# Reasoning Questions: Machine Input-Output Set 40

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Welcome to Online Reasoning Section with explanation in AffairsCloud.com. Here we are creating Best question samples from Machine Input-output, which is common for all the IBPS, SBI , LIC, and other competitive exams. We have included questions that are repeatedly asked in bank exams !!!

(Direction 1 – 5): Study the following information carefully and answer the questions given below.
A number arrangement machine, when given a particular input, rearranges it following a particular rule. The following is the illustration of the input and the steps of arrangement.
Input: 39 55 19 20 37 41 68 53
Step I: 19 39 55 37 41 68 53 20
Step II: 19 37 55 41 68 53 20 39
Step III: 19 37 41 68 53 20 39 55
Step IV: 19 37 41 53 20 39 55 68
Step V: 21 34 43 50 22 36 57 65
Step VI: 21 34 43 50 36 57 65 22
Step VII: 21 43 50 36 57 65 22 34
Step VIII: 21 43 57 50 65 22 34 36
Step IX: 21 43 57 65 22 34 36 50
And Step IX is the last step of the rearrangement as the desired arrangement is obtained. As per rules followed in the above steps, find out in each of the questions the appropriate step for the given input.

Input: 25 58 47 33 23 73 64 61

1. How many steps are needed to complete this arrangement?
1) X
2) XII
3) VI
4) VIII
5) IX
Solution:
Logic:
Step I – Step IV: Prime numbers are arranged in ascending order from the left end and other numbers are arranged from the right end.
Step V: +2, -3, +2, -3….
Step VI-Step IX: Odd numbers are arranged in ascending order from the left end and even numbers are arranged from the right end.
Input: 25 58 47 33 23 73 64 61
Step I: 23 58 47 33 73 64 61 25
Step II: 23 47 58 73 64 61 25 33
Step III: 23 47 61 73 64 25 33 58
Step IV: 23 47 61 73 25 33 58 64
Step V: 25 44 63 70 27 30 60 61
Step VI: 25 44 63 70 27 60 61 30
Step VII: 25 27 63 70 60 61 30 44
Step VIII: 25 27 61 63 70 30 44 60
Step IX: 25 27 61 63 30 44 60 70
Step IX is the last step.
Hence, IX Steps are needed to complete this arrangement.

2. Which of the following is fourth from the left end of Step VI in the above arrangement?
1) 61
2) 80
3) 60
4) 70
5) None of these
Hence, 70 is fourth from the left end of Step VI.

3. Which of the following represents the sum of the first and the last elements in the second last step?
1) 50
2) 85
3) 100
4) 95
5) 115
The first and the last elements in the second last step = 25 + 60.
Sum = 85.
Hence, 85 is the correct answer.

4. Which of the following is step V of the given input?
1) 25 27 61 63 70 30 44 62
2) 25 44 63 70 27 30 62 61
3) 25 44 63 70 27 30 60 61
4) 25 44 63 70 27 60 61 30
5) None of these
Answer – 3) 25 44 63 70 27 30 60 61
Hence, ‘25 44 63 70 27 30 60 61’ is step V.

5. Which elements are there between 6th from the left and 6th from the right in step IV?
1) 63, 70
2) 44, 59
3) 73, 25
4) 25, 62
5) 64, 73
The sixth from left = 33.
The sixth from right= 61.
Between 61 and 33 = 73, 25
Hence, 73 and 25 are there between the 6th from the left and 6th from the right in step IV.

(Directions 6 – 10): Study the following information to answer the given questions.
A number arrangement machine when given an input line of words and numbers rearranges them following a particular rule. The following is an illustration of input and rearrangement. Step 4 is the last step of the rearrangement. As per the rules followed in the above steps, find out in each of the following questions.
Input: 15 04 12 15 19 10 24 07

1. What is difference between the sum of numbers of step 1 and the product of numbers of step 3?
1) Multiple of 5
2) Multiple of only 3
3) Multiple of only 4
4) Multiple of both 3 and 4
5) Multiple of 9
Answer – 4) Multiple of both 3 and 4
Solution:
Input: 15 11 18 14 16 06 19 13
Here mathematical operation is followed in every step.
Step1: The average of first and last, then second and second last number and so on taken:
(15 + 13)/2 = 14, (11 + 19)/2 = 15, (18 + 06)/2 = 12, (14 + 16)/2 = 15.
Step2: First number is multiplied with difference with its next number:
14 × (15 – 14) = 14, 15 × (15 – 12) = 45, 12 × (15 – 12) = 36.
Step3: Second number is divided by sum of digit of its previous number:
45/(1 + 4) = 45/5 = 9, 36/(4 + 5) = 36/9 = 4.
Step4: Difference between numbers:
9 – 4 = 5.
Now, for Input: Sum of numbers of step 1 ⇒ 11 + 14 + 11 + 17 = 53.
Product of numbers of step 3 ⇒ 7 × 11 = 77.
Difference = 77 – 53 = 24.
As we can see 24 is multiple of both 3 and 4, therefore this is the correct option.

2. Which number will appear in step four of given input?
1) 6
2) 4
3) 3
4) 5
5) 8
Hence, 4 appear in step4 of given input.

3. What is the sum of numbers present in step 3?
1) 16
2) 18
3) 20
4) 15
5) None of these
Hence, sum of numbers of step 3 is 11 + 7 = 18.

4. Which number is repeated twice in step 1?
1) 11
2) 14
3) 17
4) 15
5) 18
Hence, 11 is repeated twice in step 1.

5. Which of the following is largest number in step 2?
1) 33
2) 42
3) 55
4) 66
5) 70