To get the latest record using the admission date column, the query can be built in several different ways.
One way is to select it using a non-correlated condition, for example:
SELECT *
FROM Patient
WHERE Admission_Date = (SELECT MAX(Admission_Date) FROM Patient)
The above will work only if there is no duplicates with the admission date.
Another option could be to use TOP, for example:
SELECT TOP(1)
ptn_no,
admission_date
FROM Patient
ORDER BY admission_date DESC
Again if there are duplicates for admission date, you will basically get a random record for the latest admission date.