A number arrangement machine when given an input line of numbers rearranges them following a particular rule in each step. The following is an illustration of input and rearrangement:

Input: 84629     57426     76932     27483     49853     62434
Step I: 273     84629     57426     76932     49853     62434
Step II: 53     273     84629     57426     76932     62434
Step III: 572     53     273     84629     76932     62434
Step IV: 23     572     53     273     84629     76932
Step V: 732     23     572     53     273     84629
Step VI: 2     732     23     572     53     273

Step VI is the last step of the given arrangement. Based on the given logic, rearrange the given input.
Input: 63825     49857     38679     72548     45328     95763

Which of the following number is second to the left of fifth number from left end in step IV?

The correct answer is 532.

Logic and Pattern Analysis:

By analyzing the given illustration step-by-step, we can identify two simultaneous operations taking place at each step:

1. Selection Rule: In each step, the smallest original number remaining in the row is selected.

2. Transformation Rule: The selected number is transformed by extracting only its prime digits (2, 3, 5, 7) while maintaining their original relative order from left to right. Non-prime digits (0, 1, 4, 6, 8, 9) are removed.

3. Placement Rule: The transformed number is placed at the extreme left end of the arrangement, shifting all existing elements to the right.

Applying the Logic to the Given Input:

Given Input numbers: 63825, 49857, 38679, 72548, 45328, 95763

Let's arrange the input numbers in ascending order to determine the selection sequence at each step:

1^st smallest: 38679 ⇒ Prime digits: 3, 7 ⇒ Transformed to 37
2^nd smallest: 45328 ⇒ Prime digits: 5, 3, 2 ⇒ Transformed to 532
3^rd smallest: 49857 ⇒ Prime digits: 5, 7 ⇒ Transformed to 57
4^th smallest: 63825 ⇒ Prime digits: 3, 2, 5 ⇒ Transformed to 325
5^th smallest: 72548 ⇒ Prime digits: 7, 2, 5 ⇒ Transformed to 725
6^th smallest: 95763 ⇒ Prime digits: 5, 7, 3 ⇒ Transformed to 573

Step-by-Step Rearrangement:

Input: 63825    49857    38679    72548    45328    95763
Step I: 37    63825    49857    72548    45328    95763
Step II: 532    37    63825    49857    72548    95763
Step III: 57    532    37    63825    72548    95763
Step IV: 325    57    532    37    72548    95763

Finding the Required Position in Step IV:

In Step IV, counting from the left end:
1^st from left: 325
2^nd from left: 57
3^rd from left: 532
4^th from left: 37
5^th from left: 72548
6^th from left: 95763

The fifth number from the left end is 72548.
The number second to the left of 72548 (i.e. the 3^rd number from the left end) is 532.