Which is bigger resolution-1360x768 or 1280x1024

As already mentioned 1280x1024 is the higher pixel count resolution so would require the most processing power to display but the real main difference between the 2 is the aspect ratio with 1280x1024 being a 5:4 ratio and 1360x768 being 16:9 widescreen ratio so which is preferable will more be dependent on which type of display you have !
 

Zenthar

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For gaming and videos, widescreen (16:9) can be preferable, for everything else I think 5:4 is WAY better. Websites are mostly vertical and so are written documents so I think 1280 x 1024 is better from a productivity standpoint.