LEARN BY EXAMPLES:

Input-Output is a major topic asked in many of the Banking Exams. You can expect a set of 5 questions from this topic. This topic can be quite easy to attempt and prove to be scoring if you have a fair idea of the basics of this topic. Today we are sharing with you all the information about this topic that we hope would be helpful in the upcoming exam.

Let us first understand, what exactly is meant by Machine Input. This is basically a topic of logical reasoning where a set of words, numbers or their combination is given in a particular sequence in various steps. You need to identify the pattern in which the initial input given to you is processed in various steps and then apply the same pattern to the statement in the questions and answer accordingly.

Directions: A number arrangement machine when given an input line of numbers rearranges them following a particular rule in each step. The following is an illustration of input and rearrangement.

Input:   62 97 38 74 55 12 86 45 68 22
Step 1: 13 62 97 38 74 55 86 45 68 23
Step 2: 39 13 62 97 74 55 86 68 23 46
Step3:  56 39 13 97 74 86 68 23 46 63
Step 4: 69 56 39 13 97 86 23 46 63 75
Step 5: 87 69 56 39 13 23 45 63 75 98

Find the different steps of output using the above mentioned logic for the following input.

Input:  88 59 28 94 37 75 15 64 71 48

Complete Machine Process: 

Input:    88 59 28 94 37 75 15 64 71 48
Step 1: 16 88 59 94 37 75 64 71 48 29
Step 2: 38 16 88 59 94 75 64 71 29 49
Step 3: 60 38 16 88 94 75 71 29 49 65
Step 4: 72 60 38 16 88 94 29 49 65 76
Step 5: 89 72 60 38 16 29 49 65 76 95

Common Explanation:

Change happening from Input to Step 1:

Reference:

Input:   62 97 38 74 55 12 86 45 68 22
Step 1: 13 62 97 38 74 55 86 45 68 23

Inference:

In every step, two numbers are changing their positions. In input, the lowest number which is 15, is first added by 1 and getting placed at extreme left end. Similarly, the second lowest number among all, which is 22 is also getting increased by 1 and is getting placed at the extreme right end of the input to give us Step 1.

Given Input: 88 59 28 94 37 75 15 64 71 48
Step1:          16 88 59 94 37 75 64 71 48 29
 
Reference

Step 1: 13 62 97 38 74 55 86 45 68 23
Step 2: 39 13 62 97 74 55 86 68 23 46

Inference:

In this step too, the 3rd lowest number among all is first getting increased by 1 and is placed at the extreme left end of Step 1 and so is the case with the 4th lowest number. 

Step1: 16 88 59 94 37 75 64 71 48 29
Step2: 38 16 88 59 94 75 64 71 29 49
 
And the same process continues till we get all the numbers arranged in similar fashion.

The complete Machine process is as follows:

Input:  88 59 28 94 37 75 15 64 71 48
Step1: 16 88 59 94 37 75 64 71 48 29
Step2: 38 16 88 59 94 75 64 71 29 49
Step3: 60 38 16 88 94 75 71 29 49 65
Step4: 72 60 38 16 88 94 29 49 65 76
Step5: 89 72 60 38 16 29 49 65 76 95

Final arrangement:


Common explanation:
 
Reference:



Inference:

Digits are first multiplied and then are added before writing in the box of next step.


 
Reference:



Inference:

Numbers are multiplied keeping the middle box common.


 
Reference:



Inference:

Numbers written in the boxes are subtracted.


 
Reference:



Inference:

Number is now squared to get the final output.