Question Library
Browse our collection of questions across various subjects
Mathematics
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If A is a square matrix, then what is adj(A⁻¹) – (adj A)⁻¹ equal to?
NDA Mathematics 2016
NDA 2016
Mathematics
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The adjacent sides AB and AC of a triangle ABC are represented by the vectors -2i + 3j + 2k…
NDA Mathematics 2015
NDA 2015
Mathematics
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If lim (x→0) φ(x) = a², where a ≠ 0, then what is lim (x→0) (x/a) equal to?
NDA Mathematics 2016
NDA 2016
Mathematics
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What is the solution of the differential equation dx/x – y² = 0?
NDA Mathematics 2015
NDA 2015
Mathematics
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What is the solution of the differential equation sin(dy/dx) – a = 0?
NDA Mathematics 2015
NDA 2015
Mathematics
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What is the solution of the differential equation (y dx – x dy) / y² = 0?
NDA Mathematics 2015
NDA 2015
Mathematics
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Given that lim (x→∞) [ (2 + x²) / (1 + x) – Ax – B ] = 3. What…
NDA Mathematics 2015
NDA 2015
Mathematics
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What is the value of A? Given that lim (x→∞) [ (2 + x²) / (1 + x) – Ax…
NDA Mathematics 2015
NDA 2015
Mathematics
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What is the value of B? Given that d/dx [ (1 + x² + x⁴) / (1 + x +…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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What is the value of A? Given that d/dx [ (1 + x² + x⁴) / (1 + x +…
NDA Mathematics 2015
NDA 2015
Mathematics
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Consider the integral Iₘ = ∫₀^π (sin 2m x / sin x) dx, where m is a positive integer. Consider…
NDA Mathematics 2015
NDA 2015
Mathematics
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Consider the integral Iₘ = ∫₀^π (sin 2m x / sin x) dx, where m is a positive integer. What…
NDA Mathematics 2015
NDA 2015
Mathematics
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If ∫₋₂⁵ f(x) dx = 4 and ∫₀⁵ { 1 + f(x) } dx = 7, then what is ∫₀⁻₂…
NDA Mathematics 2016
NDA 2016
General Ability
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Match List I with List II and select the correct answer using the code given below the Lists: List I…
NDA General Ability 2015
NDA 2015
Mathematics
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Consider the integral Iₘ = ∫₀^π (sin 2m x / sin x) dx, where m is a positive integer. What…
NDA Mathematics 2015
NDA 2015
Mathematics
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What is ∫₂³ x dx − ∫₂³ [x] dx equal to, where [ ] is the greatest integer function?
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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Consider the integral Iₘ = ∫₀^π (sin 2m x / sin x) dx, where m is a positive integer. What…
NDA Mathematics 2015
NDA 2015
Mathematics
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What are the order and degree respectively of the differential equation whose solution is y = cx + c² −…
NDA Mathematics 2016
NDA 2016