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Reasoning

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Input Output

Question
23 out of 30
 

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.


How many steps will be required to get the final output from the following input ?
Input : 544, 653, 325, 688, 461, 231, 857


A 5
B 4
C 3
D 6
E None of these

The numbers will be arranged as sum of its digit in ascending order and in each step the numbers be interchanged.

Input: 655 = 6 + 5 + 5 = 16

436 = 4 + 3 + 6 = 13

764 = 7 + 6 + 4 = 17

799 = 7 + 9 + 9 = 25

977 = 9 + 7 + 7 = 23

572 = 5 + 7 + 2 = 14

333 = 3 + 3 + 3 = 9

Input: 655, 436, 764, 799, 977, 572, 333

Step 1: 333, 436, 764, 799, 977, 572, 655

Step 2: 333, 436, 572, 799, 977, 764, 655

Step 3: 333, 436 572, 655, 977, 764, 799

Step 4: 333, 436, 572, 655, 764, 977, 799

So, It will arranged in 4 steps.


Ans. A

544, 653, 325, 688, 461, 231, 857

Now, Input be: 13, 14, 10, 22, 11, 6, 20

Step 1: 6, 14, 10, 22, 11, 13, 20

Step 2: 6, 10, 14, 22, 11, 13, 20

Step 3: 6, 10, 11, 22, 14, 13, 20

Step 4: 6, 10, 11, 13, 14, 22, 20

Step 5: 6, 10, 11, 13, 14, 20, 22

So, total steps are 5.

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