Question Library
Browse our collection of questions across various subjects
Mathematics
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Consider the following statements: 1. The general solution of dy/dx = f(x) + x is of the form y =…
NDA Mathematics 2015
NDA 2015
Mathematics
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Consider the following statements : 1. tan⁻¹ x + tan⁻¹(1/x) = π 2. There exist x, y ∈ [−1, 1],…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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Consider the parametric equationx = a(1 – t²) / (1 + t²), y = 2at / (1 + t²) What…
NDA Mathematics 2015
NDA 2015
General Ability
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In plants, which one of the following gases is released during Photosynthesis?
NDA General Ability 2015
NDA 2015
Mathematics
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Consider the following statements : 1. There exists θ ∈ (−π/2, π/2) for which tan⁻¹(tan θ) ≠ θ. 2. sin⁻¹(1/3)…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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Consider the parametric equationx = a(1 – t²) / (1 + t²), y = 2at / (1 + t²) What…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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Let â, b̂ be two unit vectors and θ be the angle between them. What is sin(θ/2) equal to?
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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Consider the parametric equationx = a(1 – t²) / (1 + t²), y = 2at / (1 + t²) What…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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Let â, b̂ be two unit vectors and θ be the angle between them. What is cos(θ/2) equal to?
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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Consider the following statements: 1.The function attains local minima at x = -2 and x = 3. 2.The function increases…
NDA Mathematics 2015
NDA 2015
General Ability
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Which one of the following is the smallest unit showing the properties of life such as capacity for metabolism, response…
NDA General Ability 2015
NDA 2015
Mathematics
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Consider a circle passing through the origin and the points (a, b) and (−b, −a). What is the sum of…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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Consider a circle passing through the origin and the points (a, b) and (−b, −a). On which line does the…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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Let f(x) be the greatest integer function and g(x) be the modulus function. What is (f ∘ f)(−9/5) + (g…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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Let f(x) be the greatest integer function and g(x) be the modulus function. What is (g ∘ f)(−5/3) − (f…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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Consider the function f(x) = |x² − 5x + 6| What is f″(2.5) equal to?
NDA Mathematics 2016
NDA 2016
Mathematics
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Consider the function f(x) = |x² − 5x + 6| What is f′(4) equal to?
NDA Mathematics 2016
NDA 2016
General Ability
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Which one of the following irrigation canals is the most important in terms of area coverage in Haryana?
NDA General Ability 2015
NDA 2015
Mathematics
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A plane P passes through the line of intersection of the planes2x − y + 3z = 2, x + y…
NDA Mathematics 2016
NDA 2016