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GATE 2013 Question Paper - Mathematics & Answer Key

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Download the GATE 2013 Question Paper for Mathematics along with the Answer Key to enable better practice and preparation for your GATE exam.
GATE 2025 Syllabus
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Application Date:14 October,2024 - 15 March,2025
Application Date:28 November,2024 - 10 March,2025
Admit Card Date:07 January,2025 - 16 February,2025
Application Date:24 January,2025 - 21 February,2025
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QnA related to GATE

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With 101 marks in NEET and being in the SC category, you have a possibility of getting admission to BHMS, though the exact outcome depends on the cutoffs for the specific year and college. You may need to check the category-wise cutoff for accurate information.


If you have filled out the GATE 2025 form under the EWS category and qualify for the exam, but your score doesn't meet the General category cutoff, you generally do not need to submit the EWS certificate to get the stipend, as long as you meet the eligibility criteria for the stipend based on your qualification.


Your eligibility for the stipend may still depend on your qualification and performance in the exam. In some cases, if you're qualifying in the exam, you may still be eligible for the stipend, even if you don't meet the General category cutoff.


For reservation benefits (such as admission through GATE in the EWS category), you will need to submit your EWS certificate. However, if you're not seeking admission through GATE (since you're already pursuing a dual degree) and your primary concern is the stipend, you may not need to submit the EWS certificate, unless specified

Hello Anushka,

The eligibility criteria for M.Tech in Computer Science Engineering (CSE) at UIT RGPV Bhopal are as follows:

1. Educational Qualifications :

  • Bachelor’s degree (B.Tech/B.E.) in Computer Science Engineering (CSE) or any relevant branch of engineering with a minimum of 50% aggregate marks (45% for SC/ST/OBC candidates).

  • Candidates should have completed the undergraduate program from a recognized university .

    2. Admission Process :

Admission to M.Tech CSE at UIT RGPV Bhopal is primarily through two channels:

  • GATE Score :

    • Candidates must have a valid GATE (Graduate Aptitude Test in Engineering) score. GATE is the most preferred method for admission.

    • The valid GATE score will depend on the year’s cutoff and the branch-specific requirements.

  • CUET PG Score :

    • CUET PG (Central Universities Entrance Test for Postgraduate courses) is another way to apply if the university considers it for the course.

    • Admission based on CUET PG score may depend on the university’s preferences and specific program requirements. Check the university’s official website or brochure for updates.

      3. Cutoff Marks :

  • GATE Cutoff :

    • The cutoff marks vary every year based on factors like the number of applicants, difficulty level of the exam, and available seats.

    • Generally, for a general category , the cutoff for CSE is around 600-700 marks , but it may fluctuate depending on the year and competition.

  • CUET PG Cutoff :

    • If CUET PG is used for admission, the cutoff score for CSE will be released by the university based on the exam’s difficulty and the number of applicants.

      4. Other Requirements :

  • Some additional documents or an interview may be required depending on the university's rules.

Note : It is always advisable to visit the official UIT RGPV Bhopal website for the latest and most accurate details regarding eligibility, admission, and cutoff requirements.


I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.

Thank you and wishing you all the best for your bright future.


You can access free e-books for GATE preparation on platforms like the National Digital Library of India (NDLI), OpenStax, or websites offering free educational resources like Examrace or Gateforum. Check NPTEL for study material and video lectures.

Hello aspirant,

Electronics and Communication Engineering is an engineering subject that designs, develops, and tests electronic circuits and communication equipment. GATE ECE graduates work in many areas, such as telecommunications, aerospace, and automotive. They study digital and analog signal transmission and reception, microprocessors, communication tools, etc. while pursuing their M. Tech degree in electronics and communication engineering. ECE engineers can work as RF engineers, quality assurance engineers, communication engineers, and more.

To know the complete syllabus of GATE Electronics and Communication Engineering, you can visit our site through following link:

https://engineering.careers360.com/articles/gate-syllabus-2026

Thank you

For the Computer Science & Engineering (CSE) discipline, DRDO requires candidates to have at least a First Class Bachelor's Degree in Engineering or Technology specifically in Computer Science & Engineering or equivalent fields.

Your Bachelor of Technology (B.Tech.) degree is in Civil Engineering, it does not align with the required educational qualifications for the Computer Science & Engineering discipline as stipulated by DRDO. Therefore, even with a valid GATE score in Computer Science, you would not meet the eligibility criteria for DRDO's Scientist 'B' positions in the CSE discipline.

Your B.Tech. in Civil Engineering makes you eligible for DRDO positions in the Civil Engineering discipline, provided you have a valid GATE score in Civil Engineering.

Unfortunately, since you fall short of a very small percentage, you won't be able to qualify this time. You can consider getting admitted without a scholarship or retake the examination once again and improve your score and then do the MTech program along with a scholarship.

All the best

Hello Greetings

Here are some popular GATE exam books with answers:


GATE Study Materials

1. *GATE Exam Guide* by McGraw Hill Education - This book provides comprehensive coverage of the GATE syllabus, with solved examples and practice questions.

2. *GATE Tutor* by Arihant Publications - This book offers detailed explanations, solved examples, and practice questions for each subject.

3. *GATE Study Material* by Made Easy - This book provides in-depth coverage of the GATE syllabus, with solved examples, practice questions, and previous year's papers.


Subject-Wise Books

1. *GATE Mechanical Engineering* by R.K. Kanodia - This book provides detailed explanations, solved examples, and practice questions for Mechanical Engineering students.

2. *GATE Electrical Engineering* by S. K. Bhattacharya - This book offers comprehensive coverage of the Electrical Engineering syllabus, with solved examples and practice questions.

3. *GATE Computer Science and Information Technology* by Narsingh Deo - This book provides in-depth coverage of the Computer Science and Information Technology syllabus, with solved examples and practice questions.


Online Resources

1. *GATE Overflow*: A popular online platform providing GATE study materials, previous year's papers, and practice questions.

2. *GATE Academy*: Offers online GATE coaching, study materials, and practice questions.

3. *Unacademy*: Provides online GATE coaching, study materials, and practice questions.


Previous Year's Papers

1. *GATE Previous Year's Papers* by IIT Kharagpur - This book provides previous year's papers for GATE, along with solutions.

2. *GATE Previous Year's Solved Papers* by Arihant Publications - This book offers previous year's papers with detailed solutions.


You can find these books on online marketplaces like Amazon, Flipkart, or in local bookstores. Additionally, you can access online resources and previous year's papers on the official GATE website or other online platforms.

Have a great day

Hello Greetings

If there's a discrepancy in your photo ID number, specifically with 2 digits interchanged, you'll need to get it corrected. According to the GATE guidelines, if your application has been marked as "DEFECTIVE" due to incorrect photo ID information, you'll be intimated via email or SMS to rectify the issue ¹.


To resolve this, you can try the following options:


- *Contact the GATE Authorities*: Reach out to the GATE organizing committee or the zonal office for assistance. They may guide you on the necessary steps to correct the error.

- *Rectify the Defect*: If your application is marked as "DEFECTIVE," you'll be given a chance to rectify the error within a specified deadline. Make sure to upload the correct photo ID and update the information accordingly.

- *Check the GATE Website*: Keep an eye on the official GATE website for any updates or instructions on correcting errors in the admit card.


Remember to act promptly, as any delay might affect your ability to appear for the examination.

Have a great day

To study for the GATE PI (Production and Industrial Engineering) exam, you should primarily focus on the official GATE PI syllabus, referring to recommended textbooks refer these books

-Industrial Engineering- M. Mahajan(Dhanpat Rai & Co.), Statistical Quality Control(Dhanpat Rai & Co.)

-Production Engineering- PC Sharma( Production Engineering), PN Rao (Metal cutting & Machine Tools), NPTEL lectures( For Advance Machining Processes), Meteorology (Dhanpat Rai & Co.)

-General Engineering- PK Nag ( Thermodynamics & HMT), S. Ramamrutham, R. Narayanan or Ratan( SOM), VB Bhandari(TOM), Callister (material science)

-Mathematics & Aptitude- Previous year questions are enough for both Mathematics & Aptitude

Also go for previous year question papers, and taking mock tests.

INDIAN OIL , IOCL, ECIL, ONGC, HPCL, BPCL, NPCIL, BAARC, DRDO, etc. do not recruit Production & Industrial Engg. through gate.so you have to go for alternative options.


Like NTPC, BHEL,GAIL,MDL,VIZAG STEEL,SAIL recruit students of PI provided they appear through ME discipline in GATE.

MOREOVER,Check the latest GATE PI syllabus and exam pattern: before starting your preparation.

1.Focus on conceptual understanding: rather than just rote learning.

2.Regularly practice numerical problems: and solve previous year papers.

3.Stay updated on the latest PSU recruitment notifications: and their respective cutoffs.

GOOD LUCK!!!

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