NDA 2 Maths Answer Key 2026 Exam (Sep 13): Download Solution PDF

The Union Public Service Commission (UPSC) conducted the National Defence Academy and Naval Academy Examination-II 2026 on Sunday, 13 September 2026, and lakhs of defence aspirants across India have now completed the Mathematics paper the first and often most decisive written test of the day. For candidates from Sikar, Jaipur, Jodhpur, and other parts of Rajasthan who appeared at centres statewide, the immediate priority is clear: verify responses against the NDA 2 Maths question paper 2026, access set-wise answer keys, and estimate a provisional score before the General Ability Test (GAT) shift begins.

This guide from Sikar Study Point explains everything you need after the exam how to identify your question booklet set (A, B, C, or D), where to find unofficial solutions with worked steps, how UPSC's official answer key timeline differs, and how to calculate marks using the standard negative-marking formula. Whether you are a first-time NDA candidate or a repeater comparing performance with NDA 1 2026, use this page as your single reference for the Maths paper analysis, cutoff expectations, and next steps in the selection process.

NDA 2 2026 Mathematics Exam at a Glance

Before diving into answer keys and PDF downloads, it helps to recall the official structure of the written examination. UPSC notified 394 vacancies for NDA-II 2026, covering Army, Navy, and Air Force wings of the National Defence Academy along with the Naval Academy (10+2 Cadet Entry Scheme). The written stage carries 900 marks split across two objective papers conducted in pen-and-paper (OMR) mode.

Candidates who downloaded their hall tickets through our earlier coverage of the NDA 2 admit card 2026 release would have noticed instructions to carry the e-admit card, a valid photo ID, and black ballpoint pens. The Mathematics paper is generally considered the scoring differentiator because strong performers can build a cushion before GAT, while weak Maths scores make clearing the aggregate cutoff significantly harder.

NDA 2 Maths Question Paper 2026: Set-wise Overview

UPSC distributes four parallel versions of each paper Sets A, B, C, and D to prevent copying across adjacent candidates. Questions remain largely the same in concept and difficulty, but question numbers and option order differ between sets. This is the most common mistake students make when checking unofficial keys: they open Set A solutions while holding Set C in hand.

How to Identify Your Question Booklet Set

Your set code is printed on the front cover of the question booklet and on the OMR answer sheet. Look for a bold letter A, B, C, or D usually near the barcode or booklet serial number. Match this letter exactly when downloading the question paper PDF or answer key. Coaching platforms typically publish separate documents for each set within hours of the exam concluding at 12:30 PM.

Subject Areas Covered in NDA 2 Maths 2026

The Mathematics syllabus follows the standard NDA framework aligned with Class 11 and Class 12 NCERT-level topics. Based on the official UPSC notification and post-exam analysis from defence Coaching faculty, the paper typically distributes questions across these units:

• Algebra: Sets, relations, complex numbers, AP/GP/HP, permutations and combinations, binomial theorem, logarithms

• Matrices and Determinants: Operations, inverse, Cramer's rule, system of linear equations

• Trigonometry: Identities, inverse functions, heights and distances, properties of triangles

• Analytical Geometry: Lines, circles, conics, 3D geometry basics

• Differential Calculus: Limits, continuity, differentiation, maxima and minima, rate of change

• Integral Calculus: Standard integrals, area under curves, basic differential equations

• Vector Algebra: Dot and cross products, scalar triple product applications

• Statistics and Probability: Mean, median, mode, variance, conditional probability, binomial distribution

Historically, Algebra and Trigonometry together account for a substantial share of the 120 questions, while Calculus and Coordinate Geometry form the next major block. Statistics and Probability usually appear as a smaller but scoring segment for candidates who have practised NCERT Exemplar-level problems.

NDA 2 Maths Answer Key 2026: Official vs Unofficial Sources

Answer keys fall into two categories, and understanding the difference protects you from confusion during result season.

Unofficial Answer Keys (Same Day Release)

Leading defence Coaching institutes including Major Kalshi Classes, NCA Academy, and others publish unofficial NDA 2 Maths answer keys on the exam day itself, typically between 1:00 PM and 6:00 PM on 13 September 2026. These keys are prepared by subject experts who solve the paper from memory or from candidate-shared photographs. They often include:

• Set-wise PDF answer keys (A, B, C, D)

• Question paper PDFs reconstructed from student inputs

• Worked solutions for tricky questions in trigonometry, calculus, and probability

• Live video analysis sessions discussing difficulty level and expected cutoff

Unofficial keys are useful for immediate score estimation but may contain errors on 3–5 questions, especially in lengthy calculation-based problems. Always cross-check disputed answers across two independent sources before treating any response as final.

Official UPSC Answer Key (Delayed Release)

UPSC releases the official NDA answer key on upsc.gov.in only after the entire examination cycle for that session concludes typically weeks or months after the written test, and well after the written result declaration. Separately, UPSC provides a short five-day representation window for candidates to challenge questions or provisional keys through the portal at upsconline.nic.in, starting from the third day after the exam and closing at 6:00 PM on the seventh day. Representations submitted outside this window are not accepted.

For practical purposes on exam day, rely on unofficial keys for self-assessment and note any questions you wish to challenge once the official representation portal opens.

How to Download NDA 2 Maths Question Paper and Solution PDF

Follow this step-by-step process to access the correct set-wise materials without wasting time on mismatched documents.

1. Confirm your set code from your question booklet cover or OMR sheet (A, B, C, or D).

2. Visit a trusted coaching portal or education news site that publishes NDA answer keys avoid random Telegram channels with unverified uploads.

3. Select Mathematics (Paper I) and choose your exact set letter.

4. Download the question paper PDF first, then the corresponding answer key or solution PDF.

5. Compare question by question, marking correct, wrong, and unattempted responses on a score sheet.

6. Apply the marking formula (explained below) to compute your raw Maths score out of 300.

7. Save screenshots or PDFs of disputed questions for the UPSC representation window if needed.

Many coaching websites require a free registration or email submission before downloading. This is standard practice and helps them share cutoff analysis updates. Do not pay for answer keys legitimate unofficial keys are freely available on exam day.

NDA 2 Maths Answer Key 2026 - Download Link 

How to Calculate Your NDA 2 Maths Score

The NDA Mathematics marking scheme is straightforward once you count three numbers: correct answers, wrong answers, and unattempted questions (unattempted carry zero no penalty).

Formula: Maths Score = (Correct × 2.5) − (Wrong × 0.83)

Example: Suppose you attempted 110 out of 120 questions, got 78 correct and 32 wrong, leaving 10 unattempted.

• Marks from correct answers: 78 × 2.5 = 195.0

• Negative marks: 32 × 0.83 = 26.56

• Estimated score: 195.0 − 26.56 = 168.44 out of 300

Because each wrong answer costs 0.83 marks, blind guessing hurts significantly. A useful rule of thumb: only mark an option when you can eliminate at least two choices. Candidates who attempted all 120 without accuracy often score lower than those who left 15–20 questions blank but maintained high precision on attempted ones.

Sectional Cutoff Requirement

UPSC applies a minimum 25% sectional cutoff in each paper. For Mathematics, that translates to roughly 75 marks out of 300. Even if your GAT score is strong, failing to reach the Maths sectional threshold disqualifies you from the written stage shortlist regardless of aggregate marks. Use your provisional Maths score to check whether you have cleared this floor before celebrating a strong GAT performance.

Expected Difficulty Level: NDA 2 Maths 2026 Analysis

Based on initial feedback from candidates exiting centres in Sikar, Jaipur, and Delhi on 13 September 2026, the overall difficulty of the Mathematics paper appeared moderate to moderately difficult broadly comparable to recent NDA-II sessions rather than unusually easy or harsh.

Topic-wise Difficulty Snapshot

Time management remained the biggest challenge. With 120 questions in 150 minutes, candidates had roughly 75 seconds per question. Students who spent four to five minutes on a single calculus problem often rushed through the final 20 questions, increasing error rates. This pattern repeats every NDA cycle and underscores why timed mock tests are essential during preparation.

Expected Cutoff for NDA 2 2026 Mathematics and Overall Written Exam

Cutoffs vary by exam session, paper difficulty, number of vacancies, and candidate pool quality. Final cutoffs are released only with the official result, but coaching institutes publish expected cutoff ranges based on same-day analysis.

Remember that clearing the written cutoff is only the first gate. Candidates who qualify proceed to the SSB Interview, which carries 900 marks and tests personality, leadership, and officer-like qualities over a five-day assessment at selection boards in Allahabad, Bhopal, Bengaluru, or Kolkata.

What Happens After the NDA 2 Written Exam?

Understanding the full pipeline helps you plan the weeks ahead instead of waiting anxiously without clarity.

1. Same Day (13 Sep 2026): GAT paper in the afternoon; unofficial answer keys for both papers published by evening.

2. Days 3–7 After Exam: UPSC representation window for question paper objections via upsconline.nic.in.

3. Within 2–3 Months (Expected): Written result declaration listing roll numbers shortlisted for SSB.

4. After Written Result: SSB interview call letters with allotted centre and date.

5. SSB Stage: Five-day interview including psychology tests, group tasks, and personal interview.

6. Medical Examination: Conducted at military hospitals for SSB-recommended candidates.

7. Final Merit List: Combined written + SSB marks; selected candidates join NDA/NA training.

Candidates who estimate a borderline score should begin light SSB preparation immediately physical fitness, current affairs reading, and communication practice rather than waiting for the official result. SSB slots fill on tight schedules, and early preparation improves performance measurably.

NDA Preparation in Sikar and Rajasthan: Where Serious Aspirants Train

Rajasthan has a deep tradition of defence services aspiration, and Sikar already renowned as a hub for JEE and NEET coaching is increasingly recognised for structured NDA preparation as well. Students from Class 10 onward often combine strong school academics with dedicated defence coaching to build Mathematics and GAT fundamentals early.

Parents evaluating options can consult our detailed guides on best NDA coaching in Sikar 2026 and top NDA coaching in Sikar based on total selection record. For a broader state-level comparison, see Rajasthan's best NDA coaching institutes 2026 and the top 10 NDA coaching institutes in Rajasthan 2026 roundup.

Quality NDA coaching in Sikar typically includes daily Mathematics drills aligned with the NDA syllabus, English and General Knowledge modules for GAT, weekly mock tests in OMR format, and SSB orientation sessions covering picture perception, group discussions, and interview etiquette. Institutes with defence-experienced faculty and published selection track records deserve priority over generic tuition centres that simply repackage school-level teaching.

Younger students still in school should not neglect board exam performance. A strong foundation in Class 11–12 Mathematics whether through CBSE schools in Sikar or RBSE institutions listed in our schools in Sikar 2026 guide directly reduces NDA preparation time later. For a wider look at coaching options beyond NDA alone, the top coaching centers in Sikar 2026 directory covers JEE, NEET, and defence tracks together.

Actionable Tips for Candidates Checking Answer Keys Today

• Match your set first: Never assume Set A because a friend shared that PDF verify your booklet code.

• Cross-verify disputed answers: Check at least two coaching sources for questions where you scored negative marks.

• Record your estimated score immediately: Write correct, wrong, and unattempted counts before forgetting details.

• Do not panic over 5–10 marks of uncertainty: Unofficial keys routinely revise 2–3 answers within 24 hours.

• Prepare for GAT if still pending: If you are reading this before the afternoon shift, stay calm and focus on English, GK, and current affairs revision.

• File representations promptly: Mark the UPSC objection window dates (days 3–7) in your calendar if you spotted ambiguous questions.

• Begin SSB groundwork: Start daily running, push-ups, and newspaper reading regardless of your estimated score discipline now pays off at the interview stage.

Important Dates: NDA 2 2026 Timeline

Conclusion

The NDA 2 Maths question paper 2026 marked a critical milestone for nearly four lakh aspirants targeting 394 defence academy vacancies. With the exam held on 13 September 2026 from 10:00 AM to 12:30 PM, candidates can now download set-wise question papers and unofficial answer keys for Sets A, B, C, and D, calculate provisional scores using the +2.5/−0.83 marking scheme, and assess performance against the expected 25% sectional cutoff of roughly 75 marks.

Treat unofficial answer keys as reliable planning tools rather than final verdicts cross-check answers, note objections for UPSC's five-day representation window, and shift focus to GAT preparation or SSB groundwork depending on where you stand. For Rajasthan students, especially those training in Sikar's growing defence coaching ecosystem, consistent mock-test practice and accurate post-exam analysis remain the habits that separate successful NDA selections from near-misses. Bookmark this page for cutoff updates once coaching institutes publish consolidated written-stage estimates, and monitor upsc.gov.in for the official written result in the coming weeks.