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Directions: Study the following information to answer the given questions:
A word and number arrangement machine when given an input line of numbers rearranges itself following a particular rule. The following is an illustration of input and re-arrangement.
Input: 575345 182561 251567 889481 913456 342366
Step I: 545375 161582 267551 881489 956413 366342
Step II: 161582 267551 366342 545375 881849 956413
Step III: 115268 155726 332466 355574 194888 135946
Step IV: 91526 75572 93246 75557 99488 73594
Step V: 73594 75557 75572 91526 93246 99488
Step V is the last step of the rearrangement for the above input. As per the rules followed in the above steps, find out in each of the following questions the appropriate steps for the given input.
Input: 214261 130145 333421 715620 312451 123456
What will be the sum of the digits of the extreme left number in Step 1?
16
14
15
17
18
Correct option:1
Explanation:
The logic followed here is: Step I: The second and third digits of each number are interchanged with the fifth and sixth digits respectively. Step II: The numbers are arranged in ascending order. Step III: In each number, the odd digits are arranged in ascending order followed by the arrangement of even digits in ascending order. Step IV: The first and last digits are added and their sum is placed as the first digit This operation is performed with every 6-digit input number. Step V: The 5-digit numbers obtained in step IV are arranged in ascending order. Input 214261 130145 333421 715620 312451 123456 Step I: 261214 145130 321433 720615 351412 156423 Step II: 145130 156423 261214 321433 351412 720615 Step III: 113504 135246 112246 133324 113524 157026 Step IV: 51350 73524 71224 53332 51352 75702 Step V: 51350 51352 53332 71224 73524 75702 Step V is the final arrangement.
The extreme left number in Step 1=261214 The sum of the digits =16
Hence 16 is the correct answer.
By: Parvesh Mehta ProfileResourcesReport error
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