Question Library
Browse our collection of questions across various subjects
Mathematics
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Let sin x + sin y = cos x + cos y for all x, y ∈ ℝ. What is…
NDA Mathematics 2021
NDA 2021
Mathematics
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Let sin⁻¹x + sin⁻¹y + sin⁻¹z = 3π/2 for 0 ≤ x, y, z ≤ 1. What is the value…
NDA Mathematics 2021
NDA 2021
Mathematics
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Consider the expansion of (1 + x)ⁿ. Let p, q, r and s be the coefficients of first, second, nth…
NDA Mathematics 2021
NDA 2021
Mathematics
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Consider all the real roots of the equation x⁴ – 10x² + 9 = 0. What is the sum of…
NDA Mathematics 2021
NDA 2021
Mathematics
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Consider a regular polygon with 10 sides. What is the number of triangles that can be formed by joining the…
NDA Mathematics 2021
NDA 2021
Mathematics
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If sin(A + B) = 1 and 2sin(A – B) = 1, where 0 < A < B < π/2,…
NDA Mathematics 2021
NDA 2021
Mathematics
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What is the period of the function f(x) = ln(2 + sin²x)?
NDA Mathematics 2021
NDA 2021
Mathematics
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What is the maximum number of points of intersection of 5 non-overlapping circles?
NDA Mathematics 2020
NDA 2020
Mathematics
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The inverse of a matrix A is given by| –2 1 || 3/2 –1/2 | What is A equal to?
NDA Mathematics 2021
NDA 2021
Mathematics
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What is the number of ways in which the letters of the word ‘ABLE’ can be arranged so that the…
NDA Mathematics 2020
NDA 2020
Mathematics
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Let A = [ a h g b f d g f c ]and B = [ x y z ],…
NDA Mathematics 2020
NDA 2020
Mathematics
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For what values of k is the system of equations2k²x + 3y – 1 = 0,7x – 2y + 3…
NDA Mathematics 2021
NDA 2021
Mathematics
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How many terms are there in the expansion of((a² / b²) + (b² / a² + 2))²¹where a ≠ 0,…
NDA Mathematics 2021
NDA 2021
Mathematics
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What is the value of the determinant| i i^2 i^3 || i^9 i^8 i^6 || i^7 i^6 i^5 |where i…
NDA Mathematics 2020
NDA 2020
Mathematics
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Suppose 20 distinct points are placed randomly on a circle. Which of the following statements is/are correct? 1. The number…
NDA Mathematics 2021
NDA 2021
Mathematics
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Let S = {1, 2, 3, …},A relation R on S × S is defined by xRy if logₐ x…
NDA Mathematics 2020
NDA 2020
Mathematics
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How many 4-letter words (with or without meaning) containing two vowels can be constructed using only the letters (without repetition)…
NDA Mathematics 2021
NDA 2021
Mathematics
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If 1.5 ≤ x ≤ 4.5, then which one of the following is correct?
NDA Mathematics 2020
NDA 2020
Mathematics
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If C(n, 4), C(n, 5) and C(n, 6) are in AP, then what is the value of n?
NDA Mathematics 2021
NDA 2021
Mathematics
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Let A = [ x + y 2 2x x – y ],B = [ 2 -1 ]and C =…
NDA Mathematics 2020
NDA 2020