Can the lenovo Y40 run games at high with 512ssd 16gb or Ram RadeonR9 275m?

Slow loading high-data table has the answer:
http://www.notebookcheck.net/...849.0.html
Yes, it does gaming.
The key is R9 M275
When table eventually finishes its loading, the gpu rank is #77 as near NVidia GTX 760M and GTX 670M
http://www.notebookcheck.net/...666.0.html
GRID: Autosport 2014 reports high settings 1080p 31.1fps
Thief 2014 - x768 26.8fps, med. X768 22.6fps, high x768 19.3fps, ultra x1080 10.5fps
Fifa 14 2013 ultra 1080p smooth play
Company of Heroes 2 - medium-high
Metro: Last Light 2013 - medium high
BioShock Infinite 2013 - should get high settings fairly smoothly
It can run many games on high settings, some medium, some low.
Newest games have higher graphics needs, so even as graphics performance gets better, gaming tries to keep one step ahead.

The graphics ranks above the year 2012 Alienware M14X
Alienware 14" today has either GT 750M in the low end models which at rank 107 is BELOW the Lenovo Y40, and GeForce GTX 765M in the high end models which at rank 56 is above the Y40, so in gaming performance it is about midway between the Alienware models at a better price.

Having an SSD doesn't improve gaming performance. All it improves is boot time and the loading of large programs/games/files.