Change non-multi option in Multi question to Radio button

Challenge

Normally, all options in Multi question are displayed as check boxes. This task is to change options which are non-multi selections to radio buttons instead of check boxes.

Example

Script

function checkboxClick(radioPos)
{
   $("input[type='radio']").each(
      function(j){
         if(this.checked)
         {
            this.checked = false;
            quest.options[radioPos[j]].checked = false;
         }
   });
}

function radioClick(pos, radioPos)
{
      $("input[type='radio']").each(function(j){
         if(pos!=j)
         {
            this.checked = false;
            quest.options[radioPos[j]].checked = false;
         }
         else
         {  
            this.checked = true;
            quest.options[radioPos[pos]].checked = true;
         }
      });
      $("input[type='checkbox']").each(
         function(j){
            if(this.checked)
            {
               this.checked = false;
               quest.options[j].checked = false;
            }
      });
      quest.options[radioPos[pos]].checked = true;
      $("input[type='checkbox']")[radioPos[pos]].checked = true;
}

function position(arr, element)
{
   var i=0;
   for(i=0;i<arr.length;i++)
      if(arr[i]==element)   
         return i;
   return -1;
}

quest.onInit = function()
{
   var i;
   var j;
   var x= quest.options.length;
   var radioPos = new Array();
   // change input to 
   $("input[type='checkbox']").each(
      function(i)
      {
         if(quest.options[i].single==true)
         {
            radioPos.push(i);
            var radio = $("<input type='radio'>").attr("name","radioPos" + i);
            $(this).parent().append(radio);
            if(quest.options[i].checked)      
               $(radio).attr("checked",true);   
            $(this).hide();
         }
      }
   
   );

   $("input[type='checkbox']").each(
      function(i)
      {
         $(this).click(function(){
            checkboxClick(radioPos);
         });
      }
   
   );
   
   $("input[type='radio']").each(
      function(i)
      {
         $(this).click(function(){
            
            radioClick(i,radioPos);
         }
         );
      }
      );
      
   $(".option_link").each(
      function(i)
      {
         $(this).click(function(){
            
            if(position(radioPos,i)>=0)
            {
               $("input[type='radio']").each(
               function(j){
                  if(position(radioPos,i)!=j)
                  {
                     this.checked = false;
                  }
                  else
                  {
                     this.checked = true;
                  }
               });
     
            }
            else
            {
                $("input[type='radio']").each(
                  function(j)
                  {
                     this.checked = false;
                  });
            }
         });
      }
   );
}