Reasoning: Machine Input-Output Questions — Set 33

Directions (1-5): A string of numbers is given as input. The further steps given are obtained by applying certain logic. Numbers of step II have been obtained by using at least 1 digit of each number in step I. Each step is a resultant of previous step only.

Input:

1. Which number is greatest in step 1?
   A) 53
   B) 67
   C) 88
   D) 60
   E) Other than options given
   
   View Answer

    Option C
   Solution:
   Step I: Multiply consecutive digits according to arrows.. 2*4 = 8, 4*1 = 4 so 84……79….65
   Step II: (8+7) * 6 = 90…….(4+9) * 5 = 65
   Step III: 9-0=9…..6-5=1
   Step IV: Average — (9+1)/2 = 5
   So, now
   Step I: 88…..…67……..65
   Step II:      84……75 
   Step III:      4……..2
   Step IV:            3   
2. What is the second smallest number obtained in any step of given input?
   A) 2
   B) 2.5
   C) 4
   D) 3
   E) 3.5
   
   View Answer

    Option D
   
3. Find the difference between sum of numbers obtained in 1st step and sum of numbers obtained in all other steps.
   A) 52
   B) 67
   C) 89
   D) 72
   E) 76
   
   View Answer

    Option A
   Solution:
   Required difference = (88+67+65) – (84+75+4+2+3)
4. What is the difference between the second largest number and the smallest number obtained in any steps?
   A) 64
   B) 108
   C) 95
   D) 82
   E) 71
   
   View Answer

    Option D
   Solution:
   Required difference = 84 – 2 = 82
5. What is the average of numbers obtained in last 2 steps?
   A) 4
   B) 5
   C) 3
   D) 7
   E) None of these
   
   View Answer

    Option C
   Solution:
   Required average =(4+2+3)/3 = 3 

Directions (6 – 10): Answer the questions on the basis of the information given below.
A number arrangement machine when given an input of words/numbers, rearranges them following a particular rule in each step. The following is an illustration of input and steps of rearrangement.

Input: ancient 16 draft upper 52 39 earn portal 63 32 hence 21
Step 1: upper ancient draft 52 39 earn portal 63 32 hence 21 18
Step 2: 22 upper ancient draft 52 39 earn 63 32 hence 18 portal
Step 3: earn 22 upper ancient draft 52 39 63 hence 18 portal 34
Step 4: 40 earn 22 upper ancient draft 52 63 18 portal 34 hence
Step 5: ancient 40 earn 22 upper draft 63 18 portal 34 hence 54
Step 6: 64 ancient 40 earn 22 upper 18 portal 34 hence 54 draft

This is the final arrangement and step 6 is the last step for this input.

Input: 68 occupy 23 55 factor early 22 kind 34 ideal 17 safe

6. How many words/numbers are between ‘ideal’ and ‘factor’ in step 5?
   A) 3
   B) 5
   C) 2
   D) 6
   E) 4
   
   View Answer

   Option A
   Explanation:
   In the given example:
   Words: 3 start with vowel, 3 with consonants. Step 1: vowel at first, step 2 : consonant at last and so on.
   Numbers: 3 odd numbers, 3 even numbers. Step 1: smallest even (+2) at last. Step 2: smallest odd (+1) at first and so on.
   Now::
   Input: 68 occupy 23 55 factor early 22 kind 34 ideal 17 safe
   Step 1: occupy 68 23 55 factor early kind 34 ideal 17 safe 24
   Step 2: 18 occupy 68 23 55 factor early kind 34 ideal 24 safe
   Step 3: ideal 18 occupy 68 23 55 factor early kind 24 safe 36
   Step 4: 24 ideal 18 occupy 68 55 factor early 24 safe 36 kind
   Step 5: early 24 ideal 18 occupy 55 factor 24 safe 36 kind 70
   Step 6: 56 early 24 ideal 18 occupy 24 safe 36 kind 70 factor
   
7. Which word/number is second to left of fifth element from the right end in step 4?
   A) safe
   B) factor
   C) 68
   D) 55
   E) early
   
   View Answer

   Option D
   second to left of fifth from right = 7th from right
8. In step 6, ‘early’ is related to ‘18’ in the same way as in step 3, ‘68’ is related to ‘factor’. Now in step 5, ‘factor’ is related to what in the same way?
   A) kind
   B) safe
   C) 24
   D) occupy
   E) None of these
   
   View Answer

   Option E
   
9. In which of the following step numbers do words ‘68 55 factor 24’ occur together?
   A) 9
   B) 4
   C) 6
   D) 5
   E) There is no such step
   
   View Answer

   Option E
   
10. What is the sum of numbers which is 4th from left end in step 3 and which is 5th from right end in step 5?
    A) 71
    B) 84
    C) 67
    D) 92
    E) None of these
    
    View Answer

    Option D
    68 + 24 = 92

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