What is the multiplication of the digits within the element which is 5th from the right of the word “hour” in the final step?
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 :
24
Solution :
The correct answer is 24.
By analyzing the rearrangement pattern, we observe two simultaneous operations in each step:
1. Words are moved to the left one by one in alphabetical order (changed, hour, Official, on, parliament).
2. Numbers are moved to the right one by one in descending order (73, 46, 36, 25, 22).
Applying these rules to the given input:
Input: 36 Official 73 hour 22 on parliament 25 changed 46
Step I: changed 36 Official hour 22 on parliament 25 46 73
Step II: changed hour 36 Official 22 on parliament 25 73 46
Step III: changed hour Official 22 on parliament 25 73 46 36
Step IV: changed hour Official on 22 parliament 73 46 36 25
Step V: changed hour Official on parliament 73 46 36 25 22
Step V is the final step of the rearrangement. Let's list the elements in Step V:
[changed, hour, Official, on, parliament, 73, 46, 36, 25, 22]
Starting from the word "hour" and moving to the right:
- 1st to the right: Official
- 2nd to the right: on
- 3rd to the right: parliament
- 4th to the right: 73
- 5th to the right: 46
The 5th element from the right of the word "hour" is 46.
The multiplication of the digits within this element is:
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