Question Library
Browse our collection of questions across various subjects
General Ability
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The formation of ‘tors’ on small rocky hills is associated with which among the following?
NDA General Ability 2022
NDA 2022
Mathematics
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What is the solution of the differential equation (dy – dx) + cos x(dy + dx) = 0?
NDA Mathematics 2022
NDA 2022
General Ability
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Consider the following statements on computation of density : Physiological density can be computed by dividing the total population by…
NDA General Ability 2022
NDA 2022
Mathematics
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What is the differential equation of the family of parabolas having vertex at origin and axis along positive y-axis?
NDA Mathematics 2022
NDA 2022
General Ability
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At which among the following Harappan sites are fire altars found?
NDA General Ability 2022
NDA 2022
General Ability
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Who among the following has described the medieval Indian postal system as of two kinds—the horse-post called ‘Uluq’ and the…
NDA General Ability 2022
NDA 2022
Mathematics
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Consider the following statements: 1. The degree of the differential equation dy/dx + cos(dy/dx) = 0 is 1. 2. The…
NDA Mathematics 2022
NDA 2022
General Ability
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Which one of the following rivers in India was not crossed by Alexander and his army?
NDA General Ability 2022
NDA 2022
Mathematics
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What is the area of the region enclosed in the first quadrant by x² + y² = π², y =…
NDA Mathematics 2022
NDA 2022
Mathematics
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What is ∫_{–π/2}^{π/2} e^{cos x} sin x + e^{–sin x} cos x dx equal to?
NDA Mathematics 2022
NDA 2022
Mathematics
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If ∫₀^{π/2} (sin⁴x + cos⁴x) dx = k, then what is the value of ∫₀^{20π} (sin⁴x + cos⁴x) dx?
NDA Mathematics 2022
NDA 2022
Mathematics
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Consider the following statements in respect of the functionf(x) = |x| + 1, 0 < |x| ≤ 3 = 1, x…
NDA Mathematics 2022
NDA 2022
Mathematics
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Where does the function f(x) = ∑ (x – j)², j = 1 to 7 attain its minimum value?
NDA Mathematics 2022
NDA 2022
Mathematics
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Under which one of the following conditions does the functionf(x) = (p sec x)² + (q cosec x)² attain minimum…
NDA Mathematics 2022
NDA 2022
Mathematics
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If d/dx [(1 + x⁴ + x⁸) / (1 – x² + x⁴)] = ax + bx³, then which one…
NDA Mathematics 2022
NDA 2022
Mathematics
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If y = ln[(x² – x + 1) / (x² + x + 1)], then what is dy/dx at x…
NDA Mathematics 2022
NDA 2022
Mathematics
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Let f(x) be a function such that f′(x) = g(x) and f′′(x) = –f(x). Let h(x) = [f(x)]² + [g(x)]².…
NDA Mathematics 2022
NDA 2022
Mathematics
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What is lim (h→0) [sin²(x + h) – sin²x] / h equal to?
NDA Mathematics 2022
NDA 2022
Mathematics
Easy
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If f(x) = (x² + x + |x|) / x, then what islim f(x) as x → 0 equal to?
NDA Mathematics 2022
NDA 2022