These two links below explains how we can use a utility called Portqry to determine whether a specific port or range of ports opened on Remote Machine or not .
1. http://www.speedguide.net/faq_in_q.php?qid=117
2. http://www.petri.co.il/quickly_find_remote_open_ports.htm
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Utility
PortQry, Port Open, Remote Port