Question Library
Browse our collection of questions across various subjects
Mathematics
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Let α and β (α < β) be the roots of the equation x² + bx + c = 0,…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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What is the minimum value of f(x)? Consider the function f(x) = (x² − 1)/(x² + 1) where x ∈…
NDA Mathematics 2015
NDA 2015
General Ability
Easy
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Which one among the following is used in making gunpowder?
NDA General Ability 2015
NDA 2015
Mathematics
Easy
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Let α and β (α < β) be the roots of the equation x² + bx + c = 0,…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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At what value of x does f(x) attain minimum value? Consider the function f(x) = (x² − 1)/(x² + 1)…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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What is α equal to? The integral ∫ dx / (a cos x + b sin x) is of the…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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f(x) =x + π for x ∈ [−π, 0)π cos x for x ∈ [0, π/2](x − π/2)² for x ∈ (π/2, π]…
NDA Mathematics 2016
NDA 2016
General Ability
Easy
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Which one among the following happens when a swing rises to a certain height from its rest position?
NDA General Ability 2015
NDA 2015
Mathematics
Easy
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The integral ∫ dx / (a cos x + b sin x) is of the form (1/r) ln|tan((x + α)/2)|…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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A function f(x) is defined as follows :f(x) =x + π for x ∈ [−π, 0)π cos x for x ∈ [0,…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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Consider the following functions: 1.f(x) = x³, x ∈ R 2.f(x) = sin x, 0 < x < 2π 3.f(x)…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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f(x) = -1 if x ≤ 0f(x) = ax + b if 0 < x < 1f(x) = 1 if…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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Given a functionf(x) = -1 if x ≤ 0f(x) = ax + b if 0 < x < 1f(x) =…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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If f(x) = log₅((1 + x)/(1 − x)), g(x) = (3x + x³)/(1 + 3x²) and g°f(t) = g(f(t)), then…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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What is the derivative of tan⁻¹(√(1 + x²) − 1 / x) with respect to tan⁻¹ x?
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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Consider the following statements: 1.f(x) = [x], where [.] is the greatest integer function, is discontinuous at x = n,…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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For each non-zero real number x, let f(x) = x/|x|. The range of f is
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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Consider the following statements: 1.y = (e^x + e^(-x))/2 is an increasing function on (0, ∞). 2.y = (e^x −…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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If G(x) = √(25 − x²), then what is lim (x→1) (G(x) − G(1)) / (x − 1) equal to?
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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What is the equation of the plane passing through P(1, 2, 3) and parallel to xy-plane? A point P(1, 2,…
NDA Mathematics 2015
NDA 2015