Can I pursue MS from Australia or New Zealand with 55 backlogs and 6 band in IELTS?

Yes, IELTS or equivalent test scores have to be submitted by the Indian students of Purdue University. To take admission to Purdue Uni, here are the minimum scores required: 

Students coming from other countries have to proof their English language proficiency by submitting the scores of some popular programs like IELTS, TOEFL, and Duolingo. The university expect an IELTS score between 7.5 and 8. Students can check UIUC English language requirements below:

International students coming from multiple countries should provide English language proficiency by submitting the scores of IELTS and TOEFL. The English language requirements for Symbiosis International University is given below:

University of Waterloo requires a minimum of 6.5 scores in IELTS for UG and PG programs. Other English tests whose marks are accepted by the university are below -

Yes taking German Visa without IELTS is possible. If the university accepts your MOI and gives you an admission letter, the embassy usually accepts it too. The altenatives of IELTS English test is also a path. But you must check the specific Germany student visa requirements for your country carefully.