An aqueous NaOH solution is 20% by mass and has density $1.22\mathrm{g}\mathrm{m}{\mathrm{L}}^{-1}$ ($\mathrm{NaOH}=40$, $\mathrm{H}{}_2\mathrm{O}=18$). Which statements are correct?

Per 100 g solution: NaOH = 0.5 mol, water = 80 g. Molarity = 1.22 x 1000 x 0.20/40 = 6.1 M (true). Molality = 0.5/0.080 = 6.25 m (true). x(NaOH) = 0.5/(0.5 + 4.444) = 0.101, so 0.20 is false. 100 mL has mass 122 g and NaOH = 0.20 x 122 = 24.4 g (true).