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100+ Free NDA II Practice Questions

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Key Facts: NDA II Exam

900 marks

Total Written Marks

UPSC NDA Notification

270

Total MCQs (120 Maths + 150 GAT)

UPSC NDA Exam Pattern

5 hours

Total Exam Time (2 papers)

UPSC NDA Exam Pattern

1/3 mark

Negative Marking per Wrong Answer

UPSC NDA Notification

INR 100

Application Fee

UPSC NDA Notification

Twice a year

Exam Frequency (NDA I & II)

UPSC

The UPSC NDA II is a two-paper objective exam worth 900 marks: Mathematics (120 questions, 300 marks) and the General Ability Test (150 questions, 600 marks, split into 200-mark English and 400-mark General Knowledge). Each paper runs 2.5 hours, totalling 5 hours. Negative marking deducts one-third of a question's marks for a wrong answer, and the application fee is INR 100.

Sample NDA II Practice Questions

Try these sample questions to test your NDA II exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1If A = {1, 2, 3} and B = {2, 3, 4}, what is A ∪ B?
A.{2, 3}
B.{1, 2, 3, 4}
C.{1, 4}
D.{1, 2, 2, 3, 3, 4}
Explanation: The union A ∪ B contains every element that appears in A or B (or both), listed once. Combining {1, 2, 3} and {2, 3, 4} gives {1, 2, 3, 4}.
2The value of log₁₀ 1000 is:
A.2
B.3
C.10
D.100
Explanation: log₁₀ 1000 asks 'to what power must 10 be raised to give 1000?' Since 10³ = 1000, the logarithm equals 3.
3If the roots of x² − 5x + 6 = 0 are α and β, what is α + β?
A.−5
B.5
C.6
D.−6
Explanation: For a quadratic ax² + bx + c = 0, the sum of roots equals −b/a. Here −(−5)/1 = 5. (The roots are 2 and 3, which indeed add to 5.)
4What is the value of the determinant |[[2, 3], [1, 4]]|?
A.5
B.8
C.11
D.−5
Explanation: For a 2×2 matrix [[a, b], [c, d]], the determinant is ad − bc. Here (2)(4) − (3)(1) = 8 − 3 = 5.
5The value of sin 30° + cos 60° is:
A.0
B.1
C.1/2
D.√3/2
Explanation: sin 30° = 1/2 and cos 60° = 1/2. Their sum is 1/2 + 1/2 = 1.
6The derivative of x³ with respect to x is:
A.3x²
B.x²
C.3x
D.x⁴/4
Explanation: By the power rule, d/dx(xⁿ) = n·xⁿ⁻¹. For x³, this gives 3·x² = 3x².
7What is ∫ 2x dx?
A.x² + C
B.2 + C
C.x²
D.2x² + C
Explanation: The integral of xⁿ is xⁿ⁺¹/(n+1). For 2x, ∫2x dx = 2·(x²/2) + C = x² + C. The constant of integration C must be included for an indefinite integral.
8If two dice are thrown, what is the probability of getting a sum of 7?
A.1/6
B.1/12
C.5/36
D.7/36
Explanation: There are 36 equally likely outcomes. The pairs summing to 7 are (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) — 6 outcomes. So the probability is 6/36 = 1/6.
9The magnitude of the vector 3î + 4ĵ is:
A.7
B.5
C.12
D.25
Explanation: The magnitude of a vector aî + bĵ is √(a² + b²). Here √(3² + 4²) = √(9 + 16) = √25 = 5.
10The distance between the points (0, 0) and (3, 4) in a plane is:
A.5
B.7
C.4
D.12
Explanation: The distance formula gives √[(x₂−x₁)² + (y₂−y₁)²] = √(3² + 4²) = √25 = 5. This is the classic 3-4-5 right triangle.

About the NDA II Exam

The National Defence Academy and Naval Academy Examination (II) is conducted by the Union Public Service Commission to select candidates for the Army, Navy, and Air Force wings of the National Defence Academy and the Naval Academy (10+2 Cadet Entry Scheme). It consists of two objective Multiple Choice Question papers held on the same day: Mathematics (Paper I, 120 questions, 300 marks) and the General Ability Test or GAT (Paper II, 150 questions, 600 marks), for a written total of 900 marks. The GAT is split into English (200 marks) and General Knowledge (400 marks, covering Physics, Chemistry, General Science, History, Geography, and Current Events). Both papers carry negative marking — one-third of the marks for a question are deducted for each wrong answer. NDA II is the second of the two annual sittings and is typically held in September.

Questions

270 scored questions

Time Limit

5 hours total (two papers of 2.5 hours each)

Passing Score

Sectional minimum qualifying marks plus an aggregate written cut-off fixed by UPSC each cycle

Exam Fee

INR 100 (SC/ST and sons of JCOs/NCOs/ORs exempt) (Union Public Service Commission (UPSC), conducted at designated centres across India)

NDA II Exam Content Outline

33%

Mathematics (Paper I)

Algebra, matrices and determinants, trigonometry, analytical geometry, differential and integral calculus, vector algebra, and statistics and probability — 120 questions for 300 marks

22%

GAT — English

Grammar, vocabulary, usage, synonyms and antonyms, sentence improvement, and reading comprehension — 50 questions for 200 marks

11%

GK — Physics

Mechanics, heat, light, sound, electricity, magnetism, and measurement — the highest-weighted GK subject (about 25% of the GK part)

9%

GK — History & Freedom Movement

Ancient, medieval, and modern India, the freedom struggle, and the Constitution (about 20% of the GK part)

9%

GK — Geography

Physical and Indian geography, climate, rivers, resources, and the solar system (about 20% of the GK part)

7%

GK — Chemistry

Physical and chemical changes, acids, bases, salts, oxidation-reduction, and basic chemistry (about 15% of the GK part)

5%

GK — General Science

Human physiology, biology, nutrition, and diseases (about 10% of the GK part)

4%

GK — Current Events

National and international current affairs, sports, awards, and defence (about 10% of the GK part)

How to Pass the NDA II Exam

What You Need to Know

  • Passing score: Sectional minimum qualifying marks plus an aggregate written cut-off fixed by UPSC each cycle
  • Exam length: 270 questions
  • Time limit: 5 hours total (two papers of 2.5 hours each)
  • Exam fee: INR 100 (SC/ST and sons of JCOs/NCOs/ORs exempt)

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

NDA II Study Tips from Top Performers

1Master the 10+2 Mathematics syllabus first — Paper I is 300 marks and rewards speed and accuracy across algebra, trigonometry, and calculus.
2Treat negative marking as a strategy problem: skip questions you cannot reason toward, and avoid blind guessing that costs one-third of the marks.
3Within General Knowledge, prioritise Physics and the History/Geography sections, which together carry the largest share of the 400-mark GK part.
4Read an English newspaper daily to build vocabulary, grammar instinct, and current-affairs awareness in one habit.
5Practise on OMR-style answer sheets under timed 2.5-hour conditions so the exam-day mechanics feel routine.
6Maintain a running current-affairs note of the previous six to twelve months, focusing on defence, sports, awards, and major national and international events.
7Start light physical fitness and SSB-interview preparation early, since clearing the written exam is only the first stage of selection.

Frequently Asked Questions

What is the UPSC NDA II examination?

The NDA II is the second annual sitting of the National Defence Academy and Naval Academy Examination, conducted by UPSC to recruit candidates for the Army, Navy, and Air Force wings of the NDA and the Naval Academy. It is an objective MCQ written exam followed by the SSB interview and a medical board.

What is the exam pattern and marking scheme?

There are two papers: Mathematics (120 questions, 300 marks) and the General Ability Test (150 questions, 600 marks), for a written total of 900 marks. Each paper lasts 2.5 hours. There is negative marking — one-third of a question's marks is deducted for each wrong answer.

How is the General Ability Test (GAT) structured?

The 600-mark GAT has two parts: English (200 marks) and General Knowledge (400 marks). The General Knowledge part covers Physics, Chemistry, General Science, History and the freedom movement, Geography, and Current Events.

How much does the NDA II exam cost?

The application fee is INR 100. SC/ST candidates and sons of JCOs, NCOs, and ORs are exempt from the fee. Candidates apply online through the UPSC online application portal.

Who is eligible to apply?

Unmarried candidates who have passed or are appearing in Class 12 (10+2) and fall within the prescribed age window (typically 16.5 to 19.5 years at course commencement) are eligible. The Air Force, Navy, and Naval Academy require Physics and Mathematics in Class 12; the Army wing accepts any stream. Both men and women may apply.

Is there negative marking in the NDA exam?

Yes. One-third of the marks allotted to a question are deducted for each incorrect answer in both papers. In practice this is about -0.83 marks per wrong answer in Mathematics and about -1.33 marks per wrong answer in the GAT.

What happens after the written exam?

Candidates who clear the written cut-off are called for the SSB (Service Selection Board) interview, a roughly five-day assessment of psychological tests, group tasks, and a personal interview. This is followed by a medical examination before the final merit list is prepared.

When is the NDA II exam held?

The NDA examination is conducted twice a year. NDA II is the second sitting and is typically held in September, with the notification released a few months earlier on the UPSC website.