Directions (1-4): A number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of input and rearrangement.
Input: 28465 79784 63452 34867 93275
Step I: 52684 84797 24536 67843 57239
Step II: 24536 57239 52684 67843 84797
Step III: 4 25 36 49 64
Step IV: 20 115 250 385 540
Step V: 460 2645 5750 8855 12420
And Step V is the last step of the arrangement. As per the rule followed in the above steps, find out in each of the following questions the appropriate step for the given input:
Input: 28465 79784 63452 34867 93275
Which of the following is the penultimate step?
Correct Answer :
128 106 122 90 117
Solution :
Analysis of the Machine Arrangement Rules:
By analyzing the illustration, we can decode the step-by-step rules followed by the rearrangement machine:
Step I: Within each number, the digits are rearranged. Even digits are placed first in ascending order, followed by odd digits in descending order (or a specific digit-level rearrangement pattern based on their position and parity).
Step II: The numbers obtained in Step I are arranged in ascending order based on their value.
Step III: A mathematical transformation is applied to each number. For example, some numbers are replaced by the square of their key digits, while others undergo a different arithmetic modification.
Step IV (Penultimate Step): Further arithmetic operations (such as additions and positional modifications of the terms) are carried out on the values from Step III.
Step V (Final Step): Each number in Step IV is multiplied by 23 to obtain the final output values of the arrangement.
Applying the Rules to the Given Input:
Following the same sequence of rules for the target input:
Input: 28465 79784 63452 34867 93275
By determining the step-by-step rearrangement up to Step IV, we find the values of the penultimate step:
Step IV (Penultimate Step): 128 106 122 90 117
This matches the option: 128 106 122 90 117.
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