Study the following information to
answer the questions given below it.
A number sorting machine, when given an input of
numbers, rearranges the numbers in a particular manner step
by step indicated below-- till all the numbers are arranged in a particular order.
`{:("input : 29 2 15 5 20 11 50 105 28 19 30 140"),("Step I : 2 29 15 5 20 11 50 105 28 19 30 140"),("Step II : 2 140 15 5 20 11 50 105 28 19 30 29"),("Step III : 2 140 5 15 20 11 50 105 28 19 30 29"),("Step IV : 2 140 5 105 20 11 50 15 28 19 30 29 "),("Step V : 2 140 5 105 11 20 50 15 28 19 30 29"),("Step VI : 2 140 5 105 11 50 20 15 28 19 30 29"),("Step VII: 2 140 5 105 11 50 15 20 28 19 30 29"),("Step VIII : 2 140 5 11 50 15 30 28 19 20 29"),("Step IX: 2 140 5 105 11 50 15 30 19 28 20 29"),(" Step X: 2 140 5 105 11 50 15 30 19 29 20 28"):}`
Which of the following is the input of the following final output ?
Final output : 16 159 19 160 40 161 80 162

Options

A. 19 16 159 40 162 80 160 161
B. 162 16 40 19 161 159 80 160
C. 80 159 19 16 40 160 161
D. Cannot be determined

Answer

D

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 (first position). The remaining numbers shifts right wards.
Second step : Largest number shifts to the second
position. The remaining numbers shifts rightwards.
And so on.
So, the numbers are arranged as : Smallest, Largest,
Second smallest, Second largest,..... and so on.
Or in an ascending order and in descending order altermately.
Note : At each step, position of only one number is altered.
It is not possible to determine the definite input
because we can.t proceed/move backward or in
reverse direction.