Would Nikkor 55-200 mm VR lens work with Nikon D3100?

Lens is AF-S DX VR Zoom-NIKKOR 55-200mm f/4-5.6G IF-ED
I have heard that all DX lens are compatible with DX series DSLRs. But D3100 is not shown on 'related product' section on its site.
http://www.nikon.co.in/...D=gp11zkyu

All "AF-S" lenses are compatible, that includes both DX and some FX ones.

This lens will work perfectly with the D3100.

Yes, all DX lens will work with it.

Nikon AF-S DX VR Zoom-Nikkor 55-200 mm f/4-5.6G IF-ED Lens
Rs. 13725
If you are in the lookout for a high power zoom lens, then the Nikon AF-S DX VR Zoom-Nikkor 55-200mm f/4-5.6G IF-ED lens is an appropriate choice. The 3.6x zoom range of the Nikon lens offers you quality images that you can show off. The Nikon telephoto zoom lens is affordable and is compactly designed in spite of constituting various features for the users' convenience.

The lens construction is carefully made with 15 elements in 11 groups. The construction of this lens also features an ED glass element especially for chromatic aberration compensation. The Nikon zoom-Nikkor lens is compatible with the Nikon D80, D40 as well as the D40x cameras. The maximum viewing angle of the Nikon AF-S DX VR Zoom-Nikkor 55-200mm f/4-5.6G IF-ED lens is 28° 50' for optimal photographic results.

Yes it will work perfectly with your camera.

How to set up Nikon D3100 for auto focus? Because for me it's hard can anyone reply me please thank you