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10th Class Mental Ability Sequential Output Tracing Sequential Output Tracing

Sequential Output Tracing

Category : 10th Class

When an input of some numbers is given to a number generating machine, it gives sets of numbers in a specific pattern as an output.

Infect an input may be of letters/words or numbers or combination of both.

A student is required to analyses the data (input and output) and identify the pattern to answer the questions.

Let us write some commonly used patterns:

1.     Arrangement of the given numbers in ascending/descending order.

2.     Arrangement of the given numbers stepwise in the order: greatest, smallest, second greatest, second smallest, and so on.

3.     Arrangement of given words in alphabetical and reverse alphabetical order.

4.     Arrangement of a particular set of words in the reverse order, stepwise.

 

 

EXAMPLE

 

 

1.       Direction (I-II): Study the following information to answer the questions given below:

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

 

Input :

48

245

182

26

99

542

378

297

Step I :

542

48

245

182

26

99

378

297

Step II :

542

26

48

245

182

99

378

297

Step III :

542

26

378

48

245

182

99

297

Step IV:  

542

26

378

48

297

245

182

99

Step V :

542

26

378

48

297

99

245

182

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

 

I.          How many steps will be required to get the final output from the following input?

Input:    39    88    162   450   386   72    2

(a) Two                         (b) Three          

(c) Four                         (d) Five

 

II.         What will be the fourth step for an input whose second step is given below?

 

Step II :

765

42

183

289

542

65

110

350

(a)

765

42

542

65

110

183

289

350

(b)

765

42

542

350

183

289

65

110

(c)

765

42

542

65

183

289

110

350

(d)

Can't be determined

 

 

Explanation (I-II):

In the given arrangement, the numbers are rearranged as highest/ lowest, 2nd highest, 2nd lowest, 3rd highest, 3rd lowest and so on alternately.

 

I.            (d): 

Input:

39

88

162

450

386

72

29

Step I:

450

39

88

162

386

72

29

Step II:

450

29

39

88

162

386

72

Step III:

450

29

386

39

88

162

72

Step IV:   

450

29

386

39

162

88

72

Step V:

450

29

386

39

162

72

88

 

So, Step V is the last step for the given input.

 

II.         (c):

           

Step II :

765

42

183

289

542

65

110

350

Step III :   

765

42

542

183

289

65

110

350

Step IV :

765

42

542

65

183

289

110

350

 

 

 

 

2.       Direction (I-II): Study the following information carefully and answer the given questions.

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 rearrangement.

 

Input  :

quick

fire

15

28

39

war

19

yellow

Step I   :

yellow

quick

fire

15

28

39

war

19

Step II  :

yellow

15

quick

fire

28

39

war

19

Step III :

yellow

15

war

quick

fire

28

39

19

Step IV :

yellow

15

war

19

quick

fire

28

39

Step V  :

yellow

15

war

19

quick

28

fire

39

And Step V is the last step of the above input.

 

I.          Step II of an input is: zebra 12 bank carriage 46 31 29 dusk. Which of the following steps will be the second last?

(a) IV                            (b) V              

(c) VII                           (d) VIII

 

II.         Step III of an input is: train 23 star 61 32 fall hard 53.  Which of the following is definitely the input?

(a)

23

star

61

train

32

fall

hard

53

(b)

star

train

61

23

32

fall

hard

53

(c)

61

star

23

train

32

fall

hard

53

(d)

Can't be determined

 

 

Explanation (I-II):

The words are arranged in reverse alphabetical arranged in ascending order alternately.

I.          (b) :

           

Step II :

zebra

12

bank

carriage

46

31

29

dusk

Step III :

zebra

12

dusk

bank

carriage

46

31

29

Step IV :  

zebra

12

dusk

29

bank

carriage

46

31

Step V : 

zebra

12

dusk

29

carriage

bank

46

31

Step VI :  

zebra

12

dusk

29

carriage

31

bank

46

 

Step VI is the last step. So, step V is the second last.

 

II.         (d): The terms can be rearranged in several ways, so it is not possible to determine the input accurately.

 

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