jQuery - find a class exist and return true/false

Why not simply go for .hasClass() or length:

if ( $("selector").length ) {   /*EXISTS (greater than 0) */  }

or

if ( $("selector")[0] ) {   /*EXISTS (not undefined) */  }

or

if ( $("selector").hasClass("someClass") ) {   /*EXISTS (has class) */  }

$('.show-more').each(function () {

  if ( $(this).find("li a.seleted").length ) {
    console.log('FOUND');
    $(this).children("a").addClass('selected'); // Make main anchor  also selected 
  } else {
    console.log('NOT FOUND');
  }

});
.selected {
  background: red;
}
<ul>
  <li class="show-more">
    <a> if found .selected then add also to this anchor</a>
    <ul>
      <li><a> sub-menu</a></li>
      <li><a> sub-menu</a></li>
      <li><a class="selected"> sub-menu</a></li>
      <li><a> sub-menu</a></li>
    </ul>
  </li>
</ul>


<script src="//code.jquery.com/jquery-3.1.0.js"></script>

if($('li.show-more ul li').hasClass('defined')) {
    $('li.show-more > a').addClass('selected');
}

I assume that's what you intended with typeof?

Another option:

var active_sub_menu = $('li.show-more ul li').find('.selected');
if(active_sub_menu.length) {
    $('li.show-more > a').addClass('selected');
}