[Solution from source] HCl gives 20 × 0.050 = 1.0 mmol H⁺; Ba(OH)₂ gives 30 × 0.10 × 2 = 6.0 mmol OH⁻. After neutralisation 5.0 mmol OH⁻ remain in 50 mL: [OH⁻] = 0.10 M. Forgetting that Ba(OH)₂ gives two OH⁻ per formula unit leads to a wrong value. Answer (4).