The basic difference between NATA and CEED is they both take admission of different field. NATA is to take admission of those who wants to study Architecture and CEED is for candidates who wants to pursue designing courses.
The conducting body for NATA is council of architecture (CoA) and for CEED, conducting body is Indian Institute of technology (IIT)
NATA, National aptitude test for architecture, is an entrance exam which is conducted by National Institute of advanced studies in architecture (NIASA) the body of council of Architecture in India. This entrance exam is a national level examination. Students who are willing to study Bachelor of architecture or some other relevant architecture courses at all recognized institutions across India, can give NATA after their 12th examination.
NATA measures drawing and observation skills, sense of proportion, aesthetic sensitivity and critical thinking ability.
IIT Bombay conducts CEED national level entrance which stands for common entrance examination for design to take admission to the M. Des and PhD courses offered by IISc Bangalore, IIT Bombay, IIT Delhi, IIT Guwahati, IIT Hyderabad, IIT Kanpur, IIT Roorkee and IIITDM Jabalpur. Also, the PhD course is available at several IITs and design schools.
These are the basic difference between NATA and CEED. But they both are accepted by IITs.
Hope this helps you Chhavi!