Question
What is the sum of all the digits of the number which is
4th smallest in step III? Study the following information carefully and answer the given questions. A word and number arrangement machine when given an input of words and numbers rearranges them following a particular rule. The following is an illustration of input and rearrangement. Input: 95738 Â Â 68537 Â 87843 Â 38594Â Â Â 58234 Â 73544 Step I: 35Â Â 95738 Â Â Â 68537 Â Â Â Â 87843Â Â 58234Â Â 73544 Step II: 523Â Â 35Â Â Â Â 95738 Â Â Â 68537 Â Â 87843 Â Â Â 73544 Step III: 537Â Â 523Â Â Â Â 35Â Â Â Â Â Â Â Â 95738 Â Â Â 87843Â Â Â 73544 Step IV: 735Â Â 537Â Â Â Â 523Â Â Â Â Â Â Â Â 35Â Â Â Â Â Â Â Â 95738 Â Â Â 87843 Step V: 73Â Â Â Â 735Â Â Â 537Â Â Â Â 523Â Â Â Â Â Â Â Â 35Â Â Â Â Â Â Â Â 95738Â Â Â Step VI: 573Â Â Â 73Â Â Â Â 735Â Â Â 537Â Â Â Â 523Â Â Â Â Â Â Â Â 35Â Â Â Â Â Step VI is the last step of the above input. As per the rules followed in the above steps find the appropriate step for the given input. Input: 74936 Â Â Â 58967 Â Â 49772 Â Â Â 83529 Â Â Â 36947 Â Â 66723Solution
All the numbers given in input are arranged in each step (in ascending order from left) after removing non-prime digits from it. One number is arranged in each step and every new number is placed at the left end after shifting previous numbers one place towards right. Input: 74936 Â Â Â 58967 Â Â 49772 Â Â Â 83529 Â Â Â 36947 Â Â 66723 Step I: 37Â Â Â Â Â Â Â Â 74936 Â Â Â 58967 Â Â 49772 Â Â Â Â 83529 Â Â 66723 Step II: 772 Â Â Â Â Â Â 37Â Â Â Â Â Â Â Â Â Â 74936 Â Â Â 58967 Â Â Â Â Â Â 83529 Â Â 66723 Step III: 57 Â Â Â Â Â Â 772 Â Â Â Â Â Â Â Â Â 37Â Â Â Â Â Â Â Â 74936 Â Â Â Â Â Â 83529 Â Â 66723 Step IV: 723Â Â Â Â Â Â 57 Â Â Â Â Â Â Â Â Â 772 Â Â Â Â Â Â Â Â Â Â 37Â Â Â Â Â Â Â Â Â Â 74936Â Â Â 83529 Â Â StepV:73Â Â Â Â Â Â Â Â Â Â 723Â Â Â Â Â Â Â Â Â Â 57 Â Â Â Â Â Â Â Â 772 Â Â Â Â Â Â Â Â Â Â Â 37Â Â Â Â Â Â Â Â Â 83529 Â Â Step VI: 352Â Â Â Â Â Â Â 73Â Â Â Â Â Â Â Â Â 723Â Â Â Â Â Â Â Â Â Â 57 Â Â Â Â Â Â Â Â Â Â 772 Â Â Â Â Â Â Â Â Â Â 37Â Â Â
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