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 following is the second step for an input, what will be
the fourth step ?
Step II : 620,415,344,537,787,634,977

Options

A. ` 620,415,344,537,634,787,977`
B. `620,415,344,634,537,787,977`
C. `620,415,344,634,787,537,977`
D. Can't be determined

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.
`{:(620 rarr 6+ 2+0 rarr 8 rarr(i)),(415 rarr 4+1+5 rarr 10 rarr (ii)),(344 rarr 3 + 4 + 4 rarr 11 rarr(iii)),(537 rarr 5 + 3 + 7 rarr 15 rarr(v)),(787 rarr 7 + 8 + 7 rarr 22 rarr(vi)),(634 rarr 6 + 3 +4 rarr 13 rarr(iv)),(977 rarr 9 + 7 + 7 rarr 23 rarr(vii)):}`
Step II : 620,415,344,537,787,634,977
Step III : 620,415,344,634,787,537,977
Step IV : 620,415,344,634,537,787,977