Hello sir,

YES, you are eligible for appearing for GATE exam to pursue M.E. in IIT even at the age of 40 years. This is because there is no age bar set to apply for the exam i.e. there is no maximum or minimum age limit to appear GATE Exam . So, students can appear as many GATE Papers as they want.

Furthermore, the eligibility criteria for GATE Exam is as follows :

• Candidates must have passed graduation in engineering/technology or Master's degree in any relevant science subject.
• Candidates in the pre-final or final year of their qualifying degree are also eligible to appear for GATE.

Further, to know more information about the GATE examination, you can follow the below mentioned link to know more : https://engineering.careers360.com/articles/gate-eligibility-criteria

I hope that this will help.