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 1h45Important:Answer all 10 questions.Enter ... of integers n ∈ [2000, 2010] such that 22n+ 2n+ 5is 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 1h45Important:Answer all 10 questions.Enter ... Compare the numbers:P = 888 . . . 888   2010 digits×333 . . . 333   2010 digitsand Q = 444 . . . 444   2010 digits×666 . . . 667   2010 digits(A): P = Q; (B): P > Q; (C): ... {2000, 2001, . . . , 2010} such that A = 22n+ 2n+ 5 is divisible by 7, is(A): 0; (B): 1; (C): 2; (D): 3; (E) None of the above.Q3. The last 5 digits of the number M = 5 2010 are(A): 65625;...

... 2009. HANOI MATHEMATICAL SOCIETY======================NGUYEN VAN MAU HANOI OPEN MATHEMATICAL OLYMPIAD PROBLEMS AND SOLUTIONS Hanoi, 2009ContentsQuestions of Hanoi Open Mathematical Olympiad ... . . . . 121.4.2 Senior Section, Sunday, 29 March 2009 . . . . . . 142Questions of Hanoi Open Mathematical Olympiad 1.1 Hanoi Open Mathematical Olympiad 20061.1.1 Junior Section, Sunday, 9 ... 31.1 Hanoi Open Mathematical Olympiad 2006 . . . . . . . . 31.1.1 Junior Section, Sunday, 9 April 2006 . . . . . . . 31.1.2 Senior Section, Sunday, 9 April 2006 . . . . . . . 41.2 Hanoi Open Mathematical...

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