Test center at nagpur

Anyone can please guide me that does elitmus test is available in Nagpur

Yes elitmus z Everything.

but there is no center display on site

In Maharashtra, only two place is available where the elitmus test is conducted this are mumbai and pune.

I myself gave the test in nagpur. The tests appear on the site only if they are going to be conducted within the next few days/weeks. Either you can wait for them to conduct the test at nagpur. Or travel till mumbai or pune which ever is convenient for you.

Can you please tell where the test is conducted in nagpur? So that I can arrange for the convenience

Test center is not disclosed untill 2 days before the exam.
You will know it when you get your admit card.