Question Library
Browse our collection of questions across various subjects
Mathematics
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The smallest positive integer n for which ( (1+i)/(1-i) )ⁿ = 1, is
NDA Mathematics 2017
NDA 2017
Mathematics
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A person is to count 4500 notes. Let aₙ denote the number of notes he counts in the nth minute.…
NDA Mathematics 2017
NDA 2017
Mathematics
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If a, b, c are non-zero real numbers, then the inverse of the matrixA = [a 0 0] [0 b…
NDA Mathematics 2017
NDA 2017
Mathematics
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In the expansion of (1+x)⁵⁰, the sum of the coefficients of odd powers of x is
NDA Mathematics 2017
NDA 2017
Mathematics
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The number of terms in the expansion of (x+a)¹⁰⁰ + (x-a)¹⁰⁰ after simplification is
NDA Mathematics 2017
NDA 2017
Mathematics
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The value of the determinant| cos²(θ/2) sin²(θ/2) || sin²(θ/2) cos²(θ/2) |for all values of θ, is
NDA Mathematics 2017
NDA 2017
Mathematics
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The value of the product (6½ × 6¼ × 6⅛ × 6¹⁶ × … up to infinite terms) is
NDA Mathematics 2017
NDA 2017
Mathematics
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It is given that the roots of the equation x² – 4x – log₃P = 0 are real. For this,…
NDA Mathematics 2017
NDA 2017
Mathematics
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The sum of all real roots of the equation |x-3|² + |x-3|-2 = 0 is
NDA Mathematics 2017
NDA 2017
Mathematics
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If A = [4i-6 10i] [14i 6+4i] and k = 1/(2i), where i = √-1, then kA is equal to
NDA Mathematics 2017
NDA 2017
Mathematics
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How many different permutations can be made out of the letters of the word “PERMUTATION”?
NDA Mathematics 2017
NDA 2017
Mathematics
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If |a| denotes the absolute value of an integer, then which of the following are correct? 1. |ab| = |a||b|…
NDA Mathematics 2017
NDA 2017
Mathematics
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If α and β are the roots of the equation 1 + x + x² = 0, then the matrix…
NDA Mathematics 2017
NDA 2017
Mathematics
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If A = {x : x is a multiple of 2}, B = {x : x is a multiple of…
NDA Mathematics 2017
NDA 2017
Mathematics
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If E is the universal set and A = B ∪ C then the set E – (E – (E…
NDA Mathematics 2017
NDA 2017
Mathematics
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The roots of the equation (q-r)x² + (r-p)x + (p-q) = 0 are
NDA Mathematics 2017
NDA 2017
Mathematics
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If Sₙ = nP + n(n-1)Q/2, where Sₙ denotes the sum of the first n terms of an AP, then…
NDA Mathematics 2017
NDA 2017
Mathematics
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The matrix A has x rows and x+5 columns. The matrix B has y rows and 11-y columns. Both AB…
NDA Mathematics 2017
NDA 2017
Mathematics
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The remainder and the quotient of the binary division (101110)₂ ÷ (110)₂ are respectively
NDA Mathematics 2017
NDA 2017