Is aibe exam is worthy? to prove one’s competency

yes why not...if a person done a degree in law and he cannot find the law having the book...then what he will do in his future....

As per your concerned query!

According to the Bar Council of India (BCI),
"It is hereby reiterated and clarified any Advocate who has graduated after 1st July 2010 can appear in All India Bar Examination for as many times as it requires him or her to pass such exam irrespective of the fact that he or she has been enrolled for more than two years as an Advocate on a state bar council roll. The concerned advocate is only barred from practising as an advocate if even after two years of being enrolled as an advocate on a state bar council roll, he or she is unable to clear/pass the All India Bar Examination".

For further details, you may visit the links
https://www-lawyersclubindia-com.cdn.ampproject.org/v/s/www.lawyersclubindia.com/amp/articles/all-india-bar-examination-aibe-why-you-need-to-pass-is-it-tough-to-pass--8930.asp?amp_js_v=a6&_gsa=1&usqp=mq331AQKKAFQArABIIACAw%3D%3D#aoh=16327630334588&referrer=https%3A%2F%2Fwww.google.com&_tf=From%20%251%24s&share=https%3A%2F%2Fwww.lawyersclubindia.com%2Farticles%2Fall-india-bar-examination-aibe-why-you-need-to-pass-is-it-tough-to-pass--8930.asp

Hopefully, it clarifies the issues!
Regards
Minakshi Bindhani