Read the trap: hematologic response but neurologic decline after folate is the signature of an underlying vitamin B12 deficiency, so option 4 is correct.
Her vibration loss and frequent falls reflect subacute combined degeneration of the dorsal columns, a B12 lesion. B12 normally recycles methyltetrahydrofolate back to tetrahydrofolate for DNA synthesis. When you flood the system with folate, you bypass that block, so red cell production resumes and the anemia improves. The catch is that the renewed DNA synthesis rapidly draws down the already low B12 reserves, and folate offers no protection to the nervous system, so the myelopathy progresses.
The other options do not fit: folate clearly was absorbed (the anemia corrected), pyridoxine deficiency causes a different picture, and a CNS folate-reductase defect is not the mechanism here. Always check B12 before treating megaloblastic anemia with folate.
Ref: Standard hematology texts.