Question Library
Browse our collection of questions across various subjects
Mathematics
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If 2p + 3q = 18and 4p² + 4pq − 3q² − 36 = 0 then what is (2p + q) equal…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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Consider the curves f(x) = x|x| – 1 and g(x) = {3x/2, x > 0; 2x, x ≤ 0} Where…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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Let A = {x, y, z} and B = {p, q, r, s}. What is the number of distinct relations…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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Consider the function f(θ) = 4(sin²θ + cos⁴θ) Consider the following statements: 1. f(θ) = 2 has no solution. 2.…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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If E(θ) = [ cosθ sinθ ] [ −sinθ cosθ ] then E(α)E(β) is equal to
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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Consider the function f(θ) = 4(sin²θ + cos⁴θ) What is the minimum value of the function f(θ)?
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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Consider the function f(θ) = 4(sin²θ + cos⁴θ) What is the maximum value of the function f(θ)?
NDA Mathematics 2016
2016
Mathematics
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If a circle of radius b units with centre at (0, b) touches the line y = x – √2,…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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A straight line intersects x and y axes at P and Q respectively. If (3, 5) is the middle point…
NDA Mathematics 2016
NDA 2016
Mathematics
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What is the real part of (sin x + i cos x)³ where i = √(−1)?
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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What is the range of the function y = x² / (1 + x²) where x ∈ R?
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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If (11101011)₂ is converted to decimal system, then the resulting number is
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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If f(x₁) – f(x₂) = f((x₁ – x₂)/(1 – x₁x₂)) for x₁, x₂ ∈ (-1, 1), then what is f(x)…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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If z = x + iy = (1/√2 – i/√2)^(-25), where i = √(-1), then what is the fundamental amplitude…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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If x² – px + 4 > 0 for all real values of x, then which one of the following…
NDA Mathematics 2016
NDA 2016
Mathematics
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If A = {x : x is a multiple of 3} and B = {x : x is a multiple…
NDA Mathematics 2015
NDA 2015
Mathematics
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Suppose there is a relation * between the positive numbers x and y given by x * y if and…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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Let A = [x + y y] B = [2 −1] and C = [3] [2x x − y] [2 −1] [2] If AB = C, then what is…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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Suppose ω is a cube root of unity with ω ≠ 1. Suppose P and Q are the points on…
NDA Mathematics 2016
NDA 2016