Not only is this not true, it's hard to see how anyone could think it MIGHT be true.
There's a positive correlation between math and the other disciplines named: if you're no good at math, you're not likely to be good at economics, physics, or engineering. (Being good at math doesn't mean you WILL be good at the other things, but at least it won't be because you can't handle the math.) At a guess, I'd say there's probably a positive correlation between physics and engineering as well. The kind of math that's mostly used in economics isn't all that closely related to the typical kinds used in physics and engineering, so there's probably no strong correlation between economics and the other subjects either way.
I'm good at Math and I passed Chemistry.
Sounds backwards to me.
You'll certainly not fail physics BECAUSE you are good at math - you NEED math for physics and engineering.
You'll certainly not have difficulty in physics and engineering BECAUSE you are good at math or economics; math, especially, is important in physics.
No.
It always depend on the person if he will pass a subject or not.
No
Not necessarily but you will be expected to understand computing - as a tool for aiding complex calculations, not an end in itself. You are right about the maths, but economics? Engineering is the practical application of science, principally physics but also chemistry.
None of those talents or shortcomings is a reliable predictor. You will fail Physics, Chemistry, Engineering, or any other specialty, if you expect it to be so hard that you'll fail it, or if you expect it to be so easy that you'll sail through without work. The decision to fail it or not fail it is your decision to make, and has no connection with what you think you're good at or not good at.
No.
Not so sure about economics but you will need physics.
No you will not fail.