A contest is held at the international level in December 2013, and the finale was between an American and a British student. They were asked to state their name and date on the test papers, and there were no other distinguishing features. When the papers were marked, the grader realized that both competitors had the same name and couldn't tell which paper was submitted by which student.
What is the date of competition ?
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The date is 12 December 2013. For any other date, the checkers would have been able to identify the papers. Why? Because the British people write dates in Day/Month/Year Format and the American people write date in Month/Day/Year format. On 12 December, the date and month will be the same and thus there is no way to distinguish when the names are same as well.