HTMLSelectElement.selectedIndex

var index = selectElem.selectedIndex;
selectElem.selectedIndex = index;

<p id="p">selectedIndex: 0</p>

<select id="select">
  <option selected>Option A</option>
  <option>Option B</option>
  <option>Option C</option>
  <option>Option D</option>
  <option>Option E</option>
</select>

var selectElem = document.getElementById('select')
var pElem = document.getElementById('p')

// When a new <option> is selected
selectElem.addEventListener('change', function() {
  var index = selectElem.selectedIndex;
  // Add that data to the <p>
  pElem.innerHTML = 'selectedIndex: ' + index;
})