With a WBJEE PMR rank of 40,800 and TFW rank of 9,600, you may get TFW quota seats in some mid-level private engineering colleges for branches like Mechanical, Civil, ECE, or even CSE in certain colleges where cutoffs are higher. Good options could be colleges like Techno India Group, RCC Institute of Technology, or Camellia Institute, which usually have TFW seats at higher ranks. Keep an eye on counseling rounds, and apply broadly to maximize chances because competition in TFW quota is tough but flexible at these colleges.

With a WBJEE PMR rank of 40,800 and a TFW (Tuition Fee Waiver) rank of 9,600, you might get some private engineering colleges through TFW quota, but chances at top-tier private colleges might be a bit limited since TFW quotas tend to have more competition.

Generally, private colleges with moderate cutoff ranks accept TFW students in branches like Civil, Mechanical, ECE, and sometimes lower-demand branches in CSE or IT. Colleges like Techno India Group, RCC Institute of Technology, Camellia Institute, and similar mid-level private colleges may have TFW seats available for ranks around your range.

It’s best to participate actively in WBJEE counselling rounds, check college-wise opening and closing ranks in TFW category, and fill your choices wisely for branches and colleges where your rank fits.