Quad Core or Intel i3 4030-U

I am going to take a stab and say the quad core you are referring to is the A8-6410 APU with the integrated Radeon R5 (Beema) graphics core. In terms of overall CPU performance the Core i3-4030u is at least just as powerful as the A8-6410. The Intel HD 4400 integrated graphics core is overall a bit more powerful than the Radeon R5 (Beema) graphics core.