1. $(".slider").click(function() {alert( $(this).parent("table.question > tr > td > input").attr("name"); });

and HTML (DOM):

1. 
   <table border="1" width=50% >
   <tr>
   <td>
   <table border="0" width=100%>
   <tr>
   <td colspan=21 align=center><input name="001001" type="hidden" value="1001" />1. Не везет, так не везет...</td>
   </td>
   <tr>
   <td>
   <div class="slider-container" style="width:500px; margin:auto; vertical-align:top;">
   <div id="slider_1" class="slider"></div>
   <div class="scale"></div>
   </div>
   </td>
   <td width="18" align="center" id="100150">&nbsp;<input name="001001" type="hidden" value="__">
   </td>
   </tr>
   </table>
   </td>
   </tr>
   </table>
   
   
   <table border="1" width=50% >
   <tr>
   <td>
   <table border="0" width=100%>
   <tr>
   <td colspan=21 align=center><input name="001002" type="hidden" value="1001" />1. Не везет, так не везет...</td>
   </td>
   <tr>
   <td>
   <div class="slider-container" style="width:500px; margin:auto; vertical-align:top;">
   <div id="slider_1" class="slider"></div>
   <div class="scale"></div>
   </div>
   </td>
   <td width="18" align="center" id="100150">&nbsp;<input name="001002" type="hidden" value="__">
   </td>
   </tr>
   </table>
   </td>
   </tr>
   </table>
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   

How I'm can learn a name of an element <input>?