Case statement in where clause SQL Server (even or odd find number)

 SELECT max_student_allowed, max_student_allowed/2 AS Half_of_Max_Student, *, Total_Certified, Total_Placed, 

Total_Trained FROM VW_getInvoiceBatchDetails WHERE Training_Partner_id = 'ESDM-HR-TP-000379' and batch_code = 'batch-hr-20452-db'

AND Total_Placed>=(CASE WHEN max_student_allowed % 2 = 0

THEN ((max_student_allowed/2))

    ELSE ((max_student_allowed/2)+1)

END )

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Also we can use mod function for finding even and odd values

for even 
SELECT * 
FROM table_name  
WHERE mod(column_name,2) = 0;
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for odd
SELECT * 
FROM table_name  
WHERE mod(column_name,2) <> 0;