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Double Side Arrangement Problems

Machine Input - Concepts

Shifting Type Machine Input Problems

Single Side Arrangement Problem

Double Side Arrangement Problems

Class - SBI PO Prelims Subjects

Concept Explanation

Double Side Arrangement Problems

Arranagement Type:- In this type of questions, the words or the numbers are arranged as per a fixed pattern. This pattern can be an alphabetical order in case of words, it can be an increasing or decreasing order in case of numbers.

How to identify whether the given input is of shifting or arrangement?

The basic difference between them are that the shifting goes on endlessly and at last it is written and so on and in arrangement arranging ends as soon as the order intended is achieved I.e., arrangement type of questions has last step.

Arrangement is of two types.

1. Single side arrangement. 2. Double side arrangement.

Double Side Arrangement : From the above examples we have seen the type of arrangement now let's see the type of logic as it can be alphabetical, numerical, alpha-numerical etc. Let's understand it with the below diagram.

Based on vowel

Based on consonant

Based on increasing number

Based on decreasing number

Based on number of letters in given word

Based on odd number

Based on even number

Based on alphabetical order

Based on reverse alphabetical order

Based on square of number

Based on cube of number

Tricks Regarding Arrangement:

In questions on arrangement when any step is given and input is asked answer will be "cant be determined".

To identify the pattern in question prefer the last step.

In this type of question when words all of sudden get transformed in number then the numbers most of the time comes from the place value of first or last letter of the word.

In arrangement problems, the contents of an earlier step can never be determined with certainly.

Illustration: Study the following information carefully and answer the questions given below. A number arrangement machine, when given a particular input, rearranges it following a particular rule. The following is the illustration of the input and the steps of arrangement.

Input: 39 55 19 20 37 41 68 53

Step I: 19 39 55 37 41 68 53 20

Step II: 19 37 55 41 68 53 20 39

Step Ill: 19 37 41 68 53 20 39 55

Step IV: 19 37 41 53 20 39 55 68

Step V: 21 34 43 50 22 36 57 65

desired arrangement is obtained. As per rules followed in the above steps, find out the appropriate step for the given input.

Input: 25 58 47 33 23 73 64 61

Which of the following is step V of the given input?

A. 25 27 61 63 70 30 44 62 B. 25 44 63 70 27 30 62 61

C. 25 44 63 70 27 30 60 61 D. 25 44 63 70 27 60 61 30

E. None of these

Answer: C

Solution: on analysing the steps we find that

Step I-Step IV: Prime numbers are arranged in ascending order from the left end and other numbers are arranged from the right end.

Step V: +2, -3, +2, -3.

Input: 25 58 47 33 23 73 64 61

Step I: 23 58 47 33 73 64 61 25

Step II: 23 4758 73 64 61 25 33

Step IlI: 23 47 61 73 64 25 33 58

Step IV: 23 47 61 73 25 33 58 64

Step V: 25 44 63 70 27 30 60 61

Hence the correct option is C.

Sample Questions

(More Questions for each concept available in Login)

Question : 1

A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of input and various steps rearrangement.
(All the numbers are two digit numbers).

Input	:	11	day	34	night	93	pace	27	easy	44	joy
Step I	:	93	11	day	34	night	pace	27	easy	44	joy
Step II	:	93	11	34	night	pace	27	easy	44	joy	day
Step III	:	93	44	11	34	night	pace	27	easy	joy	day
Step IV	:	93	44	11	34	night	pace	27	joy	day	easy
Step V	:	93	44	34	11	night	pace	27	joy	day	easy
Step VI	:	93	44	34	11	night	pace	27	day	easy	joy
Step VII	:	93	44	34	27	11	night	pace	day	easy	joy
Step VIII	:	93	44	34	27	11	pace	day	easy	joy	night
Step IX	:	93	44	34	27	11	day	easy	joy	night	pace

And Step IX is the last step of the rearrangement as the desired arrangement is obtained. As per rules followed in the above steps, find out in each of the questions the appropriate step for the given input.

Input for the questions:

class 25 war 15 race 73 heap 58 just 88 take 38

What is the position of ‘war’ in the Step ‘VII’?

Sixth from the left end

Fifth from the right end

Fifth from the left end

Eighth from the right end

Right Option : A

View Explanation

Explanation

After careful analysis of the given input and various steps of rearrangement,

it is evident that in the first step the highest number is placed at the extreme left position.

In the second step the word which comes first in the alphabetical order is placed at the extreme right position.

In the next step second highest number is placed at the second position from the left.

After that in the next step the word which comes second in the alphabetical order is placed at the extreme right position.

These two steps are continued alternatively till all the numbers get arranged in the descending order from the left and all the words get arranged in alphabetical order after the numbers.

Input	:	class	25	war	15	race	73	heap	58	just	88	take	38
Step I	:	88	class	25	war	15	race	73	heap	58	just	take	38
Step II	:	88	25	war	15	race	73	heap	58	just	take	38	class
Step III	:	88	73	25	war	15	race	heap	58	just	take	38	class
Step IV	:	88	73	25	war	15	race	58	just	take	38	class	heap
Step V	:	88	73	58	25	war	15	race	just	take	38	class	heap
Step VI	:	88	73	58	25	war	15	race	take	38	class	heap	just
Step VII	:	88	73	58	38	25	war	15	race	take	class	heap	just
Step VIII	:	88	73	58	38	25	war	15	take	class	heap	just	race
Step IX	:	88	73	58	38	25	15	war	take	class	heap	just	race
Step X	:	88	73	58	38	25	15	war	class	heap	just	race	take
Step XI	:	88	73	58	38	25	15	class	heap	just	race	take	war

The word ‘war’ is sixth from the left end in step VII.

Hence the correct option is A.

Question : 2

A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in every step. The following is an illustration of input and rearrangement. Input: 79 create history 88 imagined 94 every 63 leader 96 Step I: 88 79 create history imagined 94 63 leader 96 every Step II: 88 79 96 history imagined 94 63 leader every create Step III: 88 79 96 history imagined 94 63 every create leader Step IV: 88 79 96 94 imagined 63 every create leader history Step V: 88 79 96 94 63 every create leader history imagined Step V is the last step of the arrangement. Following the same pattern solve the given input. Input: never 42 leaved 39 important object 53 46 anyplace 74 Which of the following will be on the immediate right of ‘Important’ in step III?
A. Object	B. Never	C. 42	D. 53
Right Option : D
View Explanation

Explanation

Input: 79 create history 88 imagined 94 every 63 leader 96

Step I: 88 79 create history imagined 94 63 leader 96 every

Step II: 88 79 96 history imagined 94 63 leader every create
Step III: 88 79 96 history imagined 94 63 every create leader
Step IV: 88 79 96 94 imagined 63 every create leader history
Step V: 88 79 96 94 63 every create leader history imagined
Step V is the last step of the arrangement.

Here in the above input the numbers and the words are arranged in the different manner.

Arrangement of numbers : Here the numbers are arranged as the number whose sum of the digits is highest is arranged on the extreme left in the Step I after that the number whose sum of the digits is second highest is arranged the right of the number arranged in step I.

Number	Digits Sum
88	16
79	16
96	15
94	13
63	9

As the digits sum of both ‘88’ and ‘79’ is same, then the highest number i.e. 88 will be arranged first.

Number	Arrangement Step
88	Step I
79	Step II
96	Step III
94	Step IV
63	Step V

As the arrangement of the numbers follows the left to right pattern therefore it might be possible that some numbers are arranged automatically.

Arrangement of words : Here the words are arranged as the word having highest number of letters is arranged on the extreme left in the Step I after that the word having second highest number of letters is arranged the right of the word arranged in step I.

If the sum of the digits of two numbers is same then number which highest will be arranged first.

Word	Number of Letters
every	5
create	6
leader	6
history	7
imagined	8

As the number of letters in both ‘create’ and ‘leader’ are same, then the word which comes first according to dictionary i.e. ‘create’ will be arranged first.

Word	Arrangement Step
every	Step I
create	Step II
leader	Step III
history	Step IV
imagined	Step V

As the arrangement of the words follows the right to right pattern therefore the number of steps required to complete the arrangement will not be not be less than the number of words in the given input.

Now, the given input:

Input: never 42 leaved 39 important object 53 46 anyplace 74

Numbers:

Number	Digit Sum	Arrangement Step
39	12	Step I
74	11	Step II
46	10	Step III
53	8	Step IV
42	6	Step V

Words:

Word	Number of Letters	Arrangement Step
never	5	Step I
leaved	6	Step II
object	6	Step III
anyplace	8	Step IV
important	9	Step V

As the number of letters in both ‘leaved’ and ‘object’ are same, then the word which comes first according to dictionary i.e. ‘leaved’ will be arranged first.

Arrangement:

Input: never 42 leaved 39 important object 53 46 anyplace 74
Step I: 39 42 leaved important object 53 46 anyplace 74 never
Step II: 39 74 42 important object 53 46 anyplace never leaved
Step III: 39 74 46 42 important 53 anyplace never leaved object
Step IV: 39 74 46 53 42 important never leaved object anyplace
Step V: 39 74 46 53 42 never leaved object anyplace important
Step V is the last step of the arrangement.

Following the final solution we can say that ‘53’ will be on the right of ‘Important’ in step III.

Hence the correct option is D.

Question : 3

Study the following information carefully and answer the questions given below. A number arrangement machine, when given a particular input, rearranges it following a particular rule. The following is the illustration of the input and the steps of arrangement. Input : telecom turtle tares 225 64 toll 49 81 treason 256 Step I : tares telecom turtle 225 64 toll 81 treason 256 49 Step II : tares telecom toll turtle 225 81 toll 81 treason 256 49 64 Step III : tares telecom toll treason turtle 225 256 49 64 81 Step IV : tares telecom toll treason turtle 226 49 64 81 225 Step V : tares telecom toll treason turtle 49 64 81 225 256 Step VI : 19 13 12 14 5 7 8 9 15 16 Step VII : 1 3 4 5 5 7 7 8 9 Step VII : 1 3 4 5 5 7 7 8 9 Step VII is the last step of the above input arrangement. As per rules followed in the the above steps, find out in the following question the appropriate step for the given input. Input : shadow shad 100 324 shack shabby 441 676 snake 289 squad 841 Which of the following will be step VII for the given above input ?
A. 25 11 5 3 5 4 10 26 29 17 18 21	B. 25 11 5 23 5 4 26 29 10 17 18 21	C. 25 11 5 23 18 21 26 29 5 4 10 17	D. 25 11 5 23 5 4 10 17 18 21 26 29
Right Option : D
View Explanation