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A number arrangement machine, when given a particular input, rearranges it following a particular rule. Illustrations of the input and the steps of arrangement is given below.
Input: 245, 316, 436, 519, 868, 710, 689
Step 1: 710, 316, 436, 519, 868, 245, 689
Step 2: 710, 316, 245, 519, 868, 436, 689
Step 3: 710, 316, 245, 436, 868, 519, 689
Step 4: 710, 316, 245, 436, 519, 868, 689
Step 4 is the last step for the given input
What will be the third step for the following input?
Input: 653, 963, 754, 345, 364, 861, 541
The machine arranges the numbers in the increasing order of the sum of the digits on the number.
Input: 245 (11), 316 (10), 436 (13), 519 (15), 868 (22), 710 (8), 689 (23).
The number in the bracket indicates the sum of digits of the given number.
Step 1: 710 (8), 316 (10), 436 (13), 519 (15), 868 (22), 245 (11), 689 (23).
∴ The machine has swapped 710 (8) with 245 (11).
Step 2: 710 (8), 316 (10), 245 (11), 519 (15), 868 (22), 436 (13), 689 (23).
Thus it has swapped 436 (13) with 245 (11).
Step 3: 710 (8), 316 (10), 245 (11), 436 (13), 868 (22), 519 (15), 689 (23).
Thus it has swapped 436 (13) with 519 (15).
Step 4: 710 (8), 316 (10), 245 (11), 436 (13), 519 (15), 868 (22), 689 (23).
Thus it has swapped 519 (15) with 868 (22).
Given Input: 653(17), 963(18), 754(16), 345,(12) 364(13), 861(15), 541(10).
Step 1: 541, 963, 754, 345, 364, 861, 653
Step 2: 541, 345, 754, 963, 364, 861, 653
Step 3: 541, 345, 364, 963, 754, 861, 653
Thus, the correct option is C.
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