Reasoning Machine InputPage 3
Section3
Study the following information carefully to answer the questions given below.
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.
Given below is an illustration of this arrangement:
Input : 39 121 48 18 76 112 14 45 63 96
Step I : 14 39 121 48 18 76 112 45 63 96
Step II: 14 39 48 14 76 112 45 63 96 121
Step III: 14 18 39 48 76 112 45 63 96 121
Step IV: 14 18 39 48 76 45 63 96 112 121
Step V: 14 18 39 45 48 76 63 96 112 121
Step VI: 14 18 39 45 48 63 76 96 112 121
(This is the final arrangement and Step VI is the last step for this input)
1.  If following is the fifth step of an input, what will be the third step ?
Step V : 17 32 43 82 69 93 49 56 99 106  (a)17 32 43 82 69 93 49 56 99 106  (b)17 32 82 69 43 93 49 56 99 106  (c)17 32 82 69 93 43 49 56 99 106  (d)Canâ€™t be determined 

Answer is: DHere the rule followed is:
Step I: The smallest number becomes first and the remaining numbers shift one position
rightward. [In case the first number is small then the next number just larger than
it will become second and the rest will shift one position rightward and so on.]
Step II : The largest number among given numbers becomes last and the remaining
numbers shift one position leftward.
[In case the largest number is first from the right end, the second largest number replaces
the second number from the right end, and so on.]
These steps are repeated alternately till all the numbers get arranged in ascending order
and that will be the last step for that particular input.
2.  How many steps will be required for getting the final output for the following input ?
Input: 101 85 66 49 73 39 142 25 115 74  (a)5  (b)6  (c)7  (d)8 

Answer is: DHere the rule followed is:
Step I: The smallest number becomes first and the remaining numbers shift one position
rightward. [In case the first number is small then the next number just larger than
it will become second and the rest will shift one position rightward and so on.]
Step II : The largest number among given numbers becomes last and the remaining
numbers shift one position leftward.
[In case the largest number is first from the right end, the second largest number replaces
the second number from the right end, and so on.]
These steps are repeated alternately till all the numbers get arranged in ascending order
and that will be the last step for that particular input.
3.  Which of the following will be the third step for the following input ?
Input : 45 78 97 132 28 16 146 54 99 112  (a)16 28 45 78 97 146 54 99 112 132  (b)16 28 45 97 78 54 99 112 132 146  (c)16 28 45 78 97 132 54 99 112 146  (d)16 28 45 97 78 132 99 54 112 146 

Answer is: C16 28 45 78 97 132 54 99 112 146
Here the rule followed is:
Step I: The smallest number becomes first and the remaining numbers shift one position
rightward. [In case the first number is small then the next number just larger than
it will become second and the rest will shift one position rightward and so on.]
Step II : The largest number among given numbers becomes last and the remaining
numbers shift one position leftward.
[In case the largest number is first from the right end, the second largest number replaces
the second number from the right end, and so on.]
These steps are repeated alternately till all the numbers get arranged in ascending order
and that will be the last step for that particular input.
4.  If the second step for an input is as given below, what will be the fifth step for the same input?
Step II: 22 49 32 88 69 132 101 185  (a)22 32 49 88 69 101 132 185  (b)22 32 69 49 88 101 132 185  (c)22 32 49 69 101 88 132 185  (d)None of these 

Answer is: DNone of these
Here the rule followed is:
Step I: The smallest number becomes first and the remaining numbers shift one position
rightward. [In case the first number is small then the next number just larger than
it will become second and the rest will shift one position rightward and so on.]
Step II : The largest number among given numbers becomes last and the remaining
numbers shift one position leftward.
[In case the largest number is first from the right end, the second largest number replaces
the second number from the right end, and so on.]
These steps are repeated alternately till all the numbers get arranged in ascending order
and that will be the last step for that particular input.
5.  What will be the Step II for the following input?
Input: 47 62 17 92 86 42 24 79  (a)17 24 47 62 86 42 79 92  (b)17 47 62 86 42 24 79 92  (c)17 24 47 62 92 86 42 79  (d)17 47 62 86 24 42 79 92 

Answer is: B17 47 62 86 42 24 79 92
Here the rule followed is:
Step I: The smallest number becomes first and the remaining numbers shift one position
rightward. [In case the first number is small then the next number just larger than
it will become second and the rest will shift one position rightward and so on.]
Step II : The largest number among given numbers becomes last and the remaining
numbers shift one position leftward.
[In case the largest number is first from the right end, the second largest number replaces
the second number from the right end, and so on.]
These steps are repeated alternately till all the numbers get arranged in ascending order
and that will be the last step for that particular input.
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