Question Library
Browse our collection of questions across various subjects
Mathematics
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If x = 1 + i, then what is the value of x⁶ + x⁴ + x² + 1?
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 A = {x : 0 ≤ x ≤ 2} and B = {y : y is a prime number},…
NDA Mathematics 2019
NDA 2019
Mathematics
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How many four-digit numbers divisible by 10 can be formed using 1, 5, 0, 6, 7 without repetition of digits?
NDA Mathematics 2018
NDA 2018
Mathematics
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In a school, 50% students play cricket and 40% play football. If 10% of students play both the games, then…
NDA Mathematics 2019
NDA 2019
Mathematics
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If x + log₁₅(1 + 3³ˣ) = x log₁₅ 5 + log₁₅ 12, where x is an integer, then what…
NDA Mathematics 2018
NDA 2018
Mathematics
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If α and β are the roots of x² + x + 1 = 0, then what is ∑ (α^j…
NDA Mathematics 2019
NDA 2019
Mathematics
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If the coefficients of aᵐ and aⁿ in the expansion of (1 + a)ᵐ⁺ⁿ are α and β, then which…
NDA Mathematics 2018
NDA 2018
Mathematics
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What is the value of [(i + √3)/2]²⁰¹⁹ + [(i – √3)/2]²⁰¹⁹ ?
NDA Mathematics 2019
NDA 2019
Mathematics
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If the ratio of AM to GM of two positive numbers a and b is 5 : 3, then a…
NDA Mathematics 2018
NDA 2018
Mathematics
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The number of non-zero integral solutions of the equation |1 – 2x|⁴ = 5ˣ is
NDA Mathematics 2018
NDA 2018
Mathematics
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Under which one of the following conditions will the quadratic equation x² + mx + 2 = 0 always have…
NDA Mathematics 2019
NDA 2019
Mathematics
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How many numbers between 100 and 1000 can be formed with the digits 5, 6, 7, 8, 9, if the…
NDA Mathematics 2018
NDA 2018
Mathematics
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Let m and n (m < n) be the roots of the equation x² – 16x + 39 = 0.…
NDA Mathematics 2019
NDA 2019
Mathematics
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Let A and B be subsets of X andC = (A ∩ B′) ∪ (A′ ∩ B), where A′ and…
NDA Mathematics 2018
NDA 2018
Mathematics
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If A = | 1 -1 | | -1 1 |then the expression A³ – 2A²…
NDA Mathematics 2019
NDA 2019
Mathematics
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Let α and β be real numbers and z be a complex number. If z² + αz + β =…
NDA Mathematics 2018
NDA 2018
Mathematics
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If x + a + b + c = 0, then what is the value of|x + a b c||a…
NDA Mathematics 2019
NDA 2019
Mathematics
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What is the principal argument of (–1 – i), where i = √–1?
NDA Mathematics 2018
NDA 2018
Mathematics
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What are the values of x that satisfy the equation|x 0 2| |3x 0 2||2x 2 1| + |x² 2…
NDA Mathematics 2019
NDA 2019