Question Library
Browse our collection of questions across various subjects
Mathematics
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What is the length of the longest interval in which the function f(x) = 3sin x – 4sin³ x is…
NDA Mathematics 2017
NDA 2017
Mathematics
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Let f(x): {x, x is rational {0, x is irrational and g(x): {0, x is rational {x, x is irrational…
NDA Mathematics 2017
NDA 2017
Mathematics
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If F(x) = √(9 – x²), then what is lim (x→1) |F(x) – F(1)| / |x – 1| equal to?
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
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Let f(x) = px + q and g(x) = mx + n. Then f(g(x)) = g(f(x)) is equivalent to
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
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Let f : [-6, 6] → R be defined by f(x) = x² – 3. Consider the following: 1.(f o…
NDA Mathematics 2017
NDA 2017
General Ability
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What is ∫ (x(e⁻¹ + e⁻ˣ) / (x² + e⁻ˣ)) dx equal to?
NDA Mathematics 2017
NDA 2017
Mathematics
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If f(x) = x / (x – 1), then what is f(a) / f(a + 1) equal to?
NDA Mathematics 2017
NDA 2017
Mathematics
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The function f : X → Y defined by f(x) = cos x, where x ∈ X, is one-one and…
NDA Mathematics 2017
NDA 2017
Mathematics
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What is lim (x→0) (e^x – (1 + x)) / x² equal to?
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
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If a = 2i + 3j + 4k and b = 3i + 2j – λk are perpendicular, then what…
NDA Mathematics 2017
NDA 2017
Mathematics
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If a x b = c and b x c = a, then which one of the following is correct?
NDA Mathematics 2017
NDA 2017
Mathematics
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ABCD is a quadrilateral whose diagonals are AC and BD. Which one of the following is correct?
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
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Let ABCD be a parallelogram whose diagonals intersect at P and let O be the origin. What is OA +…
NDA Mathematics 2017
NDA 2017
General Ability
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Which of the following statements about the aims of the United Nations is/are true? 1. To foster a mutual appreciation…
NDA General Ability 2016
NDA 2016
General Ability
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Which of the following statements about Brahmo Samaj is/are correct? 1. The Brahmo Marriage Act of 1872 allowed inter-caste and…
NDA General Ability 2016
NDA 2016
General Ability
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Which of the following is/are the component/components of the Integrated Power Development Scheme launched by the Government of India recently?…
NDA General Ability 2016
NDA 2016
General Ability
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Which of the following is/are not FDI policy change(s) after 2010? 1. Permission of 100 percent FDI in automotive sector…
NDA General Ability 2016
NDA 2016