Pattern recognition: Fever for a month, headache, ataxia, basal exudates and hydrocephalus together name one disease, Tubercular Meningitis. Once you fix the diagnosis, the CSF answer falls out.
The TBM CSF mnemonic: think Low glucose, High protein, Lymphocytes. Mycobacteria sit in the subarachnoid space for weeks, so the cellular response is lymphocytic rather than neutrophilic, the bugs and trapped cells consume glucose, and the thick basal exudate raises protein sharply.
Eliminate by glucose and protein: Viral meningitis keeps glucose normal, so option B is out. An exudative TB process can never leave protein normal, so option C is out. Pyogenic bacterial meningitis is what gives neutrophils, and it raises protein rather than dropping it, so option D is out. Only option A, lymphocytosis with low glucose and high protein, matches.
Clinical pearl: Basal exudate is the anatomical reason for both the cranial nerve palsies and the obstructive hydrocephalus in TBM, so seeing dilated ventricles plus basal enhancement should immediately steer you to this CSF profile.
Ref: Harrison's Principles of Internal Medicine, 20e.