# Reasoning Questions: Machine Input-Output Set 8

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Directions (1 – 5): Answer the questions on the basis of the information given below.
A number arrangement machine when given an input of numbers, rearranges them following a particular rule in each step. The following is an illustration of input and steps of rearrangement.
Input: 48 245 182 26 99 542 378 297
Step I: 542 48 245 182 26 99 378 297
Step II: 542 26 48 245 182 99 378 297
Step III: 542 26 378 48 245 182 99 297
Step IV: 542 26 378 48 297 245 182 99
Step V: 542 26 378 48 297 99 245 182
This is the final arrangement and step V is the last step for this input.

1. What will the fourth step for an input whose second step is given below?
Step : 765 42 183 289 542 65 110 350

A) 765 42 542 350 183 289 65 110
B) 765 42 542 65 110 183 289 350
C) 765 42 65 542 183 289 110 350
D) Cannot be determined
E) 765 42 542 65 183 289 110 350
E) 765 42 542 65 183 289 110 350
Explanation:

In the arrangement first a largest number is taken, then in next step the smallest number is taken
So in step 2 of the input the first number if largest of all, 2nd number is smallest of all, then in step 3 the third number will be the largest of the remaining
Step II : 765 42 183 289 542 65 110 350
Step III : 765 42 542 183 289 65 110 350
Step IV : 765 42 542 65 183 289 110 350

2. What should be the third step of the following input?
Input: 239 123 58 361 495 37

A) 495 37 361 123 239 58
B) 495 37 58 361 123 239
C) 495 37 58 123 361 239
D) 495 37 361 58 239 123
E) 495 37 361 239 123 58
E) 495 37 361 239 123 58
Explanation:

Input: 239 123 58 361 495 37
Step I: 495 239 123 58 361 37
Step II: 495 37 239 123 58 361
Step III: 495 37 361 239 123 58

3. How many steps will be required to get the final output from the following input?
Input: 39 88 162 450 386 72 29

A) Two
B) Three
C) Five
D) Six
E) Four
C) Five
Explanation:

Input: 39 88 162 450 386 72 29
Step I: 450 39 88 162 386 72 29
Step II: 450 29 39 88 162 386 72
Step III: 450 29 386 39 88 162 72
39 is already in place, so
Step IV: 450 29 386 39 162 88 72
Step V: 450 29 386 39 162 72 88 – last step

4. What should be the last step of the following input?
Input: 158 279 348 28 326 236

A) 348 28 326 158 279 236
B) 348 28 326 236 158 279
C) 348 28 236 158 279 326
D) 348 28 158 326 236 279
E) None of these
A) 348 28 326 158 279 236
Explanation:

Input: 158 279 348 28 326 236
For this there is no need to write all steps
Last step is 1st number largest, 2nd number smallest, 3rd number 2nd largest, and so on
So last step – 348 28 326 158 279 236

5. If the first step of an input is “785 198 32 426 373 96 49”, then which of the following steps will be “785 32 426 49 198 373 96”?
A) Third
B) Second
C) Fifth
D) Fourth
E) None of these
D) Fourth
Explanation:

Step I: 785 198 32 426 373 96 49
Step II: 785 32 198 426 373 96 49
Step III: 785 32 426 198 373 96 49
Step IV: 785 32 426 49 198 373 96

Directions (6 – 10): Answer the questions on the basis of the information given below.
A number arrangement machine when given an input of numbers, rearranges them following a particular rule in each step. The following is an illustration of input and steps of rearrangement.
Input : 37, 29, 17, 51, 46, 22, 71, 33
Step I : 33, 29, 17, 51, 46, 22, 71, 37
Step II : 33, 37, 17, 51, 46, 22, 71, 29
Step III : 33, 37, 29, 51, 46, 22, 71, 17
Step IV : 33, 37, 29, 17, 46, 22, 71, 51
Step V : 33, 37, 29, 17, 51, 22, 71, 46
Step VI : 33, 37, 29, 17, 51, 46, 71, 22
Step VII : 33, 37, 29, 17, 51, 46, 22, 71
This is the final arrangement and step V is the last step for this input.

1. What will be the 3rd step ?
Input : 19, 59, 23, 36, 60, 75, 71

A) 71, 59, 23, 36, 60, 75, 19
B) 71, 19, 59, 23, 60, 75, 36
C) 71, 19, 59, 23, 36, 60, 75
D) 71, 19, 59, 36, 60, 75, 23
E) 71, 19, 36, 59, 60, 75, 23
D) 71, 19, 59, 36, 60, 75, 23
Explanation:

In step 1, first and last numbers are interchanged.
In step 2, first number is kept as it is, 2nd number and last number interchanged.
In step 3, first and second numbers as it is, 3rd and last number interchanged.
Input : 19, 59, 23, 36, 60, 75, 71
Step I: 71, 59, 23, 36, 60, 75, 19
Step I: 71, 19, 23, 36, 60, 75, 59
Step I: 71, 19, 59, 36, 60, 75, 23

2. Which of the following will be the last step?
Input : 81, 89, 72, 43, 69, 28, 90

A) 89, 90, 43, 72, 81, 69, 28
B) 90, 89, 72, 81, 43, 69, 28
C) 90, 89, 81, 72, 69, 43, 28
D) 90, 81, 89, 69, 43, 72, 28
E) 90, 81, 89, 72, 43, 69, 28
E) 90, 81, 89, 72, 43, 69, 28
Explanation:

Input : 81, 89, 72, 43, 69, 28, 90
Step I: 90, 89, 72, 43, 69, 28, 81
Step II: 90, 81, 72, 43, 69, 28, 89
Step III: 90, 81, 89, 43, 69, 28, 72
Step IV: 90, 81, 89, 72, 69, 28, 43
Step IV: 90, 81, 89, 72, 43, 28, 69
Step IV: 90, 81, 89, 72, 43, 69, 28

3. How many steps will it take to arrange the above input?
Input : 28, 63, 65, 58, 57, 42, 40

A) Two
B) Three
C) Five
D) Six
E) Four
D) Six
Explanation:

Input : 28, 63, 65, 58, 57, 42, 40
Step I: 40, 63, 65, 58, 57, 42, 28
Step II: 40, 28, 65, 58, 57, 42, 63
Step III: 40, 28, 63, 58, 57, 42, 65
Step IV: 40, 28, 63, 65, 57, 42, 58
Step V: 40, 28, 63, 65, 58, 42, 57
Step VI: 40, 28, 63, 65, 58, 57, 42 – last step

4. Which of the following would definitely be the first step if step 2 of an input is
Step: 54, 27, 45, 36, 63, 17

A) 27, 45, 54, 36, 63, 17
B) 17, 63, 45, 36, 27, 54
C) 54, 17, 45, 36, 63, 27
D) 27, 17, 45, 36, 63, 54
E) 54, 27, 17, 36, 63, 45
E) None of these
C) 54, 17, 45, 36, 63, 27
Explanation:

Step II: 54, 27, 45, 36, 63, 17
In step II 2nd and last are interchanged, so interchange them for back to 1st step
So step I – 54, 17, 45, 36, 63, 27

5. If the first step of an input is “49 198 32 426 373 96”, then which of the following steps will be “49, 96, 198, 426, 373, 32”?
A) Third
B) Second
C) Fifth
D) Fourth
E) None of these
A) Third
Explanation:

Step I: 49, 198, 32, 426, 373, 96
Step II: 49, 96, 32, 426, 373, 198
Step III: 49, 96, 198, 426, 373, 32

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