What is the position of “Changed” with respect to “on” in the step III?
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: 23 Services 48 and 91 under Banking 37 maintenance 18
Step I:and 23 Services 48 under Banking 37 maintenance 18 91
Step II:and Banking 23 Services under 37 maintenance 18 91 48
Step III:and Banking maintenance 23 Services under 18 91 48 37
Step IV:and Banking maintenance Services under 18 91 48 37 23
Step V:and Banking maintenance Services under91 48 37 23 18
And step V is the last step of this arrangement.
As per the rules followed in the above steps, find out in each of the following questions the appropriate step for the given input.
Input: 36 Official 73 hour 22 on parliament 25 changed 46
Correct Answer :
4th to the left
Solution :
To find the position of “changed” with respect to “on” in Step III, we must first determine the rearrangement rules followed by the machine.
Analysis of the Rules:
By observing the input and the subsequent steps in the illustration:
1. Words: In each step, one word is moved to the left side (front) in alphabetical order: and, Banking, maintenance, Services, under.
2. Numbers: In each step, one number is moved to the right side (end) in descending order: 91, 48, 37, 23, 18.
Now, we apply these rules to the given input:
Input: 36 Official 73 hour 22 on parliament 25 changed 46
Let us identify the alphabetical order of the words:
1. changed
2. hour
3. Official
4. on
5. parliament
Let us identify the descending order of the numbers:
1. 73
2. 46
3. 36
4. 25
5. 22
Now, let us perform the step-by-step rearrangement:
Input: 36 Official 73 hour 22 on parliament 25 changed 46
Step I: changed 36 Official hour 22 on parliament 25 46 73 (“changed” is moved to the extreme left, and “73” is moved to the extreme right)
Step II: changed hour 36 Official 22 on parliament 25 73 46 (“hour” is moved to the position after “changed”, and “46” is moved to the end)
Step III: changed hour Official 22 on parliament 25 73 46 36 (“Official” is moved to the position after “hour”, and “36” is moved to the end)
Let us write down the final sequence in Step III:
1. changed
2. hour
3. Official
4. 22
5. on
6. parliament
7. 25
8. 73
9. 46
10. 36
Now, we locate the positions of “changed” and “on”:
- The word “on” is at the 5th position from the left.
- The word “changed” is at the 1st position from the left.
Counting the position of “changed” starting from “on” towards the left:
- 1st to the left: 22
- 2nd to the left: Official
- 3rd to the left: hour
- 4th to the left: changed
Therefore, “changed” is 4th to the left of “on”.
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