Reasoning: Machine Input-Output Questions — Set 34

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: fog 13 angle post 75 26 lamp 31 earn 58 outer 79
Step 1: 131 fog angle post 75 lamp 31 iearn 58 outer 79 262
Step 2: angle 131 post 75 lamp 31 iearn 58 outer 79 262 fog
Step 3: 313 angle 131 post 75 lamp earn outer 79 262 fog 585
Step 4: earn 313 angle 131 post 75 outer 79 262 fog 585 lamp
Step 5: 757 earn 313 angle 131 post outer 262 fog 585 lamp 797
Step 5: outer 757 earn 313 angle 131 262 fog 585 lamp 797 post

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

Input: 28 hut under 75 out 45 12 break 21 pot 63 east

1. What is the position of ‘212’ in step 5 from right end?
   A) 7th
   B) 9th
   C) 5th
   D) 4th
   E) 8th
   
   View Answer

   Option C
   Explanation:
   Words: consonants and vowels taken in alternate steps. Vowel at first place, consonant at last.
   Numbers taken in ascending order – and added the first digit at the end while arrangement. like 13 -> 131, 26 -> 262, 31 ->313, 58 -> 585…..
   Now::
   Input: 28 hut under 75 out 45 12 break 21 pot 63 east
   Step 1: 121 28 hut under 75 out 45 break pot 63 east 212
   Step 2: east 121 28 hut under 75 out 45 pot 63 212 break
   Step 3: 282 east 121 hut under 75 out pot 63 212 break 454
   Step 4: out 282 east 121 under 75 pot 63 212 break 454 hut
   Step 5: 636 out 282 east 121 under pot 212 break 454 hut 757
   Step 6: under 636 out 282 east 121 212 break 454 hut 757 pot
   
2. In step 6, if ‘out’ is related to ‘212’ in the same way as in step 2, ‘75’ is related to ‘63’ in a certain way, then in step 3, ‘under’ is related to which of the following in the same way?
   A) pot
   B) 212
   C) 121
   D) break
   E) 63
   
   View Answer

   Option E
   
3. What is the sum of numbers – 6th from the left end in step 3 and 4th from the right end in step 4?
   A) 258
   B) 287
   C) 232
   D) 265
   E) 239
   
   View Answer

   Option B
   75 + 212 = 287 
4. In which of the following step number do the words/numbers ‘121 212 break 454’ occur together?
   A) 2
   B) 4
   C) 3
   D) 6
   E) 5
   
   View Answer

   Option D
   
5. How many words/numbers are there between ‘121’ and ’63’ in step 4?
   A) 2
   B) 5
   C) 3
   D) 4
   E) None of these
   
   View Answer

   Option C
   

Directions (6-10): Consider the following steps for given input and read the instructions to reach to the last step.

Instructions:
Step-I: Interchange the alphabets in input as arrows mentioned

Step-II: (i) If both letters are consonant and number is less than 5, then 1st consonant changes to next letter and 2nd consonant changes to previous letter in English alphabetical series.
(ii) If there is one vowel and one consonant, then consonant changes to next letter in English alphabetical series.
(iii) It there is single consonant, then add 2 to the number.
(iv) It there is single vowel, then vowel changes to previous letter in English alphabetical series.

Step-III: has been derived using a special pattern.

Input:

6. What is the sum of all numbers in step II of given input?
   A) 42
   B) 40
   C) 33
   D) 36
   E) 38
   
   View Answer

    Option E
   Solution:
   Try to derive rules for step III, same as given for step II
   We see, 
   when there are both consonants like ST8, it changes to TS7, means when both consonants are there, (1st consonant + 1), (2nd consonant – 1) , and no changes (no – 1)
   Next, when there is single consonant like Z8, it changes to X8, so (consonant – 2)
   Next, when there is one vowel and one consonant, like NE1 -> NF4, given (vowel + 1) and (no +3)
   So rules for step III are:
   (i) If both letters are consonant, then 1st consonant changes to next letter, 2nd consonant changes to previous letter in English alphabetical series and subtract 2 from number.
   (ii) If there is one vowel and one consonant, then vowel changes to next letter and add 3 to the number.
   (iii) It there is single consonant, then consonant changes to next to next letter in English alphabetical series.
   (iv) If there are two vowels, then 2nd vowel changes to next letter and add 3 to the number.
   For given input:
        
7. In last step, which of the following letter/s occur more than 2 times?
   A) D
   B) A
   C) J
   D) Both J and D
   E) None
   
   View Answer

    Option C
   
8. Which of the following represents the second element in 3rd row in step III?
   A) T2
   B) R2
   C) DJ4
   D) S2
   E) CK5
   
   View Answer

    Option B
   
9. In step III, how many letters are there which represent number less than 13 according to English alphabetical series? (A = 1, B = 2, ….., Z = 26)
   A) 3
   B) 5
   C) 6
   D) 1
   E) 4
   
   View Answer

    Option B
   D, J, A, B and I
10. From step II to III, numbers in how many boxes change?
    A) 3
    B) 5
    C) 2
    D) 1
    E) 4
    
    View Answer

     Option A
    CK5 -> DJ4. UA1 -> UB4 and NI3 -> NJ6 

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