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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