** Shares of Australia's Careteq CTQ.AX rise as much as 27.3% to A$0.014, its highest level since September 17

** Stock posts its biggest intraday pct gain since July 24

** Health-tech company signs binding sale agreement to divest its unit, Embedded Health Solutions

** Sale enables co to recalibrate balance sheet, better position it to both grow the HMR Referrals market place platform, others - CTQ

** Near 9.3 million shares change hands, 67.7x the 30-day average

** Stock has risen 4.6% this year, including session moves

(Reporting by Roshan Thomas in Bengaluru)

((Roshan.Thomas@thomsonreuters.com;))