A number arrangement machine, when
given a particular input , rearranges it following a particular
rule. The following is the illustration of the input and the stages of arrangement.
`{:("Input : 245,316,436,519,868,710,689"),("Step I :710,316,436,519,868,245,689"),("Step II :710,316,245,519,868,436,689"),("Step III: 710,316,245,436,868,519,689"),("Step IV: 710,316,245,436,519,868,689"):}`
Step IV is the last step of input .
Which of the following is the last step for the following input ?
Input: 473,442,735,542,367,234,549

Options

A. `234,442,542,473,735,367,549`
B. `234,442,542,735,473,367,549`
C. `234,442,542,473,367,735,549`
D. `234,442,542,735,367,473,549`

Answer

A

Explanation

The pattern/rule is as follows :
The sum of the digits of given numbers is calculated.
Step I : The number with lowest sum of its digits
interchanges with the first number.
Note : In case the first number has already the lowest sum
of its digits, then the number with second lowest sum of its
digits interchanges with the second number and so on.
So, the process continues until the numbers on the basis
of their sum of digits get arranged in ascending order.
`{:(473 rarr 4+ 7+3 rarr 14 rarr(iv)),(442 rarr 4+4+2 rarr 10 rarr (ii)),(735 rarr 7 + 3 + 5 rarr 15 rarr(v)),(542 rarr 5 + 4 + 2 rarr 11 rarr(iii)),(367 rarr 3 + 6 + 7 rarr 16 rarr(vi)),(234 rarr 2 + 3 +4 rarr 9 rarr(i)),(549 rarr 5 + 4 + 9 rarr 18 rarr(vii)):}`
Input : 473,442,735,542,367,234,549
Step I : 234,442,735,542,367,473,594
Step II : 234,442,542,735,367,473,549
Step III : 234,442,542,473,367,735,549
Step IV : `(234)/((i)),(442)/((ii)),(542)/((iii)),(473)/((iv)),(735)/((v)),(367)/((vi)),(549)/((vii))`
All the numbers are arranged in ascending order .
Therefore, Step IV is the the last step.