Final answer:
HDMI and DisplayPort are the only interfaces among the options listed that can transmit both video and audio data whereas VGA and DVI primarily handle video.
Step-by-step explanation:
HDMI, which stands for High-Definition Multimedia Interface, is designed to transmit both high-definition video and audio from a source to a display, such as a computer monitor or television.
DisplayPort is another interface that transmits both video and audio; it's quite similar to HDMI but often found in computer setups and can support higher video resolutions and refresh rates.
The other interfaces mentioned, VGA (Video Graphics Array) and DVI (Digital Visual Interface) do not inherently support audio transmission, with DVI having limited capability when adapted for HDMI and VGA being solely for video.