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#java script function
function displayExams() {
...
var student = document.getElementById("STUDENT_NAME").value;

var exams=document.getElementById("EXAMS_APPEARED").value;

select style='$style_input' name='EXAMS_APPEARED' id='EXAMS_APPEARED' 
+onClick=\"displayExams();\" >
<option value=''>--Select--</option>
...
stmts...

}