Consider a computer C1 has n CPUs and k processes. Which of the following statements are False?a)The maximum number of processes in ready state is K.b)The maximum number of processes in block state is K.c)The maximum number of processes in running state is K.d)The maximum number of processes in running state is n.Correct answer is option 'B,C'. Can you explain this answer?

Question

Answer

The maximum number of processes in ready state is K:

This statement is true. This statement is true. In a system with k processes, all k processes can be in the ready state simultaneously. If Not given Number of process then the number of processes in the ready state at any given time depends on the current scheduling algorithm and the amount of CPU time available. It is not limited by the number of processes or CPUs in the system.

The maximum number of processes in block state is K:

This statement is false. The block state typically represents processes that are waiting for some event or resource, and the number of processes in the block state is not necessarily limited to k. It depends on the nature of the processes and the resources they are waiting for.

The maximum number of processes in running state is K:

This statement is false. The maximum number of processes that can be in the running state simultaneously is limited by the number of CPUs available in the system, which is n in this case, not K.

The maximum number of processes in running state is n:

This statement is true. The number of processes that can be in the running state simultaneously is limited by the number of CPUs available in the system, which is n in this case. If there are more than n processes in the ready state, some of them have to wait until a CPU becomes available.
Hence the correct answer is option 2, and option 3.

Answer

Understanding Process States in a Multi-CPU Environment
In a computer system with n CPUs and k processes, various states exist for processes: ready, blocked, and running. Let's analyze the statements to identify which are false.
Statement A: Maximum Processes in Ready State
- The ready state represents processes that are prepared to run but are not currently executing.
- Since there can be many processes waiting, the maximum number of processes in the ready state is indeed k.
Statement B: Maximum Processes in Block State
- The blocked state comprises processes waiting for resources (like I/O operations) to become available.
- Unlike the ready state, there can be many processes blocked, but the number of blocked processes is not constrained by k in a direct manner.
- Processes can be blocked without necessarily competing for a CPU, meaning this statement is false.
Statement C: Maximum Processes in Running State
- The running state indicates processes currently being executed by CPUs.
- In a system with n CPUs, only n processes can be running simultaneously. Hence, the maximum number of processes in the running state is not k but n. This statement is false.
Statement D: Maximum Processes in Running State is n
- This statement accurately reflects the system's constraints, as only n CPUs can execute n processes at any given time.
Conclusion
- The false statements are B and C because:
- B incorrectly implies an upper limit on blocked processes based solely on k.
- C inaccurately suggests that k processes can run simultaneously when limited by the number of CPUs, n.
Understanding these distinctions is crucial in process management within operating systems.

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