Question Library
Browse our collection of questions across various subjects
Mathematics
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Let f : (–1, 1) → R be a differentiable function with f(0) = –1 and f′(0) = 1. Let…
NDA Mathematics 2024
NDA 2024
Mathematics
Easy
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Let f : (–1, 1) → R be a differentiable function with f(0) = –1 and f′(0) = 1. Let…
NDA Mathematics 2024
NDA 2024
Mathematics
Easy
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Let f(t) = ln(t + √(1 + t^2)) and g(t) = tan⁻¹(t). What is ∫(–1 to 1) g(t) dt equal…
NDA Mathematics 2024
NDA 2024
Mathematics
Easy
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Let f(t) = ln(t + √(1 + t^2)) and g(t) = tan⁻¹(t). Consider the following statements:I. f(t) is an odd…
NDA Mathematics 2024
NDA 2024
Mathematics
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Let f(x) = |x^2 – x – 2|. What is ∫(3 to 5) f(x) dx equal to?
NDA Mathematics 2024
NDA 2024
Mathematics
Easy
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Let f(x) = |x^2 – x – 2|. What is ∫(0 to 2) f(x) dx equal to?
NDA Mathematics 2024
NDA 2024
Mathematics
Easy
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Let y dx + (x – y^3) dy = 0 be a differential equation. What is the solution of the…
NDA Mathematics 2024
NDA 2024
General Ability
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Which of the following scheme(s) is/are included under Bharatmala Pariyojana? 1. Develop the road connectivity to border areas 2. Development…
NDA General Ability 2023
NDA 2023
Mathematics
Easy
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Let y dx + (x – y^3) dy = 0 be a differential equation. What are the order and degree…
NDA Mathematics 2024
NDA 2024
General Ability
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What is the total resistance in the following circuit element?
NDA General Ability 2023
NDA 2023
Mathematics
Easy
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The area bounded by the parabola y^2 = kx and the line x = k, where k > 0, is…
NDA Mathematics 2024
NDA 2024
General Ability
Easy
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In an electric circuit, a wire of resistance 10 Ω is used. If this wire is stretched to a length…
NDA General Ability 2023
NDA 2023
Mathematics
Easy
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The area bounded by the parabola y^2 = kx and the line x = k, where k > 0, is…
NDA Mathematics 2024
NDA 2024
General Ability
Easy
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Which one of the following is an example of Second Class Lever?
NDA General Ability 2023
NDA 2023
Mathematics
Easy
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Let f(x) = cos 2x + x on [–π/2, π/2]. What is the least value of f(x)?
NDA Mathematics 2024
NDA 2024
General Ability
Easy
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A mass is attached to a spring that hangs vertically. The extension produced in the spring is 6 cm on…
NDA General Ability 2023
NDA 2023
General Ability
Easy
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One block of 2·0 kg mass is placed on top of another block of 3·0 kg mass. The coefficient of…
NDA General Ability 2023
NDA 2023
Mathematics
Easy
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Let f(x) = cos 2x + x on [–π/2, π/2]. What is the greatest value of f(x)?
NDA Mathematics 2024
NDA 2024
General Ability
Easy
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The power required to lift a mass of 8·0 kg up a vertical distance of 4 m in 2 s…
NDA General Ability 2023
NDA 2023