The correct answer is A. Toner probe.
A toner probe is an electronic test instrument that can help trace wires and locate the port where a printer is connected on a patch panel. A toner probe consists of two parts: a tone generator and a tone detector. The tone generator sends a signal through the cable, and the tone detector picks up the signal at the other end. By using a toner probe, a technician can identify which port on the patch panel corresponds to the printer cable.
A loopback plug is a device that can test the functionality of a network port by sending and receiving signals from the same port. A loopback plug is not useful for locating ports on a patch panel.
A cable tester is a device that can verify the integrity and continuity of a cable by checking for open, short, or miswired connections. A cable tester can also measure the length and resistance of a cable. A cable tester is not useful for locating ports on a patch panel.
A Wi-Fi analyzer is a software or hardware tool that can monitor and analyze wireless networks by scanning for available channels, signal strength, security settings, and other parameters. A Wi-Fi analyzer is not useful for locating ports on a patch panel.
Reference: comptia A+ Core 1 - Hardware And Network Troubleshooting - ExamGuides.com

An overheated CPU is the most likely cause of a computer that has been randomly shutting down without warning. A CPU generates heat when it performs calculations, and if the heat is not dissipated properly, it can damage the CPU or cause it to malfunction. A computer that shuts down randomly is a common symptom of an overheated CPU, as the system tries to protect itself from further damage by shutting down or restarting.
The other options are not as likely to cause this issue. A corrupted OS may cause the computer to crash, display errors, or fail to boot, but it does not affect the CPU temperature or the system fan. Incompatible memory modules may cause the computer to beep, display a blue screen, or fail to recognize the installed RAM, but they do not cause the CPU to overheat or the system to shut down randomly. Low system resources may cause the computer to slow down, freeze, or display a low memory warning, but they do not affect the CPU temperature or the system fan.
To troubleshoot and resolve an overheated CPU issue, the user should check and clean the air vents, provide proper ventilation, apply thermal paste, replace the fan or the heat sink, or upgrade the CPU if necessary. The user should also update the BIOS and the device drivers, adjust the power settings, and monitor the system temperature using diagnostic tools.
References:
* CompTIA A+ Certification Exam Core 1 Objectives1
* The Official CompTIA A+ Core 1 Student Guide (Exam 220-1101) eBook2
* How to Troubleshoot Fan Issues | Dell US3
* Why your laptop fan is loud and how to fix it | Asurion4
* HP Notebook PCs - Fan is noisy and spins constantly (Windows)5

Testing the power supply first ensures that the correct voltage is reaching all components, which is a common cause of boot issues. Modifying BIOS settings is not possible without a POST. Checking PCIe cards or replacing the motherboard are secondary steps if the power supply is functional. CompTIA A+ Core 1 objectives cover power supply testing as an essential troubleshooting step in system startup issues.

A SIM card is needed for the device to use cellular network services, so without it, the device will be unable to connect to the cloud services when taken off site. MDM (Mobile Device Management) can be used to manage settings and access on a device, but it is not necessary for the device to be able to use cloud services. S
/MIME (Secure/Multipurpose Internet Mail Extensions) certificates are used to encrypt and digitally sign emails, and are not related to device connectivity. Bluetooth can be used to connect devices together, but it is not necessary for the device to be able to use cloud services.