Question Library
Browse our collection of questions across various subjects
Mathematics
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What is the sum of n terms of the series √2 + √8 + √18 + √32 + …. ?
NDA Mathematics 2015
NDA 2015
Mathematics
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The number of ways in which 3 holiday tickets can be given to 20 employees of an organization if each…
NDA Mathematics 2015
NDA 2015
Mathematics
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If p = tan(-11π/6), q = tan(21π/4) and r = cot(283π/6), then which of the following is/are correct ? 1.…
NDA Mathematics 2015
NDA 2015
Mathematics
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Consider a triangle ABC satisfying 2a sin²(C/2) + 2c sin²(A/2) = 2a + 2c – 3b. The sides of the…
NDA Mathematics 2015
NDA 2015
Mathematics
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If p, q, r are in one geometric progression and a, b, c are in another geometric progression, then ap,…
NDA Mathematics 2015
NDA 2015
Mathematics
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A polygon has 44 diagonals. The number of its sides is
NDA Mathematics 2015
NDA 2015
Mathematics
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The rth term of an A.P. is (3+n)/4, then the sum of first 105 terms is
NDA Mathematics 2015
NDA 2015
Mathematics
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The sum of the coefficients of all the terms in the expansion is
NDA Mathematics 2015
NDA 2015
Mathematics
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The average of the coefficients of the two middle terms in the expansion is
NDA Mathematics 2015
NDA 2015
Mathematics
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Consider the expansion of (1 + x)²ⁿ⁺¹. If the coefficients of xʳ and xʳ⁺¹ are equal in the expansion, then…
NDA Mathematics 2015
NDA 2015
Mathematics
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A vertical tower standing on a levelled field is mounted with a vertical flag staff of length 3 m. From…
NDA Mathematics 2015
NDA 2015
Mathematics
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If sin x + sin y = a and cos x + cos y = b, then tan²((x+y)/2) + tan²((x-y)/2)…
NDA Mathematics 2015
NDA 2015
Mathematics
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If the point z₁ = 1 + i where i = √-1 is the reflection of a point z₂ =…
NDA Mathematics 2015
NDA 2015
Mathematics
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If a, b, c are real numbers, then the value of the determinant| -a -b -c b+c || -b b…
NDA Mathematics 2015
NDA 2015
Mathematics
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If a, b, c are the sides of a triangle ABC, then aᵖ + bᵖ – cᵖ where p >…
NDA Mathematics 2015
NDA 2015
Mathematics
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If A is an orthogonal matrix of order 3 and B = [1 2 3; -3 0 2; 2 5…
NDA Mathematics 2015
NDA 2015
Mathematics
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Consider the following : 1. sin⁻¹(4/5) + sin⁻¹(3/5) = π/2 2. tan⁻¹√3 + tan⁻¹1 = -tan⁻¹(2+√3) Which of the above…
NDA Mathematics 2015
NDA 2015
Mathematics
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If g(x) = 1/f(x) and f(x) = x, x ≠ 0, then which one of the following is correct ?
NDA Mathematics 2015
NDA 2015
Mathematics
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If the sum of the roots of the equation ax² + bx + c = 0 is equal to the…
NDA Mathematics 2015
NDA 2015