Suggest Wide Angle Zoom Lens?

I'm looking for a wide angle zoom lens compatible with Nikon D3200, the following I've shortlisted:

• Tamron Zoom Wide Angle-Telephoto 28-70mm f/3.5-4.5 Manual Focus
• Tokina 16.5-135mm f/3.5-5.6 DX Zoom Lens
• Sigma 18-50mm f/2.8-4.5 DC OS HSM Standard Zoom Lens

If any other are suggested do let me know, the budget is 13K INR.

On a DX-sensor camera like the D3200, the Tamron doesn't give you a true wide angle view as the 28 mm translates to 42 mm (in 35 mm film format terms) on a DX camera (crop factor 1.5x), nor does it have much of a zoom range.
And although I have no personal experience with the Tokina, its online reviews aren't favourable.
To some degree, the same goes for the Sigma 18-50 mm. The Sigma does have a fast f/2.8 aperture, but it's expensive for what it is and seems a poor substitute for comparable, original Nikon counterparts such as the (far more expensive: US$ 2, 000) 17-35 mm f/2.8.

A good alternative in your price range would be Nikon's own 18-55mm 1:3.5-5.6G AF-S VR standard kit lens, which is often bundled with a D3200. Since it has VR - Vibration Reduction- a fast aperture (such as the Sigma's) is less important when shooting in low light although you won't get the same shallow depth-of-field effects as with a f/2.8 lens. I can say from experience that it's very sharp, small and lightweight, and covers many, if not most, photographic situations the average photographer might encounter.

What lenses do you currently have, what subjects do you shoot, and what do you find your current lenses to be lacking at?

I wouldn't buy any of these. #1 and #2 won't even autofocus on your camera. #3 is decent, but you'd pay a lot of money for a lens that is quite similar to the kit lens that you probably already own.