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

What is the difference between the lowest and the highest number in step II?

To find the difference between the lowest and the highest number in step II, we first determine the step-by-step logic of the arrangement machine:

Step I Rule: For each 5-digit number, we perform the following operations:
1. Multiply the first and second digits: $(d_1\times d_2)$
2. Subtract 1 from the third (middle) digit: $(d_3-1)$
3. Multiply the fourth and fifth digits: $(d_4\times d_5)$
These values are then concatenated to form a new 5-digit number.

Step II Rule: Sort the numbers obtained in Step I in descending order.

Let's apply these rules to the given input:
Input: 28465, 79784, 63452, 34867, 93275

Applying Step I:
• For 28465: $(2\times 8=16)$, $(4-1=3)$, $(6\times 5=30)$ ⇒ 16330
• For 79784: $(7\times 9=63)$, $(7-1=6)$, $(8\times 4=32)$ ⇒ 63632
• For 63452: $(6\times 3=18)$, $(4-1=3)$, $(5\times 2=10)$ ⇒ 18310
• For 34867: $(3\times 4=12)$, $(8-1=7)$, $(6\times 7=42)$ ⇒ 12742
• For 93275: $(9\times 3=27)$, $(2-1=1)$, $(7\times 5=35)$ ⇒ 27135

So, the numbers in Step I are: 16330, 63632, 18310, 12742, 27135.

Applying Step II (Descending Order):
Sorting the Step I numbers from highest to lowest:
63632, 27135, 18310, 16330, 12742

From Step II:
• Highest number = 63632
• Lowest number = 12742

Calculating the difference:
$63632-12742=50890$

Thus, the correct answer is 50890.