What is the correct meaning of the word 'eligible"?

The closest meaning of the word "eligible" among the choices you provided is: suitable.

Here's why:

• Eligible implies that someone or something meets the necessary requirements or qualifications for something. This aligns with "suitable" which means fitting or proper for a particular purpose or situation.
• Worthwhile suggests something is valuable or worth the time or effort. While eligibility can lead to something worthwhile, it doesn't directly mean that.
• Legible refers to being clear and easy to read. This doesn't relate to the concept of meeting requirements.
• Able means having the capacity or power to do something. While eligibility might imply the ability to do something (like participate in an event), it focuses more on fulfilling the criteria rather than the general capacity.

Therefore, "suitable" best captures the essence of "eligible" by highlighting that someone or something is qualified or fit for a specific situation.