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 .
For the given input, which of the following will be third step ?
Input : 236,522,824,765,622,463,358

Options

A. `522,236,765,824,622,463,358`
B. `522,622,236,824,765,463,358`
C. `522,622,236,765,824,463,358`
D. ` 522,622,236,463,824,765,358`

Answer

C

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.
`{:(236 rarr 2+ 3+6 rarr 11 rarr(iii)),(522 rarr 5+2+2 rarr 9 rarr (i)),(824 rarr 8 + 2 + 4 rarr 14 rarr(v)),(765 rarr 7 + 6 + 5 rarr 18 rarr(vii)),(622 rarr 6 + 2 + 2 rarr 10 rarr(ii)),(463 rarr 4 + 6 +3 rarr 13 rarr(iv)),(358 rarr 3 + 5 + 8 rarr 16 rarr(vi)):}`
Input : 236,522,824,765,622,463,358
Step I : 522,236,824,765,622,463,358
Step II : 522,622,824,765,236,463,358
Step III : 522,622,236,765,824,463,358