Question Library
Browse our collection of questions across various subjects
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If sinθ and cosθ are the roots of the equation ax² + bx + c = 0, then which one…
NDA Mathematics 2021
NDA 2021
Mathematics
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If x = logₐ(ab), y = log_b(bc), z = log_c(ca),then which of the following is correct?
NDA Mathematics 2020
NDA 2020
Mathematics
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What is the value of(1/10) log₁₀ 1024 – log₁₀ 10 + (1/5) log₁₀ 3125 ?
NDA Mathematics 2020
NDA 2020
Mathematics
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Which one of the following is a square root of 2a + 2√(a² + b²), where a, b ∈ ℝ?…
NDA Mathematics 2021
NDA 2021
Mathematics
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The number (1101101 + 1011011)₂ can be written in decimal system as
NDA Mathematics 2020
NDA 2020
Mathematics
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If z = x + iy, where i = √–1, then what does the equation zz̄ + |z|² + 4(z…
NDA Mathematics 2021
NDA 2021
Mathematics
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For how many values of k, is the matrix[ 0 k 4 k 0 5-k k -1 ]singular?
NDA Mathematics 2020
NDA 2020
Mathematics
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What is ∑ (iⁿ) from n = 1 to 8n + 7, where i = √–1?
NDA Mathematics 2021
NDA 2021
Mathematics
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If C(20, n + 2) = C(20, n – 2),then what is n equal to?
NDA Mathematics 2020
NDA 2020
Mathematics
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If| a – b a – b – c || b a + b – c | = kabc = 0| –a – b –a…
NDA Mathematics 2021
NDA 2021
Mathematics
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If (1 + 2x – x^2)^6 = a₀ + a₁x + a₂x² + … + a₁₂x¹²,then what is a₀ –…
NDA Mathematics 2020
NDA 2020
Mathematics
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The term independent of x in the binomial expansion of(2/x^2 – √x)^10 is equal to
NDA Mathematics 2020
NDA 2020
Mathematics
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If A = | 1 a | | 0 1 |where a ∈ ℕ, then what is A¹⁰⁰ – A⁵⁰ – 2A²⁵…
NDA Mathematics 2021
NDA 2021
Mathematics
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If matrix A = [ 1 – i i - i 1 – i ]where i = √-1,then which one of…
NDA Mathematics 2020
NDA 2020
Mathematics
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If 1/(b + c), 1/(c + a), 1/(a + b) are in HP, then which of the following is/are correct?…
NDA Mathematics 2021
NDA 2021
Mathematics
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IfΔ = | a b c | | d e f | | g h i | then what is | 3d + 5g 4a + 7g 6g || 3e…
NDA Mathematics 2021
NDA 2021
Mathematics
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If p and q are the non-zero roots of the equation x² + px + q = 0, then how…
NDA Mathematics 2021
NDA 2021
Mathematics
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If aₙ = n(n!), then what is a₁ + a₂ + a₃ + ⋯ + a₁₀ equal to?
NDA Mathematics 2021
NDA 2021
Mathematics
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The quadratic equation 3x² – (k² + 5k)x + 3k² – 5k = 0 has real roots of equal magnitude…
NDA Mathematics 2021
NDA 2021
Mathematics
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If p = (1111⋯ up to n digits), then what is the value of 9p² + p?
NDA Mathematics 2021
NDA 2021