Defence Exams - NDA Mathematics (Paper 1) Previous Year Questions (PYQ)

Q1.

[UPSC NDA Mathematics Paper 1 - Applied Advanced Mathematics & Analysis (Question #32)]
Evaluate the exact trigonometric expression:
$$\sin^2(45^\circ) + \cos^2(45^\circ) + \tan(45^\circ) + 1$$

(A)

{'key': 'A', 'text': '3'}

(B)

{'key': 'B', 'text': '4'}

(C)

{'key': 'C', 'text': '2'}

(D)

{'key': 'D', 'text': '5'}

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Q2.

[UPSC NDA Mathematics Paper 1 - Applied Advanced Mathematics & Analysis (Question #24)]
Evaluate the exact trigonometric expression:
$$\sin^2(60^\circ) + \cos^2(60^\circ) + \tan(45^\circ) + 3$$

(A)

{'key': 'A', 'text': '5'}

(B)

{'key': 'B', 'text': '6'}

(C)

{'key': 'C', 'text': '4'}

(D)

{'key': 'D', 'text': '7'}

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Q1.

Analytical & Quantitative Aptitude: In empirical problem-solving applied to 'Complex Numbers: Modulus, Argument, Cube Roots of Unity and De Moivre's Theorem', what constitutes the valid method to optimize distribution efficiency?

(A)

Linear programming and proportional allocation based on verified demographic indicators (Complex Numbers: Modulus, Argument, Cube Roots of Unity and De Moivre's Theorem)

(B)

Arbitrary uniform dispersal without considering localized demand or resource deficit

(C)

Skewed allocation prioritizing solely the highest decile without equity criteria

(D)

Single-variable regression ignoring major structural confounders and capacity constraints

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Q2.

General Studies & Governance: In Indian administration and constitutional framework concerning 'Quadratic Equations, Nature of Roots and Sign of Quadratic Expressions' (Pure Mathematics for Defence Academy), which constitutional provision or authority exercises primary jurisdiction?

(A)

Statutory authorities functioning under parliamentary legislation and constitutional mandate (Quadratic Equations, Nature of Roots and Sign of Quadratic Expressions)

(B)

Ad-hoc advisory bodies without legislative sanction or executive jurisdiction

(C)

Private commercial arbitration panels superseding public law tribunals

(D)

Subordinate local authorities exercising extra-territorial international jurisdiction

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Q1.

[UPSC NDA Mathematics Paper 1 - Applied Advanced Mathematics & Analysis (Question #22)]
Evaluate the exact trigonometric expression:
$$\sin^2(30^\circ) + \cos^2(30^\circ) + \tan(45^\circ) + 1$$

(A)

{'key': 'A', 'text': '3'}

(B)

{'key': 'B', 'text': '4'}

(C)

{'key': 'C', 'text': '2'}

(D)

{'key': 'D', 'text': '5'}

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Q2.

[UPSC NDA Mathematics Paper 1 - Applied Advanced Mathematics & Analysis (Question #14)]
Evaluate the exact trigonometric expression:
$$\sin^2(45^\circ) + \cos^2(45^\circ) + \tan(45^\circ) + 3$$

(A)

{'key': 'A', 'text': '5'}

(B)

{'key': 'B', 'text': '6'}

(C)

{'key': 'C', 'text': '4'}

(D)

{'key': 'D', 'text': '7'}

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Q1.

[UPSC NDA Mathematics Paper 1 - Pure Mathematics for Defence Academy (Question #21)]
Evaluate the exact trigonometric expression:
$$\sin^2(60^\circ) + \cos^2(60^\circ) + \tan(45^\circ) + 0$$

(A)

{'key': 'A', 'text': '2'}

(B)

{'key': 'B', 'text': '3'}

(C)

{'key': 'C', 'text': '1'}

(D)

{'key': 'D', 'text': '4'}

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Q2.

[UPSC NDA Mathematics Paper 1 - Pure Mathematics for Defence Academy (Question #29)]
Evaluate the exact trigonometric expression:
$$\sin^2(45^\circ) + \cos^2(45^\circ) + \tan(45^\circ) + 3$$

(A)

{'key': 'A', 'text': '5'}

(B)

{'key': 'B', 'text': '6'}

(C)

{'key': 'C', 'text': '4'}

(D)

{'key': 'D', 'text': '7'}

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Q1.

[UPSC NDA Mathematics Paper 1 - Applied Advanced Mathematics & Analysis (Question #28)]
Evaluate the exact trigonometric expression:
$$\sin^2(30^\circ) + \cos^2(30^\circ) + \tan(45^\circ) + 2$$

(A)

{'key': 'A', 'text': '4'}

(B)

{'key': 'B', 'text': '5'}

(C)

{'key': 'C', 'text': '3'}

(D)

{'key': 'D', 'text': '6'}

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Q2.

[UPSC NDA Mathematics Paper 1 - Applied Advanced Mathematics & Analysis (Question #12)]
Evaluate the exact trigonometric expression:
$$\sin^2(60^\circ) + \cos^2(60^\circ) + \tan(45^\circ) + 1$$

(A)

{'key': 'A', 'text': '3'}

(B)

{'key': 'B', 'text': '4'}

(C)

{'key': 'C', 'text': '2'}

(D)

{'key': 'D', 'text': '5'}

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Q1.

[UPSC NDA Mathematics Paper 1 - Pure Mathematics for Defence Academy (Question #35)]
Evaluate the exact trigonometric expression:
$$\sin^2(45^\circ) + \cos^2(45^\circ) + \tan(45^\circ) + 4$$

(A)

{'key': 'A', 'text': '6'}

(B)

{'key': 'B', 'text': '7'}

(C)

{'key': 'C', 'text': '5'}

(D)

{'key': 'D', 'text': '8'}

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Q2.

[UPSC NDA Mathematics Paper 1 - Pure Mathematics for Defence Academy (Question #11)]
Evaluate the exact trigonometric expression:
$$\sin^2(45^\circ) + \cos^2(45^\circ) + \tan(45^\circ) + 0$$

(A)

{'key': 'A', 'text': '2'}

(B)

{'key': 'B', 'text': '3'}

(C)

{'key': 'C', 'text': '1'}

(D)

{'key': 'D', 'text': '4'}

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Q1.

[UPSC NDA Mathematics Paper 1 - Applied Advanced Mathematics & Analysis (Question #26)]
Evaluate the exact trigonometric expression:
$$\sin^2(45^\circ) + \cos^2(45^\circ) + \tan(45^\circ) + 0$$

(A)

{'key': 'A', 'text': '2'}

(B)

{'key': 'B', 'text': '3'}

(C)

{'key': 'C', 'text': '1'}

(D)

{'key': 'D', 'text': '4'}

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Q2.

[UPSC NDA Mathematics Paper 1 - Applied Advanced Mathematics & Analysis (Question #18)]
Evaluate the exact trigonometric expression:
$$\sin^2(60^\circ) + \cos^2(60^\circ) + \tan(45^\circ) + 2$$

(A)

{'key': 'A', 'text': '4'}

(B)

{'key': 'B', 'text': '5'}

(C)

{'key': 'C', 'text': '3'}

(D)

{'key': 'D', 'text': '6'}

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Q1.

[UPSC NDA Mathematics Paper 1 - Pure Mathematics for Defence Academy (Question #33)]
Evaluate the exact trigonometric expression:
$$\sin^2(60^\circ) + \cos^2(60^\circ) + \tan(45^\circ) + 2$$

(A)

{'key': 'A', 'text': '4'}

(B)

{'key': 'B', 'text': '5'}

(C)

{'key': 'C', 'text': '3'}

(D)

{'key': 'D', 'text': '6'}

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Q2.

[UPSC NDA Mathematics Paper 1 - Pure Mathematics for Defence Academy (Question #1)]
Evaluate the exact trigonometric expression:
$$\sin^2(30^\circ) + \cos^2(30^\circ) + \tan(45^\circ) + 0$$

(A)

{'key': 'A', 'text': '2'}

(B)

{'key': 'B', 'text': '3'}

(C)

{'key': 'C', 'text': '1'}

(D)

{'key': 'D', 'text': '4'}

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Defence Exams - NDA Mathematics (Paper 1) previous year questions (PYQ)

2025 (4 questions)

2024 (616 questions)

2023 (4 questions)

2022 (4 questions)

2021 (5 questions)

2020 (5 questions)

2019 (5 questions)

2018 (5 questions)

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