Question Library
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Mathematics
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What is [sin(π/6) 1 − cos(π/6)]³ [sin(π/6) 1 − cos(π/6)] where i = √(−1), equal to?
NDA Mathematics 2015
NDA 2015
Mathematics
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(x³ − 1) can be factorised as where ω is one of the cube roots of unity.
NDA Mathematics 2015
NDA 2015
Mathematics
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How many words can be formed using all the letters of the word “NATION” so that all the three vowels…
NDA Mathematics 2015
NDA 2015
Mathematics
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If X = [3 −4] B = [5 2] and A = [p q] [1 −1] [5 −2] [r s] satisfy the equation AX = B, then…
NDA Mathematics 2015
NDA 2015
Mathematics
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Consider the following in respect of two non-singular matrices A and B of same order : 1.det(A + B) =…
NDA Mathematics 2015
NDA 2015
Mathematics
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The decimal number (127.25)₁₀, when converted to binary number, takes the form
NDA Mathematics 2015
NDA 2015
Mathematics
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Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Then the number of subsets of A…
NDA Mathematics 2015
NDA 2015
Mathematics
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If 1, ω, ω² are the cube roots of unity, then the value of (1 + ω)(1 + ω²)(1 + ω⁴)(1…
NDA Mathematics 2015
NDA 2015
Mathematics
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What is the sum of the series 0.5 + 0.55 + 0.555 + … to n terms?
NDA Mathematics 2015
NDA 2015
Mathematics
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If m and n are the roots of the equation (x + p)(x + q) − k = 0, then…
NDA Mathematics 2015
NDA 2015
Mathematics
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If z = (2(1 + 2i)) / (3 + i)where i = √(−1), then the argument θ(−π < θ ≤ π)…
NDA Mathematics 2015
NDA 2015
Mathematics
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Let Z be the set of integers and aR b, where a, b ∈ Z if and only if (a…
NDA Mathematics 2015
NDA 2015
Mathematics
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If log₁₀2, log₁₀(2ˣ − 1) and log₁₀(2ˣ + 3) are three consecutive terms of an AP, then the value of…
NDA Mathematics 2015
NDA 2015
Mathematics
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In a class of 60 students, 45 students like music, 50 students like dancing, 5 students like neither. Then the…
NDA Mathematics 2015
NDA 2015
Mathematics
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If A = [2 7] [1 5]then what is A + 3A⁻¹ equal to? where I is the identity matrix of order…
NDA Mathematics 2015
NDA 2015
Mathematics
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In solving a problem that reduces to a quadratic equation, one student makes a mistake in the constant term and…
NDA Mathematics 2015
NDA 2015
Mathematics
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Consider the following statements in respect of the given equation : (x² + 2)² + 8x² − 6x(x² + 2) 1.All…
NDA Mathematics 2015
NDA 2015