Hardware Components

The technician should replace the faulty CPU fan to fix the problem of sudden shutdowns. A non-functioning CPU fan can lead to overheating, causing the computer to shut down unexpectedly to prevent damage to the processor. Reinstalling the operating system, updating the BIOS, or adding more RAM would not address the root cause of the issue, which is the malfunctioning CPU fan. Replacing the fan will allow proper cooling of the CPU, preventing overheating and the resulting sudden shutdowns.

The best answer is to reseat or replace the RAM. Since the system is freezing during startup and displaying a memory-related BIOS POST error code, this points to a problem with the RAM. Reseating the RAM modules can resolve issues caused by loose connections, while replacing the RAM may be necessary if the modules are faulty. Flashing the BIOS, reinstalling the operating system, or replacing the graphics card would not address the specific memory-related error indicated during the POST process.

The Central Processing Unit (CPU) is the correct answer for this question. Here's why:

The CPU is the main component responsible for executing mathematical and logical operations in a computer system. It is often referred to as the 'brain' of the computer because it performs most of the processing and calculations.

Let's examine the other options:

Random Access Memory (RAM) is not correct. RAM is temporary storage for data and instructions that the CPU needs to access quickly. It does not perform calculations or logical operations.

Graphics Processing Unit (GPU) is also incorrect. While a GPU does perform calculations, it is specifically designed for rendering graphics and video. It's not the primary component for general mathematical and logical operations in a computer system.

Arithmetic Logic Unit (ALU) is close, but not the best answer. The ALU is actually a part of the CPU that performs arithmetic and logical operations. However, the CPU as a whole is responsible for executing these operations, making it the more comprehensive and accurate answer.

In summary, the Central Processing Unit (CPU) is the primary component responsible for executing mathematical and logical operations in a computer system, making it the best answer to this question.