Which of the following words indicates the location of an event?

The phrase "On examination" is appropriate for indicating the location of an event because it sets the context for where an observation or examination is taking place. This phrase typically introduces findings or insights gathered from a specific situation or examination setting, guiding the reader to understand that the subsequent information is derived from a particular encounter or assessment.

Choosing this phrase effectively communicates to the reader that the details follow will pertain directly to the examination context, helping establish a clear link between the analysis and its setting.

The other options provided do not serve the purpose of indicating location. Options like "Despite," "Furthermore," and "However" are transitional words that are used to connect ideas or contrast statements, rather than to pinpoint a specific location of an event or circumstance. Therefore, "On examination" is the most suitable choice in this context.