Science

Hi,
No, they are not the same. GATE (Graduate Aptitude Test in Engineering) is an all-India entrance exam that allows candidates to apply for IITs, NITs, IISc, and some other applied science institutes/universities. GATE exam can be given only by those candidates who have applied science degrees like B.E and B.Tech, to M.Tech and M.Sc by research integrated Ph.D. and direct Ph.D. program. IIT JAM (Joint Entrance Test for M.Sc) is an all-India entrance exam that allows candidates to apply for IITs, IISERs, IISc, and NITs. Check details about IIT JAM Exam here: https://goo.gl/fNdqWo IIT JAM Exam M.Sc (Four Semesters), Combined M.Sc. PH.D. MSc, M.Tech, MSc Ph.D. Dual Degree, and other courses. The IIT JAM syllabus mainly consists of subjects that the candidates usually study in their undergraduate degree programs. The syllabus of GATE has slightly advanced topics in the syllabus. The GATE syllabus(https://scoop.eduncle.com/gate-syllabus) includes parts of the JAM syllabus apart from some additional advanced topics.
Best wishes.

IIT JAM Mathematical Statistic
Topics to prepare for the IIT JAM MATHEMATICAL Statistics exam
*MATHEMATICS*
1. Sequence and series
2. Differential Calculus
3. Internal Calculus
4. Matrix
5. Differential Equations
*STATISTIC*
1. Probability
2. Random Variable
3. Standard Distribution
4. Joint Distribution
5. Sampling Distribution
6. Limit Theorems
7. Estimation
8. Testing of Hypotheses
Mathematical Statistics test paper comprises mathematics (40% of weightage) and Statistics (60% of weightage)
I hope now it will be clear to you where to focus more. After preparing these topics, if you want to boost your preparation with some best study material, which includes a complete syllabus, preparations notes, previous year questions, and so on. BEST books for the preparation of IIT JAM MATHEMATICS exam 2021
The below-mentioned table states the topic-wise books for the IIT JAM mathematics exam:
Mathematics
Sequences and Series: N. N Bhattacharya's book (I am sure ECC students are quite aware of it). Differential Calculus: Read the differential calculus book of Goarakh Prasad
Integral Calculus: Again Gorakh Prasads book
Matrices: Schaum series, N. N Bhattacharya's Book
Differential Equations: Gorakh Prasads Book
Statistics
In statistics, these are the topic mentioned in the syllabus:-
Probability: Introduction to probability theory, by Hotel, Port, and Stone. Random Variables: Introduction to probability theory, by Hotel, Port, and Stone
Standard Distributions: Introduction to probability theory, by Hotel, Port, and Stone. Sampling distributions: Introduction to probability theory, by Hotel, Port, and Stone. Limit Theorems:- Introduction to probability theory, by Hotel, Port, and Stone. Testing of Hypotheses: Casella Berger's Statistical inference. IMPORTANT TOPICS - Although every topic is important, focus more on Distribution Theory, Bayes theorem, Maximum Likelihood Estimator, Unbiasedness, Consistency, etc.
To know more information https://www.quora.com/How-do-I-prepare-for-IIT-JAM-mathematical-statistics

Hi Ritik, Greetings!
Surely! A student can apply for the programme for B. Des in Fashion, interior, product design, and more, Students coming from any 10+2 or graduation discipline from a recognised university, or board with a minimum aggregate of 50%, can appear for any entrance or admission process or any design course. You can also have a look at IILM University, Gurugram. You can appear for IILM University Gurugram's Design Aptitude Test with the Interview Process for applying. They offer B. Des degree programs with various specializations like Fashion, Interior, Interaction, and Product Design of 4-years with an added advantage of Liberal Education in their curriculum with good and advanced pedagogy in teaching. The School of Design & Fashion at IILM University, Gurugram offers a choice of career by combining a major and minor degree within design fields or other mainstream courses like a combination of major in Fashion and minor in Graphic Design or major in Interaction and minor in Business. You can visit their website to apply for the programme or to enquire more. All the best for your bright future.