Question Library
Browse our collection of questions across various subjects
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A function satisfies f(x – y) = f(x) / f(y), where f(y) ≠ 0. If f(1) = 0.5, then what…
NDA Mathematics 2023
NDA 2023
Mathematics
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Consider the following statements: 1. A = (A ∪ B) ∪ (A – B) 2. A ∪ (B – A)…
NDA Mathematics 2023
NDA 2023
Mathematics
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Consider the following statements: 1. The relation f defined byf(x) = { x³, 0 ≤ x ≤ 2 4x,…
NDA Mathematics 2023
NDA 2023
Mathematics
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Let A = {1, 2, 3, …, 20}. Define a relation R from A to A by R = {(x,…
NDA Mathematics 2023
NDA 2023
Mathematics
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The Cartesian product A × A has 16 elements among which are (0, 2) and (1, 3). Which of the…
NDA Mathematics 2023
NDA 2023
Mathematics
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If Aₖ =[ k – 1 kk – 2 k + 1 ],then what isdet(A₁) + det(A₂) + det(A₃) +…
NDA Mathematics 2023
NDA 2023
Mathematics
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The value of the determinant of a matrix A of order 3 is 3. If C is the matrix of…
NDA Mathematics 2023
NDA 2023
Mathematics
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If A =[ 1 0 00 1 00 0 1 ],then what is 23A³ – 19A² – 4A equal to?
NDA Mathematics 2023
NDA 2023
Mathematics
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If A =[ 2 –1 0–1 3 01 0 1 ],then what is the value of det[adj(adj(A))]?
NDA Mathematics 2023
NDA 2023
Mathematics
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If all elements of a third order determinant are equal to 1 or –1, then the value of the determinant…
NDA Mathematics 2023
NDA 2023
Mathematics
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A set S contains (2n + 1) elements. There are 4096 subsets of S which contain at most n elements.…
NDA Mathematics 2023
NDA 2023
Mathematics
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What is the maximum number of points of intersection of 10 circles?
NDA Mathematics 2023
NDA 2023
Mathematics
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Which one of the following is a square root of –√–1?
NDA Mathematics 2023
NDA 2023
Mathematics
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Let t₁, t₂, t₃ … be in GP. What is (t₁ t₃ … t₂₁)^(1/11) equal to?
NDA Mathematics 2023
NDA 2023
Mathematics
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If (a + b), 2b, (b + c) are in HP, then which one of the following is correct?
NDA Mathematics 2023
NDA 2023
Mathematics
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If A =[ 2 0 00 3 00 0 4 ],then which of the following statements are correct? 1. Aⁿ…
NDA Mathematics 2023
NDA 2023
Mathematics
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If A =[ 0 3 4–3 0 5–4 –5 0 ],then which one of the following statements is correct?
NDA Mathematics 2023
NDA 2023
Mathematics
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Let A be a skew-symmetric matrix of order 3.What is the value ofdet(4A⁴) – det(3A³) + det(2A²) – det(A) +…
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
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If the nth term of a sequence is (2n + 5)/7, then what is the sum of its first 140…
NDA Mathematics 2023
NDA 2023