There are different viewpoints for the same question. It primarily depends upon what is best for you, and whether or not the course you are willing to take interests you. 

One of my friends encountered a similar problem likewise, and addressing the same, here are some points you might want to consider before diving into any conclusion,

1. A dual degree in Mathematics, Physics, and Chemistry is claimed as a part of Science, while others are considered in the case of Engineering. You will learn the theories of science instead of the application of technology.
2. In Mathematics, you are supposed to learn the series of higher-order and their respective application. While, in Mechanical Engineering, you will learn more deeply about Engines, Boilers, Automobiles, Refrigerator Systems, and much more.
3. A single degree, like Mechanical Engineering, CSE, EE, Civil Engineering, or Chemical Engineering, can be more advantageous than dual degrees. 
4. If you opt for a dual degree in Mathematics, you have a higher probability of becoming a mathematician or a professor. But, in case you pursue Mechanical Engineering from NIT Surat, then you bear higher chances of securing a placement offer at top-tier MNCs.
5. Your choice should always remain ahead of most others. The one piece of advice is that in NIT Surat, you supposedly cannot change your degree from M.Sc to B.Tech following the 1st year and vice versa. 

You should research the same for BITS Goa and find whether or not the rule is similarly applicable in the institute. This is the basic difference you can find between both institutes. 

Dharmsinh Desai University is ranked 193rd in India by NIRF’20. Sardar Vallabhbhai Patel National Institute of Technology is ranked 54th for engineering by the NIRF’20. What comes as a bonus is students graduating from SVNIT get a tag of NIT.

Both colleges offer UG and PG courses. The total seats at SVNIT are around 1200, and DDU is around 4300.

Admission Details:

DDU:

• For admission in BTech and MTech, students need to sit for the GUJCET, JEE Mains, and GATE exam for MTech.

• Students need to qualify for their 12th with at least a 50% aggregate.

SVNIT:

• Candidates need to qualify for the JEE Main examination to be eligible for a seat here.

• Students need a 75% aggregate in their 12th examination.

• For MTech, candidates need to qualify for the GATE examination and need a 6.5 CGPA or 60% in their graduation.

Placement Details:

DDU:

• Although the placement rate varies with the branch, the average placement percentage ranges between 85-90%.

• The highest salary package can range anywhere from 10 LPA – 18 LPA.

• The lowest salary package offered is around 3 LPA.

• Companies like Infosys, Crest Data Systems, TCS, Kotak, Apollo, Nirma, Reliance, Deepak Nitrite, SR, and Amazon come for recruitment.

SVNIT:

• The total number of students placed in UG and PG are more than 500 and more than 100, respectively.

• The highest package offered in UG is 39.5 LPA, and the lowest is 3.6 LPA.

• Companies that come for recruitment are L&T, Suzuki Motors, Honda, TATA Motors, John Deere, Pidilite, Siemens, MuSigma, EXL, MasterCard, Airtel, Reliance, ABB, and MG.

Infrastructure and Facilities:

DDU:

The university provides all the basic facilities needed by students.

• The library is regularly updated with the newest edition of books, magazines, journals, and online resources.

• The university provides accommodation to both girls and boys.

• There are also other facilities like a gym, convenience stores, medical facilities, and shuttle services. Additionally, there are also several sports grounds including a swimming pool.

SVNIT:

• SNVIT’s library is 35 years old and has a large collection of books, and the college also has a central computer center.

• SVNIT also fulfills all the basic requirements of the students. There are a dispensary and two ATMs on campus. There is a post office right outside the college campus.

• The college also provides accommodation, a gym, and sports facilities.

Both the colleges have been established in the last 1900s and have a lot of experience when it comes to correctly guiding their students and placement. What comes as a bonus is students graduating from SVNIT get a tag of NIT. There are also numerous clubs in SVNIT, but other than that, both the colleges are almost similar.

BITS Hyderabad, a private renowned technical and science institutes of higher learning in India, after the IITs and NITs. One of the 4 campuses of the BITS Pilani university, it offers BE and ME courses for CSE.

IIT Tirupati is an autonomous engineering and technology education institute and it was ranked 25 for Engineering by JEE cutoff 2019. Admission to the B. Tech CSE program is through the Joint entrance exam (IIT-JEE-Advanced).

Sardar Vallabhbhai National Institute of Technology (SVNIT) at the present ranked 58th amongst top engineering colleges in India by NIRF rankings 2019 and offers BTech and MTech courses for CSE.

The admission details for the UG CSE program at the tree institute are as follows.

Placements:

BITS Hyderabad:

• The Institute possesses a 100% placement record with 375 companies visiting the campus in the previous year. Over 400 students got placed successfully.

• Top companies that visited the campus were TCS, Dell, Facebook, Amazon, Microsoft, etc.

IIT Tirupati:

• As of the 2020 stats, 70 out of the 91 registered students are placed in reputed companies with an average package of 9.18 LPA.

• Top recruiters were AECOM, Afcons, Ashok Leyland, Cushman and Wakefield, JSW, Genpact, TCS, etc.

SVNIT, Surat:

• Some of the highest recruiters are HSBC, Microsoft, Bharat Petroleum, Vedanta, Tata, Samsung, JP Morgan, Kohler, Saint-Gobain, Bajaj, etc.

• As of the 2019 stats, out of 739 students, 503 students got successfully placed with a median salary of 6,67,000 INR.

The details stated above about the three different colleges about the CSE department might help the students to choose the best among all considering the eligibility, fee structure, etc.

Nirma University is UGC recognized and is accredited by the National Assessment and Accreditation Council. NIT Surat, formerly known as the Sardar Vallabhbhai National Institute of Technology (SVNIT), is one of the thirty NITs recognized by the Indian government. The institute is home to the World Bank's 'Center of Excellence,' which studies flood control and water supplies. Nirma University is ranked 136th and SVNIT is ranked 54th by NIRF 2020 in Engineering.

Admission:

Nirma University-

• Admission to B.Tech programs is through JEE mains or GUJCET and ACPC, Gujrat. While for B. Arch programs, students need a NATA score.

• Admission to M.tech programs is through the GATE score.

• For MBA programs at NIRMA University, students require a valid CAT score.

• Admission to doctoral programs is done through scores obtained in national entrance tests such as GATE/NET/JRF and SET.

NIT Surat- It currently offers 6 undergraduate and 18 graduate programs and 3 integrated five-year degree courses for MSc along with doctoral programs.

• Admission to BTech courses is through JEE Mains or JEE Advanced.

• MTech admission is done through GATE.

• For Ph.D. students, UGC- NET/JRF/GATE scores are considered.

Alumni:

• Notable alumni of Nirma University include Jay Shah- Indian Businessman and Cricket Administrator, Minal Rohit who is a Scientist at ISRO and helped send the Mangalyaan probe to Mars, and Boni Satani who is Head of Marketing at Zestard Technologies.

• Notable alumni of SVNIT Jalaj Srivastava- Chief Financial Officer of Finolution Inc.

Facilities:

• The library at NIRMA University has over 55,000 books, 4409 bound volumes, 243 current journals, magazine and newspaper subscriptions, 2020 standards, and 700 ASCE, IEEE / IET, ACM, etc. e-journals.

• The Library of SVNIT is 49 years old and accommodates the needs of large groups of users including more than 2000 students, 200 faculty, 150 research scholars. It uses state-of-the-art technology and has been subscribed to access INDEST by MHRD.

Placement:

Cognizant, iFlex, Syntel, Cypress Semiconductor, Juniper, ARM, Deutsche Bank, Amazon, Tata Motors, etc. are the top recruiters at these institutes.

Both departments are top notch and of high repute. It lies in the interest of the beholder to discriminate the two, keeping their choice of interest into consideration.

Pandit Deendayal Petroleum University (PDPU) is a private university based in Gandhi Nagar, Gujarat, India, and is approved by AICTE and UGC. The university also has NAAC accreditation with an ‘A’ Grade. It is also recognized by the Scientific and Industrial Research Organization by the Gov. Of India.

Sardar Vallabhbhai National Institute of Technology (SVNIT) is presently ranked 58th amongst top engineering colleges in India as per the NIRF rankings 2019 and offers BTech and MTech, M.Sc, etc courses for all departments.

Admission:

PDPU:

• For admission in BTech, one must have passed 10+2 with PCM/B from a recognized board. Candidates applying must appear in the JEE entrance exam to be eligible.

• For M. Tech, candidates applying must score at least 60% in Bachelor degree from any stream of Science and Tech. GATE exams are considered for admission.

• For MBA, candidates applying must score at least 50% in Bachelor degree from any stream, whereas the CAT/XAT exams must be qualified to be considered for admission.

SVNIT:

• For admission in B. Tech, one must have passed 10+2 with 75% and above with PCM/B from a recognized board. Candidates applying must qualify for the JEE entrance exam to be eligible.

• For M. Tech, candidates applying must be a graduate from any stream of Science, and Technology with a qualified GATE score.

• For B. Sc + M. Sc, candidates must have qualified 10+2 from a recognized board.

Fee Structure:

The fee structure for the popular courses at the institutes are as follows.

Placement Records:

PDPU:

• As of the 2019-20 stats, the PDPU placement holds a superb placement record 87% for its students hired in reputed companies.

• Top reputed companies like Asian Paints, Capital First, ICICI, Himalaya, Adani, Torrent Power, Avenir, etc. generally Management and L&T, GAIL, Adani Ports, Reliance, KPMG, Accenture, Infosys, Protiviti in E&I Management visited the campus.

• The highest package offered was INR. 19.20 LPA by ONGC was offered to 11 BTech students.

• For MBA the highest CTC offered was 14 LPA and the average CTC was 7 LPA.

SVNIT:

• Microsoft, Vedanta, Samsung, Bajaj, Tata, Kohler, HSBC, Bharat Petroleum, Saint Gobain are some of the major recruiters at the institute.

• According to the stats of 2019 pavement, 503 students got placed with an average salary of 6.67 lakhs.

The details discussed above will assist you to distinguish between the two mentioned college.

Lalbhai Dalpatbhai College of Engineering (L.D.C.E) and SVNIT are both reputed engineering colleges in India. LD College of Engineering is affiliated with Gujarat Technological University (GTU) and is also overlooked by the Department of Technical Education, Govt. of Gujarat. Sardar Vallabhai National Institute of Technology is ranked number 1 for BTech in Gujarat.

Given below are a few important information about the two institutes.

Academics:

LD College of Engineering:

There are 18 Academic Schools in the institution. Apart from Bachelor in Engineering and PG courses, part-time degrees are also available in the university.

SVNIT:

The institute offers many courses in UG and PG levels in different disciplines, i.e. Applied Chemistry, Applied Math. & Human, Applied Physics, Chemical Engineering, Civil Engineering, Computer Engineering, Electrical Engineering, Electronics Engineering, Mechanical Engineering.

Facilities:

LD College of Engineering:

• The LDCE library has 90520 books, 33726 titles, CDs/DVDs, 53 print journals, and 1326 e-books.

• Industrial visits to Adani Foundation and Plasma Research happen quite frequently for the students.

• MoUs with several governmental organizations and laboratories have been signed to help students gain practical knowledge.

SVNIT:

• The Central Library of the university has around 70,000 books, 7,025 journals, 295 dissertations.

• National Fellowship for Scheduled Tribe is a scholarship granted by the MRHD for SVNIT students.

Placements:

LD College of Engineering:

• Over 2244 students have been successfully employed in the last four years. In 2019, 565 students received placements offers from the 111 recruiters on campus.

• HSBC, Accenture, Matrix, Nirma, Reliance, Tata, Wipro, Godrej, Byjus, Adani, Samsung, Daikin, Deloitte, Suzuki, Amul, etc are some profound recruiters of this institute.

• The highest salary package of the college is approximately INR 12 LPA.

SVNIT:

• Microsoft, Samsung, JP Morgan, Kohler, NBC Bearings, etc are some of the profound recruiters of SVNIT graduates.

• In 2019, out of 739 students of the B.Tech course, 503 were successfully placed.

• The highest salary package in 2019 was around INR 37.5 LPA by a CSE graduate

• The average salary package of the university is INR 4.7 LPA.

It is essential that the student makes their academic choices keeping in mind the college, faculty, department, placement prospects, and campus facilities.

SVNIT and IIITDM are well-known institutes in India. Both institutes have been ranked by NIRF 2019 Rankings. SVNIT was ranked at58 while IIITDM Jabalpurat 75 among top colleges in India. Listed below are some factors to analyze both institutes:

Admission:

SVNIT Surat

• To be eligible for admissions at SVNIT for B.Tech Electrical Engineering, the applicant must be passed 10+2 with PCM compulsory subjects and aggregate of minimum 50%. The candidate should be JEE Main qualified.
• For M.Tech Electrical Engineering, the candidate needs to be GATE qualified and have a B.Tech/ B.E degree with a minimum of 60% for the general category and 55% for the reserved category.

IIITDM Jabalpur

• For B.Tech CS admissions at IIITDM Jabalpur, the selection criteria are based on JEE Mains and the candidate should be passed with minimum 50% marks with physics and chemistry as compulsory subjects.
• For M.Tech, the selection criteria are the GATE score and the candidate must have a B.Tech degree with a minimum of 55% marks.

Tabulated below is a brief fact about the institutes:

Placements:

SVNIT Surat

• For placement in electrical engineering, a wide range of companies ranging from multinational companies, national giants, and non-core companies visit SVNIT.
• Emerson, Ericsson, Schneider Electric, Phillips, TATA Power, Godrej, Reliance Jio, and Infosys are some of the giant recruiters at the institute.
• For the academic year 2017-18, overall, 503 undergraduate students were placed with a median salary ofINR 667000, whereas 109 postgraduate students were placed with a median salary of INR 534000.

IIITDM Jabalpur

• The students graduating from 2020 batch has already received around 177 job offers which include 149 full-time offer and 28 pre-placement offers. 3 students from the CS department took the highest pay package of INR23 lakhs and 15 other students received offers close to paying packages of INR15-14 lakhs.
• Reliance Jio, Amazon, Microsoft, Yantriks, LensBricks, Samsung R&D, and 1mg is the giant corporate recruiters of the institute.

In SVNIT for electrical placements are few (40%), also the companies which visit for electrical students are primarily for the IT department, and they offer the lowest packages. Whereas placement records at IIITDM Jabalpur are wonderful, more than 95 percent of the students in the computer science got placed with good salary packages.

SVNIT ranks 58th among the Engineering category in NIRF 2019 Rankings. SVNITs course fees are lesser than that of IIT Bhubaneswar. B.Tech in SVNIT is 1.2 lakhs a year whereas IIT Bhubaneswar charges 1.98 lakhs a year. 

SVNIT has a dedicated placement cell which shows excellent placement records. In the year 2017-18, 503 students were placed out of 739 from UG courses. In Postgraduate courses, 109 students were placed out of 227 students. An average salary package of 6 lakhs per annum and 5 lakhs per annum respectively were provided by reputed companies like HSBC, Microsoft, Bharat Petroleum, Vedanta, Tata, Samsung, etc.

IIT Bhubaneswar in the year 2018-19 has seen 89% of students placed in companies like Amazon, HP, Indian Oil, Jio, Adobe, Renault, Accenture, etc. The average salary package was 11 lakhs per annum. IIT Bhubaneswar also has collaborations with foreign universities like the University of Warwick, University of Southampton, University of Massachusetts Dartmouth, University of Western Ontario, University of New York, and McGill University.

In keeping all points in mind, IIT Bhubaneswar might be a better option for studying.