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.
Important for :
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.
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