When your using ScriptManager u need to registers event's as below
var prm = Sys.WebForms.PageRequestManager.getInstance();
prm.add_endRequest(BindEvents);
function BindEvents() {
$(document).ready(function () {
$('.ddlFilter').change(function () {
var sel = $(this).val();
$('#div_date').hide();
$('#div_subject').hide();
$('#div_status').hide();
if (sel === 'Date') {
$('#div_date').show();
}
else if (sel == 'Subject') {
$('#div_subject').show();
}
else if (sel == 'Status') {
$('#div_status').show();
}
});
});
}