Both of them are good in their own ways. However, if you are looking at Hyderabad based colleges, Woxsen schould be a natural choice. It has only 240 students for PGDM compared to 1200+ students for Ibs Hyderabad. Great faculty, individual grooming, excelelnt campus life, international standard infrastructure, 100% placement with high salary (average INR 8Lacs per annum) makes Woxsen a league apart. Their international immersion program in Singapore / Germany is also the best after IIMs (BLACK). 

IBS Hyderabad overall is a 'very good' management college as per Careers360 rating and ranking. It is ranked as AAAA. In terms of placements, on an average one can expect a package around 6-7 lacs per year, highest package last year was 47 lakh and it was an international Placement. Extra curriculum and clubs in the college are actually highlighting factors there. The case based approach study is really interesting and practical and it really helps you to understand the real life scenarios of business. Some of the companies which come for hiring are:

Wipro

Orcale

Abbott

Bank Of America and check the complete report here .

On the other hand, Great lakes, Chennai, is rated the same that is overall it is a 'very good' management college as per Careers360 rating and ranking. It is ranked as AAAA. Some of the companies which come for hiring are:

HCL

TCS

LnT

Wipro

Dell

Deloitte etc.

The average package is noted as 12 lakhs per year. Highest Domestic CTC offered was INR 34.5 Lakhs per annum by an e-commerce multinational and Highest International CTC offered was INR 67 Lakhs per annum by an FMCG company.

You can check the complete placement details here .

So the ranking is almost the same but in terms of placements greak lakes seems to be a step ahead.

Rest it also depends on your calibre, experience and skills.

Good Luck.