Using Mutual Checkboxes when there is Radio button is a bad idea but still you can do this as follows
HTML
<div>
Red: <input id="chkRed" name="chkRed" type="checkbox" value="red" class="checkbox">
Blue: <input id="chkBlue" name="chkBlue" type="checkbox" value="blue" class="checkbox">
Green: <input id="chkGreen" name="chkGreen" type="checkbox" value="green" class="checkbox">
</div>
<div>
Mango: <input id="chkRed" name="chkMango" type="checkbox" value="Mango" class="checkbox">
Orange: <input id="chkBlue" name="chkOrange" type="checkbox" value="Orange" class="checkbox">
Banana: <input id="chkGreen" name="chkBanana" type="checkbox" value="Banana" class="checkbox">
</div>
Jquery
$('div .checkbox').click(function () {
checkedState = $(this).attr('checked');
$(this).parent('div').children('.checkbox:checked').each(function () {
$(this).attr('checked', false);
});
$(this).attr('checked', checkedState);
});
And here is fiddle
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