JSFiddle - React, Tailwind, and code Playground

HTML

<select id="ddlSaved" size="1">
    <option value="4">1/2011 - 8/2012, None, None</option>
    <option value="3">asdasd</option>
    <option value="5">1/2011 - 8/2012, All, All</option>
    <option value="11">test 1234</option>
    <option value="12">asdqweasd</option>

    <option value="8">ertertert</option>
    <option value="13">asdqweasd 32</option>
    <option value="10">test</option>
    <option value="14">asdqwe2314wer</option>
    <option value="15">test #546453645</option>
</select>
    <input type="checkbox" id="mycheckbox" />

JavaScript

$('#mycheckbox').change(function() {
        $("#ddlSaved option[value='3']").remove();
    });