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 .
If 655, 436,764,799,977,572,333,is the input which of
the following steps will be '333,436,572,655,977,764,799'?

Options

A. II
B. III
C. IV
D. V

Answer

B

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.
`{:(655 rarr 6+ 5+5rarr 16 rarr(iv)),(436 rarr 4+3+6 rarr 1 3 rarr (ii)),(764 rarr 7 + 6 + 4 rarr 17 rarr(v)),(799 rarr 7 + 9 + 9 rarr 25 rarr(vii)),(977 rarr 9 + 7 + 7 rarr 23 rarr(vi)),(572 rarr 5 + 7 + 2 rarr 14 rarr(iii)),(333 rarr 3 + 3 + 3 rarr 9 rarr(i)):}`
Input : 655,436,764,799,977,572,333
Step I : 333,436,764,799,977,572,655
Step II : 333,436,572,799,977,764,655
Step III : 333,426,572,655,977,764,799