Reasoning: Machine Input-Output Questions — Set 35

Directions (1 – 5): 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: dine 23 pine 45 19 tool hut 68 32 angle
Step 1: angle dine 23 pine 45 19 tool hut 68 32
Step 2: angle dine 23 pine 45 tool hut 68 32 20
Step 3: dine angle 23 pine 45 tool hut 68 32 20
Step 4: dine angle pine 45 tool hut 68 32 20 22
Step 5: hut dine angle pine 45 tool 68 32 20 22
Step 6: hut dine angle pine 45 tool 68 20 22 33
Step 7: pine hut dine angle 45 tool 68 20 22 33
Step 8: pine hut dine angle tool 68 20 22 33 44
Step 9: tool pine hut dine angle 68 20 22 33 44
Step 10: tool pine hut dine angle 20 22 33 44 69

This is the final arrangement and step 10 is the last step for this input.

Input: more 38 12 fun kite 56 run bolt 18 43

1. What is the position of ‘38’ in step 5 from right end?
   A) 7th
   B) 9th
   C) 5th
   D) 6th
   E) 8th
   
   View Answer

   Option D
   Explanation:
   Words: taken alphabetically in alternate steps starting from step 1
   Numbers taken in ascending order in alternate steps starting from step 2. Also, alternately, 1 is added to, and 1 is subtracted from number.
   Now::
   Input: more 38 12 fun kite 56 run bolt 18 43
   Step 1: bolt more 38 12 fun kite 56 run 18 43
   Step 2: bolt more 38 fun kite 56 run 18 43 13
   Step 3: fun bolt more 38 kite 56 run 18 43 13
   Step 4: fun bolt more 38 kite 56 run 43 13 17
   Step 5: kite fun bolt more 38 56 run 43 13 17
   Step 6: kite fun bolt more 56 run 43 13 17 39
   Step 7: more kite fun bolt 56 run 43 13 17 39
   Step 8: more kite fun bolt 56 run 13 17 39 42
   Step 9: run more kite fun bolt 56 13 17 39 42
   Step 10: run more kite fun bolt 13 17 39 42 57
2. In step 8, if ‘56’ is related to ‘kite’ in the same way as in step 3, ‘run’ is related to ‘38’ in a certain way, then in step 5, ‘43’ is related to which of the following in the same way?
   A) more
   B) 17
   C) 38
   D) bolt
   E) fun
   
   View Answer

   Option C
   
3. What is the sum of numbers – 4th from the left end in step 4 and 4th from the right end in step 8?
   A) 58
   B) 87
   C) 32
   D) 65
   E) 51
   
   View Answer

   Option E
   38 + 13 = 51
4. In which of the following step number do the words/numbers ‘bolt more 56 run’ occur together?
   A) 2
   B) 4
   C) 3
   D) 6
   E) 5
   
   View Answer

   Option D
   
5. How many words/numbers are there between ‘more’ and ’56’ in step 9?
   A) 2
   B) 5
   C) 3
   D) 4
   E) None of these
   
   View Answer

   Option C
   

Directions (6-10): 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:

6. Find the addition of numbers obtained in step II.
   A) 113
   B) 167
   C) 88
   D) 104
   E) Other than options given
   
   View Answer

    Option D
   Solution:
   Step I: Subtraction.
   (8-3) (6-2) = 54………(4-1)(6-4) = 32…………16
   Step II: Multiplication of consecutive digits in each box.
   [Given that – Numbers of step II have been obtained by using at least 1 digit of each number in step I.] So
   5*3*1 = 15……………4*2*6 = 48
   Step III: Average.
   (1+5)/2 = 3……………(4+8)/2 = 6
   Step IV: Addition.
   (3+6) = 9
   So, now for given Input
   63…….43……..82……..27…….29…….14
   Step I: 44…..…26……..72
   Step II:      56……48
   Step III:    5.5……..6
   Step IV:          11.5   
7. Find the multiplication of numbers obtained in steps III and IV.
   A) 228.5
   B) 379.5
   C) 354.5
   D) 318.5
   E) 273.5
   
   View Answer

    Option B
   
8. If the digits of all numbers in step II are increased by 1 each, then what is the difference between the sum of numbers in step I and sum of numbers in step II?
   A) 16
   B) 17
   C) 14
   D) 15
   E) 19
   
   View Answer

    Option A
   Solution:
   In step II, 56 -> 67, and 48 -> 59
   So required difference = (44+26+72) – (67+59) = 16
9. If all the decimal numbers are round off to their nearest greater integer, then how many numbers in all 4 steps are divisible by 4?
   A) Three
   B) One
   C) Four
   D) Five
   E) Two
   
   View Answer

    Option D
   Solution:
   In step III, 5.5 -> 6, In step IV, 11.5 -> 12
   So, numbers divisible by 4 are = 44, 72, 56, 48, 12
   
10. What is the difference between the largest and second smallest number in any step?
    A) 42
    B) 75
    C) 63
    D) 47
    E) 66
    
    View Answer

     Option E
    Solution:
    Required difference = 72 – 6 = 66

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