Step 1: Define the disorder. Down syndrome arises from trisomy of chromosome 21 and produces typical dysmorphic facies, developmental delay, and intellectual disability that is usually in the mild to moderate range.
Step 2: Match to the old label. In older medical literature, intellectual-disability conditions including Down syndrome were grouped under the term oligophrenia (from Greek for little mind). The previously used name mongolism is now considered offensive and obsolete.
Step 3: Reject the false key. Submental disorder is not a real synonym for Down syndrome, so the printed answer cannot stand. Likewise, madness and mentally unstable are non-specific and incorrect.
Step 4: Conclude. The correct designation among the choices is oligophrenia.
\[\boxed{\text{Oligophrenia}}\]