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 4th from left end and 2nd 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 3rd from left end and 3rd 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 2nd from left end and 3rd 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

  1. 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  
  2. 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
  3. 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
  4. 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
  5. 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

 

 

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