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    Question

    Directions : Study the following information to answer the given questions: A number sorting machine, when given an input of numbers, rearranges the numbers in a particular manner step by step as indicated below till all the numbers are arranged in a particular order. Input: 17 56 32 70 81 25 77 92 52 23 60 97 Step I: 17 23 32 70 81 25 77 92 52 56 60 97 Step II: 17 23 32 70 81 25 77 60 52 56 92 97 Step III: 17 23 25 70 81 32 77 60 52 56 92 97 Step IV: 17 23 25 70 56 32 77 60 52 81 92 97 Step V: 17 23 25 32 56 70 77 60 52 81 92 97 Step VI: 17 23 25 32 56 70 52 60 77 81 92 97 Step VII: 17 23 25 32 52 70 56 60 77 81 92 97 Step VIII: 17 23 25 32 52 60 56 70 77 81 92 97 Step IX: 17 23 25 32 52 56 60 70 77 81 92 97 and step IX is the last step for the given input.

    Which of the following was certainly the input of the

    following step III? Step III: 37 46 89 61 57 72 76 98
    A 57 72 89 61 37 46 76 98 Correct Answer Incorrect Answer
    B 89 57 72 61 46 37 76 98 Correct Answer Incorrect Answer
    C 72 57 89 61 46 37 76 98 Correct Answer Incorrect Answer
    D Cannot be determined Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Here the rule followed is: Step I: The smallest number interchanges its position with the first number. [In case the first number is smallest then the next number just larger than it interchanges its position with the second number.] Step II: The largest number interchanges its position with the last number. [In case the largest number is first from right end, the second largest number interchanges its position with the second number from right and so on.] These steps are repeated alternately till the numbers get arranged in ascending order and that will be the last step for the particular input. Since it is a case of arrangement previous steps can’t be determined with certainty

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