Reasoning: Machine Input-Output Set 9 (New Pattern)

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: 4    2    1    5    6    8    3 7
Step 1: 14    2    -1    23    34    62    7    47
Step 2: 5    2    -1    5    7    8    7 2
Step 3: 6    6    8    21    32    44    56    66
Step 4: 5    4    5    17    27    38    49    58
Step 5: 5    4    5    8    9    2    4    4
Step 6: 20    12    20    56    72    2    12 12

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

Input: 12 7 4 9 6 2 3 8

1. Find the multiplication of numbers which are 4^th from left end and 2^nd from right end in step 4?
   A) 872
   B) 931
   C) 588
   D) 765
   E) None of these
   
   View Answer

    Option B
   In each step some operation is performed
   Step 1: x² – 2 like 4 => 4² – 2 = 14
   Step 2: Addition of digits to make it a single digit number, like 12 => 1+2 = 3, 47 => 4+7=11 => 1+1 = 2
   Step 3: +1², +2², +3², +4²,….
   Step 4: -1, -2, -3, -4
   Step 5: Addition of digits to make it a single digit number
   Step 6: n * (n -1), eg 5 => 5 * (5-1) = 5*4 = 20, 1*(1-0) = 1
   Input: 12 7 4 9 6 2 3 8
   Step 1: 142 47 14 79 34 2 7 62
   Step 2: 7 2 5 7 7 2 7 8
   Step 3: 8 6 14 23 32 38 56 72
   Step 4: 7 4 11 19 27 32 49 64
   Step 5:   7  4   2  1   9  5  4  1
   Step 6: 42 12 2 1  72 20 12 1
   
2. What is the sum of numbers which are 3^rd from left end and 3^rd from right end in step 5?
   A) 12
   B) 14
   C) 27
   D) 7
   E) 3
   
   View Answer

    Option D
   
3. What is the difference in numbers which are 2^nd from left end and 3^rd from right end in step 6?
   A) 6
   B) 7
   C) 9
   D) 5
   E) -8
   
   View Answer

    Option E
   
4. In step 6, ‘42’ is related to ‘2’ in the same way as in step 3, ‘14’ is related to ‘32’. Then in step 2, ‘5’ is related to what in the same way?
   A) 2
   B) 12
   C) 7
   D) None of these
   E) Cannot be determined
   
   View Answer

    Option C
   
5. What are last two numbers in step 4?
   A) 7, 4
   B) 28, 32
   C) 5, 7
   D) 42, 64
   E) 49, 64
   
   View Answer

    Option E
   

Directions (6 – 10): Answer the questions on the basis of the information given below. 

A number arrangement machine when given an input of numbers/words, rearranges them following a particular rule in each step. The following is an illustration of input and steps of rearrangement.

Input: dump 7 sat tin 8 5 born 9 pet 4 
Step 1: set dump 7 tin 8 5 born 9 pet 4 
Step 2: set dump 7 tin 8 5 born 9 pet  61
Step 3: set pit dump 7 tin 8 5 born 9 61
Step 4: set pit dump 7 tin 8 born 9 61 52
Step 5: set pit ton dump 7 8 born 9 61 52
Step 6: set pit ton dump 8 born 9 61 52 94
Step 7: set pit ton burn dump 8 9 61 52 94
Step 8: set pit ton burn dump 9 61 52 94 46
Step 9: set pit ton burn damp 9 61 52 94 46
Step 10: set pit ton burn damp 61 52 94 46 18

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

Input: 11 pill but 9 5 ten 8 bat 7 doll

6. Which word/number is third to right of seventh element from right end in step 6?
   A) 94
   B) bet
   C) tin
   D) 11
   E) doll
   
   View Answer

    Option E
   If we see the last step, it is found that changes are done in vowels as – a->e, e->I, i->o, o->u and u->a. And also words in each step are taken according to the sequence of vowels which is a, e, I, o, u
   And for numbers: Number are taking in ascending order, squared and digits reversed, so 4 => 4^2 = 16, become 61
   Input: 11 pill but 9 5 ten 8 bat 7 doll
   Step 1: bet 11 pill but 9 5 ten 8 7 doll
   Step 2: bet 11 pill but 9 ten 8 7 doll 52
   Step 3: bet tin 11 pill but 9 8 7 doll 52
   Step 4: bet tin 11 pill but 9 8 doll 52 94
   Step 5: bet tin poll 11 but 9 8 doll 52 94
   Step 6: bet tin poll 11 but 9 doll 52 94 46
   Step 7: bet tin poll dull 11 but 9 52 94 46
   Step 8: bet tin poll dull 11 but 52 94 46 18
   Step 9: bet tin poll dull bat 11 52 94 46 18
   Step 10: bet tin poll dull bat 52 94 46 18 121  
7. In step 4, if ‘tin’ interchanges position with ‘but’ and ‘11’ with ‘52’, then how many words are there in between ‘tin’ and ‘52’?
   A) None
   B) One
   C) Two
   D) Three
   E) More than three
   
   View Answer

    Option B
   
8. How many numbers/words are between ‘tin’ and ‘but’ in step 7?
   A) None
   B) One
   C) Two
   D) Three
   E) More than three
   
   View Answer

    Option D
   
9. What is the sum of the numbers which are fourth from left end and second from right end in step 5?
   A) 36
   B) 47
   C) 63
   D) 49
   E) 45
   
   View Answer

    Option C
   11 + 52 = 63
10. What is the sum of digits of the sum of the numbers which are fourth from right end in step 9 and second from right end in step 6?
    A) 20
    B) 9
    C) 19     
    D) 11
    E) 15
    
    View Answer

     Option D
    52 + 94 = 146, so sum of digits of 146 is 1 +4+6 = 11