Question

which of the following sentence is correct: 1-Neither of them are eligible. 2-Neither of them is eligible.

Answer 1

The second sentence is correct. 'Neither' is a determiner. The determiners both, either and neither are used when referring to groups of two. Both refers to two things of a group of two, either refers to one thing of a group of two, and neither refers to zero things of a group of two.