Electrical engineering is the most math heavy of the engineering disciplines. You rely heavily on differential equations when dealing with advanced circuit analysis and electromagnetism is basically a physics and math course. In a close second is mechanical engineering, which uses dynamics a lot. Chemical engineering is in last probably. Differential equations are used a lot, but that is true of all the engineering disciplines. Industrial engineering often has a lot of economics built in, which of course uses mathematics.
This is all very subjective though, but I think it is a good characterization.
Mathematics is a core subject which is used in all engineering branches. Normally, EEE has more mathematics application than other 2 mentioned by you.(things like derivatives, integration etc).
I would recommend you to go for ME in case you don't like maths much. I would also recommend you to visit http://www.askiitians.com/forums/
it depends upon syllabus prepared in the institute.
if you dont get admission there then you can go for either Amity or LPU, both are having almost same rank. But as compare to Amity, lovely provide high amount of scholarship with less costly fee structure. You compare the both by yourself and decide which one is best for you .
It is best to join in civil ..as maths used there is some what easier than the other