My wife's t4 value is 11.5 and tsh is 4.98 can u please suggest is it hypothyroidism or hyperthyroidism and medicine for same?

Subclinical hypothyr: She has subclinical hypothyroidism. Tsh is technically "normal", but not appropriate for someone her age. Many doctors would begin low dose brand name T4 replacement; others would wait until lab worsens.

Normal: If the TSH rises above 5, consider hypothyroidism ( weakening of the thyroid gland) & may require thyroxine supplementation. Discuss with her primary physician.