Step 1: Understand linear list–based directory structure.
In a linear list–based directory, file entries are stored sequentially without
any indexing or hashing mechanism.
As a result, operations that must verify a condition against all file names may require traversing the entire directory.
Step 2: Analyze creation of a new file.
When creating a new file in directory foo, the system must ensure
that no existing file has the same name.
Since the directory is maintained as a linear list, this uniqueness check requires comparing the new name with every existing entry.
Hence, a full directory scan is necessary.
Step 3: Analyze renaming of an existing file.
Renaming a file also requires verifying that the new name does not conflict
with any other file name in the directory.
This again involves checking the new name against all directory entries, which necessitates a full scan.
Step 4: Eliminate other operations.
Option (B) — Deletion:
Deletion requires locating the file, but once it is found, the operation can
be completed without scanning the remaining entries.
Option (D) — Opening a file:
Opening a file only requires searching until the matching entry is found.
A complete traversal of the directory is not mandatory.
Final Conclusion:
The operations that necessarily require a full scan of directory foo
are:
• Creation of a new file
• Renaming of an existing file