Step 1: Start from the gate-keeping number. To call airflow obstruction COPD at all, the post-bronchodilator $FEV_1/FVC$ must be under $0.70$; this applies to every stage equally.
Step 2: Rank the stages by how low $FEV_1$ percent predicted falls. The most extreme grade, Stage IV or very severe, sits at $FEV_1 < 30\%$ predicted.
Step 3: Test the options against that benchmark. Only the choice pairing $FEV_1/FVC < 70$ with $FEV_1 < 30$ lands in the very severe band.
Step 4: The other thresholds describe milder grades - $FEV_1 < 70$ is mild/moderate and $FEV_1 < 50$ is severe (Stage III). Therefore the very severe definition is the first option.
\[\boxed{FEV_1/FVC < 70\ \text{and}\ FEV_1 < 30}\]