If a Bank as Chattel Mortgagee Fails to Register the Mortgage

If a bank as chattel mortgagee fails to register the mortgage of a car,which of the following is false?

A) The failure to register would not affect the rights of the chattel mortgagee against the chattel mortgagor if no third party is involved.
B) If the chattel mortgagor would sell the car to a third party and not pay the chattel mortgagee, the third party's claim would override that of the chattel mortgagee.
C) If a trustee in bankruptcy seizes the car from the chattel mortgagor, the trustee's claim would override that of the chattel mortgagee.
D) A potential purchaser of the car from the chattel mortgagor would not find the bank's interest recorded in the central registry.
E) The chattel mortgagee has lost his security and thus all his legal rights.