Question Details

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?

Options

A

128 16 122 09 117

B

7135 6632 310 160 127

C

128 106 122 90 117

D

351532 312 164 127

E

None of these

Show Answer

Correct Answer :

Option C

128 106 122 90 117

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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