Question Library
Browse our collection of questions across various subjects
Mathematics
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Consider the following in respect of the function f(x) = 10^x: 1.Its domain is (−∞, ∞) 2.It is a continuous…
NDA Mathematics 2022
NDA 2022
Mathematics
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If dy/dx = (ln 5)y with y(0) = ln 5, then what is y(1) equal to?
NDA Mathematics 2022
NDA 2022
Mathematics
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Let y = [x + 1], -4 < x < -3 where [.] is the greatest integer function. What is…
NDA Mathematics 2022
NDA 2022
Mathematics
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If y = (x^x)^x, then what is the value of dy/dx at x = 1?
NDA Mathematics 2022
NDA 2022
Mathematics
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If xʸyˣ = 1, then what is dy/dx at (1,1) equal to?
NDA Mathematics 2022
NDA 2022
Mathematics
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If f(x) = 4x + 3, then what is f∘f∘f(-1) equal to?
NDA Mathematics 2022
NDA 2022
Mathematics
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If 4f(x) – f(1/x) = (2x + 1/x)(2x – 1/x), then what is f(2) equal to?
NDA Mathematics 2022
NDA 2022
Mathematics
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What is the maximum value of the function f(x) = 1 / (tan x + cot x), where 0 <…
NDA Mathematics 2022
NDA 2022
Mathematics
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How many extreme values does sin 4x + 2x, where 0 < x < π/2 have?
NDA Mathematics 2022
NDA 2022
Mathematics
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If I₁ = ∫ (e^x dx) / (e^x + e^(-x)) and I₂ = ∫ dx / (e^{2x} + 1), then…
NDA Mathematics 2022
NDA 2022
Mathematics
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What is ∫(sin x)^(-1/2)(cos x)^(-3/2) dx equal to?
NDA Mathematics 2022
NDA 2022
Mathematics
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What is ∫₀^{π/4} dx / (sin x + cos x)² equal to?
NDA Mathematics 2022
NDA 2022
General Ability
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Who among the following initiated the Bhoodan Movement?
NDA General Ability 2022
NDA 2022
General Ability
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The book, Kalila wa Dimna is an Arabic translation of the
NDA General Ability 2022
NDA 2022
General Ability
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Who among the following laid the foundation of the Vijayanagara Empire?
NDA General Ability 2022
NDA 2022
General Ability
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With reference to India’s defence, the terms ‘Surat’ and ‘Udaygiri’ refer to
NDA General Ability 2022
NDA 2022
General Ability
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India signed a deal with which one of the following countries to supply MH-60R helicopters to the Indian Navy?
NDA General Ability 2022
NDA 2022
General Ability
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Which of the following Indian Naval Ships were decommissioned in June 2022?
NDA General Ability 2022
NDA 2022
General Ability
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Which among the following was the host country of the United Nations World Environment Day, 2022?
NDA General Ability 2022
NDA 2022