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The minimum number of record movements required to merge five files A (with 10 records), B (with 20 records), C (with 15 records), D (with 5 records) and E (with 25 records) is:
  • a)
    165
  • b)
    90
  • c)
    75
  • d)
    65
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The minimum number of record movements required to merge five files A ...
Arrange files in increasing order of records
5(D) 10(A)
No of movements=15+30+45+75=165
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Most Upvoted Answer
The minimum number of record movements required to merge five files A ...
Given Information:
- File A has 10 records.
- File B has 20 records.
- File C has 15 records.
- File D has 5 records.
- File E has 25 records.

Objective:
We need to determine the minimum number of record movements required to merge these five files.

Method:
To merge the files, we can follow a simple approach of merging two files at a time until all the files are merged into one. This can be done by following these steps:
1. Merge files A and B to create a temporary file AB.
2. Merge files AB and C to create a temporary file ABC.
3. Merge files ABC and D to create a temporary file ABCD.
4. Merge files ABCD and E to create the final merged file.

Calculating the Number of Movements:
To calculate the minimum number of record movements required, we need to determine the number of movements at each step.

1. Merge files A and B:
- To merge files A and B, we need to compare the records in both files and arrange them in a sorted order in the temporary file AB.
- Since File A has 10 records and File B has 20 records, we need to compare a total of 10 + 20 = 30 records.
- In the worst case scenario, each comparison may require one record movement. Therefore, the number of movements required to merge files A and B is 30.

2. Merge files AB and C:
- To merge files AB and C, we need to compare the records in all three files and arrange them in a sorted order in the temporary file ABC.
- Since File AB has 30 records and File C has 15 records, we need to compare a total of 30 + 15 = 45 records.
- In the worst case scenario, each comparison may require one record movement. Therefore, the number of movements required to merge files AB and C is 45.

3. Merge files ABC and D:
- To merge files ABC and D, we need to compare the records in all four files and arrange them in a sorted order in the temporary file ABCD.
- Since File ABC has 45 records and File D has 5 records, we need to compare a total of 45 + 5 = 50 records.
- In the worst case scenario, each comparison may require one record movement. Therefore, the number of movements required to merge files ABC and D is 50.

4. Merge files ABCD and E:
- To merge files ABCD and E, we need to compare the records in all five files and arrange them in a sorted order in the final merged file.
- Since File ABCD has 50 records and File E has 25 records, we need to compare a total of 50 + 25 = 75 records.
- In the worst case scenario, each comparison may require one record movement. Therefore, the number of movements required to merge files ABCD and E is 75.

Total Number of Movements:
To calculate the total number of movements, we add up the number of movements required at each step:
30 + 45 + 50 + 75 = 200

Therefore, the minimum number of record movements required to merge the given files is 200. However, this does not match any of the provided options.

Correct
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