Error de PHP Parse:error de sintaxis, T_ENCAPSED_AND_WHITESPACE inesperado, esperando T_STRING o T_VARIABLE o T_NUM_STRING

En la consulta SQL, reemplace todas las entradas de '$out[]' por {$out[]}
E intente usar IDE:NetBeans o PhpStorm.

Además, no olvide desinfecte sus datos en SQL , considere usar PDO y no use cerrar ?> etiqueta.

Tu código fijo:

<?php

$link = mysql_connect('localhost', 'name', 'password');
if (!$link)
{
    die('Could not connect: '.mysql_error());
}
echo 'Connected successfully';
mysql_select_db("recruitmentdb", $link);

$sql = "INSERT INTO recruitmentapp_candidate(id,name,contact1,contact2,contact3,e_mail,reference_type,resume_urce,date_of_first_contact,hr_contact,experience_level,current_employer,current_city ,highest_degree,year_of_highest_degree,prominent_college ,possible_projects,skill_set,track ,status ,offer_date,acceptance_date,joining_date,joining_date,comment,feedback_temp,upload_date,vacancy_id)VALUES (null,{$out['Name']},null, null,null,null,null,null,null, null,{$out['ExpLevel']},{$out['CurrEmp']},{$out['CurrCity']}, {$out['HighestDegree']},{$out['Year_Passing']},null,null,{$out['Skill_set']},null,null,null,null,null,null,null,null,null,null)";
if (!mysql_query($sql, $link))
{
    die('Error: '.mysql_error());
}
echo "1 record added";