n + 2 n + 5 is divisible by 7, is (A): 0; (B): 1; (C): 2; (D): 3; (E) None of the above. Q2. The last 5 digits of the number 5 2010 are (A): 65625; (B):

... Hanoi Mathematical Society Hanoi Open Mathematical Olympiad 2010 Junior Section Sunday, 28 March 2010 08h4 5-1 1h45 Important: Answer all 10 questions. Enter ... Compare the numbers: P = 888 . . . 888    2010 digits ×333 . . . 333    2010 digits and Q = 444 . . . 444    2010 digits ×666 . . . 667    2010 digits (A): P = Q; (B): P > Q; (C): ... {2...

... 2009. HANOI MATHEMATICAL SOCIETY ====================== NGUYEN VAN MAU HANOI OPEN MATHEMATICAL OLYMPIAD PROBLEMS AND SOLUTIONS Hanoi, 2009 Contents Questions of Hanoi Open Mathematical Olympiad ... . . . . 12 1.4.2 Senior Section, Sunday, 29 March 2009 . . . . . . 14 2 Questions of Hanoi Open Mathematical Olympiad 1.1 Hanoi Open Mathematical Olympiad 20...

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