GATE CS 2014 Set 2 — Question 30
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+1 / -0MediumFile Allocation MethodsFile SystemsOperating System
Operating System → File Systems → File Allocation Methods
Last updated
Question
A FAT (file allocation table) based file system is being used and the total overhead of each entry in the FAT is 4 bytes in size. Given a bytes disk on which the file system is stored and data block size is bytes, the maximum size of a file that can be stored on this disk in units of bytes is ____________.
Correct answer
99.55 to 99.65
Solution
Let be the disk size, be the block size, and be the FAT entry size.
Given:
bytes
bytes
bytesThe disk stores both the FAT and the data blocks. Let be the number of blocks.
The total space used is the space for the FAT entries plus the space for the data blocks.The number of blocks available for data is .
The maximum file size is the total size of these data blocks:Converting to units of bytes:Answer: 99.6
Given:
bytes
bytes
bytesThe disk stores both the FAT and the data blocks. Let be the number of blocks.
The total space used is the space for the FAT entries plus the space for the data blocks.The number of blocks available for data is .
The maximum file size is the total size of these data blocks:Converting to units of bytes:Answer: 99.6
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE CS question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on File Systems
2026 Set 2 Q23Which one of the following CPU scheduling algorithms cannot be preemptive?2026 Set 1 Q29With respect to deadlocks in an operating system, which of the following statements is/are FALSE?2026 Set 1 Q31In the context of relational database normalization, which of the following statements is/are true?2026 Set 1 Q35Consider a system consisting of instances of a resource , being shared by 5 processes.…2026 Set 2 Q51Consider three processes P1, P2, and P3 running identical code, as shown in the pseudocode below. A…