Well, it's clear that for a given mass of nitrogen, the mass of oxygen in oxides A, B and C is in the ratio 4:2:1. So the question is: what oxides fit this pattern. Columns 1, 2 and 3 all fit this pattern. From here there are two ways you could proceed. You could say that NO4 and N4O are unknown, so Column 2 must be the right one. Or you could actually work out the mass ratio of N and O in NO, and see which one fits. Both lead to the same answer.