A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in every step. The following is an illustration of input and rearrangement.

Input: 88 25 68 56 58 83 94

Step I: 88 68 25 56 58 83 94

Step II: 88 68 94 25 56 58 83

Step III: 88 68 94 58 25 56 83

Step IV: 88 68 94 58 83 25 56

Step V: 88 68 94 58 83 56 25
 
Step V is the last step of the arrangement.
 
Following the same pattern solve the questions given below.
1
Which of the following will be step III of the input ‘87 37 54 98 46 29’?
» Explain it
B
Following the common explanation, we can say that step III of the given input will be:

Input: 87 37 54 98 46 29

Step III: 98 87 29 46 37 54
 
Hence, the correct answer is option B.
 
Common Explanation:
 
Reference:
 
Input: 88 25 68 56 58 83 94
Step I: 88 68 25 56 58 83 94
Step II: 88 68 94 25 56 58 83
Step III: 88 68 94 58 25 56 83
Step IV: 88 68 94 58 83 25 56
Step V: 88 68 94 58 83 56 25

Step V is the last step of the arrangement.
 
Inference:
 
Here, the numbers are arranged as the number whose sum of the digits is highest is arranged on the extreme left in the Step I after that the number whose sum of the digits is second highest is arranged the right of the number arranged in step I.
 
Number Digits Sum
88 16
68 14
94 13
58 13
83 11
56 11
25 7
 
As the digits sum of both ‘94’ and ‘58’ is same, then the highest number i.e. 94 will be arranged first. Similarly, the digits sum of both ‘83’ and ‘56’ is same, then the highest number i.e. 83 will be arranged first.

Number Arrangement Step
88 Step I
68 Step II
94 Step III
58 Step IV
83 Step V
56 Step VI
25 Step VII
 
As the arrangement of the numbers follows the left to right pattern therefore it might be possible that some numbers are arranged automatically.
2
How many steps will be required to complete the arrangement ‘38 71 26 93 37 44 54’?
» Explain it
C
Following the common explanation, we can say that IV steps will be required to complete the arrangement.

Input: 38 71 26 93 37 44 54

Step IV: 93 38 37 54 71 44 26

Hence, the correct answer is option C.

Common Explanation:
 
Reference:
 
Input: 88 25 68 56 58 83 94
Step I: 88 68 25 56 58 83 94
Step II: 88 68 94 25 56 58 83
Step III: 88 68 94 58 25 56 83
Step IV: 88 68 94 58 83 25 56
Step V: 88 68 94 58 83 56 25
Step V is the last step of the arrangement.

 
Inference:
 
Here, the numbers are arranged as the number whose sum of the digits is highest is arranged on the extreme left in the Step I after that the number whose sum of the digits is second highest is arranged the right of the number arranged in step I.
 
Number Digits Sum
88 16
68 14
94 13
58 13
83 11
56 11
25 7
 
As the digits sum of both ‘94’ and ‘58’ is same, then the highest number i.e. 94 will be arranged first. Similarly, the digits sum of both ‘83’ and ‘56’ is same, then the highest number i.e. 83 will be arranged first.

Number Arrangement Step
88 Step I
68 Step II
94 Step III
58 Step IV
83 Step V
56 Step VI
25 Step VII
 
As the arrangement of the numbers follows the left to right pattern therefore it might be possible that some numbers are arranged automatically.
3
Which of the following would be the input step for the arrangement whose step IV is ‘75 49 63 45 53 16 26 41’?
» Explain it
E
Following the common explanation, we can say we cannot find the input step for the arrangement whose step IV is ‘75 49 63 45 53 16 26 41’.

Hence, the correct answer is option E.

Common Explanation:
 
Reference:
 
Input: 88 25 68 56 58 83 94
Step I: 88 68 25 56 58 83 94
Step II: 88 68 94 25 56 58 83
Step III: 88 68 94 58 25 56 83
Step IV: 88 68 94 58 83 25 56
Step V: 88 68 94 58 83 56 25
Step V is the last step of the arrangement.

 
Inference:
 
Here, the numbers are arranged as the number whose sum of the digits is highest is arranged on the extreme left in the Step I after that the number whose sum of the digits is second highest is arranged the right of the number arranged in step I.
 
Number Digits Sum
88 16
68 14
94 13
58 13
83 11
56 11
25 7
 
As the digits sum of both ‘94’ and ‘58’ is same, then the highest number i.e. 94 will be arranged first. Similarly, the digits sum of both ‘83’ and ‘56’ is same, then the highest number i.e. 83 will be arranged first.

Number Arrangement Step
88 Step I
68 Step II
94 Step III
58 Step IV
83 Step V
56 Step VI
25 Step VII
 
As the arrangement of the numbers follows the left to right pattern therefore it might be possible that some numbers are arranged automatically.
4
Which of the following will be step IV of the input ‘90 29 72 84 55 76’?
» Explain it
B
Following the common explanation, we can say that step IV of the given input will be:

Input: 90 29 72 84 55 76

Step IV: 76 84 29 55 90 72

Hence, the correct answer is option B.

Common Explanation:
 
Reference:
 
Input: 88 25 68 56 58 83 94
Step I: 88 68 25 56 58 83 94
Step II: 88 68 94 25 56 58 83
Step III: 88 68 94 58 25 56 83
Step IV: 88 68 94 58 83 25 56
Step V: 88 68 94 58 83 56 25
Step V is the last step of the arrangement.

 
Inference:
 
Here, the numbers are arranged as the number whose sum of the digits is highest is arranged on the extreme left in the Step I after that the number whose sum of the digits is second highest is arranged the right of the number arranged in step I.
 
Number Digits Sum
88 16
68 14
94 13
58 13
83 11
56 11
25 7
 
As the digits sum of both ‘94’ and ‘58’ is same, then the highest number i.e. 94 will be arranged first. Similarly, the digits sum of both ‘83’ and ‘56’ is same, then the highest number i.e. 83 will be arranged first.

Number Arrangement Step
88 Step I
68 Step II
94 Step III
58 Step IV
83 Step V
56 Step VI
25 Step VII
 
As the arrangement of the numbers follows the left to right pattern therefore it might be possible that some numbers are arranged automatically.
5
Which of the following will be ‘95 77 49 56 82 37’ of the input ‘82 49 56 77 95 37’?
» Explain it
B
Following the common explanation, we can say that ‘76 84 29 55 90 72’ is step IV of the given input.

Input: 82 49 56 77 95 37

Step IV: 95 77 49 56 82 37

Hence, the correct answer is option B.

Common Explanation:
 
Reference:
 
Input: 88 25 68 56 58 83 94
Step I: 88 68 25 56 58 83 94
Step II: 88 68 94 25 56 58 83
Step III: 88 68 94 58 25 56 83
Step IV: 88 68 94 58 83 25 56
Step V: 88 68 94 58 83 56 25
Step V is the last step of the arrangement.

 
Inference:
 
Here, the numbers are arranged as the number whose sum of the digits is highest is arranged on the extreme left in the Step I after that the number whose sum of the digits is second highest is arranged the right of the number arranged in step I.
 
Number Digits Sum
88 16
68 14
94 13
58 13
83 11
56 11
25 7
 
As the digits sum of both ‘94’ and ‘58’ is same, then the highest number i.e. 94 will be arranged first. Similarly, the digits sum of both ‘83’ and ‘56’ is same, then the highest number i.e. 83 will be arranged first.

Number Arrangement Step
88 Step I
68 Step II
94 Step III
58 Step IV
83 Step V
56 Step VI
25 Step VII
 
As the arrangement of the numbers follows the left to right pattern therefore it might be possible that some numbers are arranged automatically.