Thanks for your support and replies!
-> RichC: Thanks for your reply. Actually, I already know the programs I am going to apply for. I plan to send applications to European business schools, and specifically to Bocconi, IESE, HEC, EM Lyon and ERIM Erasmus University Rotterdam. They offer PhD courses which fit with my research project and ideas: I really would like to get admitted to IESE, EM Lyon or ERIM for that reason. I would like apply for the second 2017 session, which deadline is set on April/May. I will probably have to take the GMAT in 6-7 months. I hope I could reach a 680-720 score by that time.
-> srishtitiwari & Siliviax : Thanks for your support and advices. I sincerely hope you will get the score you want, and I wish you good luck too

!
I also did a new CAT no later than today. I gained 90 points, especially improving my quant score. For that second GMAT Prep test, I scored 550 (Q39, V26). I am a bit disappointed by my verbal score. However I feel really astonished to see a 10 points improvement on the quantitative section. Concerning the verbal section, I did a lot of mistakes in SC (8, I think it is even worse than what I did last time), but also 3 mistakes in CR (I think I improved a bit compared to what I did last time, one year ago) and 4 mistakes in RC. I'll now focus on SC, because it seems I have much to do here ... I finished quant with 7 minutes left, and verbal with 5 minutes left. I should take time to focus on timing.
To sum up :
GMAT PREP CAT 1 (about one year ago) : 460 (Q29, V25)
GMAT PREP CAT 2 (after a long break, and 2 weeks to read the whole set of
MGMAT Quant books +
MGMAT CR book) : 550 (Q39, V26).
Next step :
- Read the whole
MGMAT SC book 2 or 3 times
- Answer many SC questions on the forum
- Continue to build my quant skills, in order to have a Q40+ score for my next CAT.
- Take a new CAT (
MGMAT CAT) in 3 weeks or 1 month.