Study the following information to
carefully to answer these question :
Anumber sorting machine when given an input of numbers, rearranges them in a particular manner step -by -step as indicated below till all the numbers are arranged .
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 18 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"):}`
(And step VI is the last step for this input.)
What will be step III for the following input ?
Input : 68 182 39 93 129 46 21 58

Options

A. 21 39 68 129 93 46 58 182
B. 21 39 68 93 129 46 58 182
C. 21 68 39 93 129 46 58 182
D. Cannot be determined

Answer

B

Explanation

After analysing the sample sequence,
the pattern/rule in each step for a number arrangement is as follows.
First step : Smallest number comes to the left most
Position. The remaining numbers shifts right wards
Second step : Largest number shifts to the right most
Position The remaining numbers shifts left wards.
So,the numbers are arranged in an ascending order. One
number shifted from the beginning and one number from the end alternately.
Note : At each step, Position of only one number is altered.
`{:("Input : 21 39 68 129 46 21 58"),("Step I : 21 68 182 39 93 129 46 58"),("Step II : 21 68 39 93 129 46 58 182"),("Step III : 21 39 68 93 129 46 58 182"):}`