Q:

How to apply Multiple filter on single column of grid in Extjs 4.2

For Example, I am Having Grid 
Can I apply Different type of Filter on Single column ? 

A:

It is not this simple but you can add items in the header menu with the event headertriggerclick.  Then you can add your custom functionality that add another filter in it. 
this.on('headertriggerclick', function(ct) {
    var grid = ct.grid;
    var menu = ct.getMenu();

    menu.items // Add custom items here, you can copy the existing filter item (should be the last one)
});

