Question Library
Browse our collection of questions across various subjects
Mathematics
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What is the number of non-zero terms in the expansion of (1 + 2√3 x)^11 + (1 – 2√3 x)^11…
NDA Mathematics 2018
NDA 2018
Mathematics
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Let Sₙ be the sum of the first n terms of an AP. If S₂ₙ = 3n + 14n², then…
NDA Mathematics 2019
NDA 2019
Mathematics
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The modulus-amplitude form of √3 + i, where i = √–1 is
NDA Mathematics 2018
NDA 2018
Mathematics
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Let a, b, c be in AP and k ≠ 0 be a real number. Which of the following are…
NDA Mathematics 2019
NDA 2019
Mathematics
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What is1/log₂N + 1/log₃N + 1/log₄N + … + 1/log₁₀₀Nequal to (N ≠ 1)?
NDA Mathematics 2018
NDA 2018
Mathematics
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What is i²⁰⁰⁰ + i²⁰⁰¹ + i²⁰⁰² + i²⁰⁰³ equal to (where i = √–1)?
NDA Mathematics 2018
NDA 2018
Mathematics
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The binary number expression of the decimal number 31 is
NDA Mathematics 2018
NDA 2018
Mathematics
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What is C(47, 4) + C(51, 3) + C(50, 3) + C(49, 3) + C(48, 3) + C(47, 3) equal…
NDA Mathematics 2019
NDA 2019
Mathematics
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If the constant term in the expansion of (√x – k/x²)¹⁰ is 405, then what can be the values of…
NDA Mathematics 2019
NDA 2019
Mathematics
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If α and β are different complex numbers with |α| = 1, then what is |(α – β)/(1 – αβ̅)|…
NDA Mathematics 2018
NDA 2018
Mathematics
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Let A ∪ B = {x | (x – a)(x – b) > 0, where a < b}. What are…
NDA Mathematics 2019
NDA 2019
Mathematics
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If n! has 17 zeros, then what is the value of n?
NDA Mathematics 2019
NDA 2019
Mathematics
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If A = [[1, 2], [2, 3]] and B = [[1, 2], [3, 4]], then which one of the following…
NDA Mathematics 2019
NDA 2019
Mathematics
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In a class, 54 students are good in Hindi only, 63 students are good in Mathematics only and 41 students…
NDA Mathematics 2018
NDA 2018
Mathematics
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If the middle term in the expansion of (x² + 1/x)^2n is 184756x¹⁰, then what is the value of n?
NDA Mathematics 2019
NDA 2019
Mathematics
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How many terms are there in the expansion of (1 + 2x + x²)⁵ + (1 + 4y + 4y²)⁵…
NDA Mathematics 2019
NDA 2019
Mathematics
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If P(n, r) = 2520 and C(n, r) = 21, then what is the value of C(n + 1, r…
NDA Mathematics 2019
NDA 2019
Mathematics
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What is the value of 2 + 1/(2 + 1/(2 + 1/(2 + … ∞))) ?
NDA Mathematics 2019
NDA 2019