Question
Download Solution PDFComprehension
Direction: Read the following information carefully and answer the questions based on given information.
Input: 376824 943875 584762 758493 843642 395648
Step I: 386925 842865 594863 657483 742632 405749
Step II: 387006 842929 594944 657547 742681 405830
Step III: 184880 721842 203694 423554 71248 4003
Step IV: 248 400 424 2064 2842 84880
Step V: 128 160 124 464 6042 48880
Step VI: 33 21 21 42 28 140
Step VI is the last step of the arrangement, based on the above logic rearrange the given input.
Input: 478269 835264 712386 384561 532649 784678
Which of the following is the correct arrangement of last step ?
Answer (Detailed Solution Below)
Detailed Solution
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The logic followed here is:
In Step I, if the six digit numbers having first and last both are odd or even number then subtract 1 at even place digits if first number and last numbers are odd and even or vice – versa then add 1 at odd place digits and rest numbers remain same. For example, 376824 having first number odd and last number even then we subtract 1 from odd place digits i.e. 7+1 =8, 8+1=9, 4+1=5 which gives 386925.
Step I: 386925 842865 594863 657483 742632 405749
In Step II, Add square of highest digit in respective numbers. For example, 386925 highest digit is 9 whose square is 81. Therefore, 386925 + 81 = 387006.
Step II: 387006 842929 594944 657547 742681 405830
In Step III, multiply first and last digits, middle digits with each other and write these digits at starting of that number and rest remain same. For example, 386806 first digit 3 * 6 last digit = 18 and middle digits 6*8 = 48 which gives 184880.
Step III: 180006 721842 203694 423554 71248 4003
In Step IV, Remove all odd digits from a given number and then write in ascending order.
Step IV: 68 400 424 2064 2842 84880
(Since 000 before 68 in the number 00068 have no value, so only 68 has been considered.)
In step V, take the positive difference of square of first digit and square of second digit of a number and write in first place of that number and rest remain same.
Step V: 28 160 124 464 6042 48880
In Step VI, add all the digits of a number and multiply that sum with the total number of that number.
Step VI: 20 21 21 42 28 140
Input: 478269 835264 712386 384561 532649 784678
Step I: 579279 825163 813396 374460 522548 885688
Step II: 579360 825227 813477 374509 522612 885752
Step III: 2776 561022 561217 272070 101221 163585
Step IV: 022 26 62 68 2200 6022
Step V: 42 32 32 28 000 3622
Step VI: 12 10 10 20 0 52
Hence, the correct arrangement is 12 10 10 20 0 52.
Last updated on Jul 3, 2025
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