I got XAT:91.85(QA:31.79,VA:94.42,DM:97.76), CAT:55.46. My profile is 10th:69.2, 12th 68.2, B.com: 60.4. My chances to get GD/PI call?

For XAT the cut off in 2013 was 80%. But there is sectional cut off. General category CAT cut off last year was 86 %. Since QA score in XAT is low, your chance is on doubt. If you can take a chance, apply to LIBA. Cannot assure anything regardinng cut off this year. Last date to apply is 01 Feb