Thanks for the help, LuizScruz! Finally, found a solution that works.
Tried this on my - Toshiba Satellite C665-P5010 to enter BIOS and it works👍
Step 1: Shutdown the laptop.
Step 2: Drain all its power by removing the battery and pressing the power button.
Step 3: Put the battery back, switch on the laptop, and press F2. And Voila! You get BIOS.