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Math Puzzle 1


For every positive integer starting from 2, Vinay divides the number by 2, and floors it (flooring a number means to take the largest integer that is less than or equal to that number). He keeps repeating the process until he gets 2 or 3, and categorizes as a 2 or a 3 based on which number he obtained. What is the 342nd number that is categorized as a 3?

A) 768          B) 884            C) 1116           D) 1653            E) 1967