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Marks Physics Mathematics 10 – 20 8 10 20 – 30 11 21 30 – 40 30 38 40 –…
NDA Mathematics 2020
NDA 2020
Mathematics
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What is the integral of f(x) = 1 + x² + x⁴ with respect to x²?
NDA Mathematics 2021
NDA 2021
Mathematics
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Marks Physics Mathematics 10 – 20 8 10 20 – 30 11 21 30 – 40 30 38 40 –…
NDA Mathematics 2020
NDA 2020
Mathematics
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What is the slope of the tangent of y = cos⁻¹(cos x) at x = −π/4?
NDA Mathematics 2021
NDA 2021
Mathematics
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What is the range of the function f(x) = 1 − sin x defined on entire real line?
NDA Mathematics 2021
NDA 2021
Mathematics
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Marks Physics Mathematics 10 – 20 8 10 20 – 30 11 21 30 – 40 30 38 40 –…
NDA Mathematics 2020
NDA 2020
Mathematics
Easy
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Consider the following statements in respect of the function f(x) = sin(1/x²), x ≠ 0 : 1. It is continuous…
NDA Mathematics 2021
NDA 2021
Mathematics
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A data set of n observations has mean 2M, while another data set of 2n observations has mean M. What…
NDA Mathematics 2020
NDA 2020
Mathematics
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If f(x) = [x]/|x|, x ≠ 0, where [.] denotes the greatest integer function, then what is the right-hand limit…
NDA Mathematics 2021
NDA 2021
Mathematics
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The sum of deviations of n number of observations measured from 2·5 is 50. The sum of deviations of the…
NDA Mathematics 2020
NDA 2020
Mathematics
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Consider the following statements in respect of f(x) = |x| − 1 : 1. f(x) is continuous at x =…
NDA Mathematics 2021
NDA 2021
Mathematics
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If P(A ∪ B) = 5/6, P(A ∩ B) = 1/3 and P(not A) = 1/2, then which one of…
NDA Mathematics 2020
NDA 2020
Mathematics
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If three dice are rolled under the condition that no two dice show the same face, then what is the…
NDA Mathematics 2020
NDA 2020
Mathematics
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The numbers 4 and 9 have frequencies x and (x – 1) respectively. If their arithmetic mean is 6, then…
NDA Mathematics 2020
NDA 2020
Mathematics
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What is lim (n → ∞) (aⁿ + bⁿ) / (aⁿ − bⁿ), where a > b > 1, equal…
NDA Mathematics 2021
NDA 2021
Mathematics
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Let l be the length and b be the breadth of a rectangle such that l + b = k.…
NDA Mathematics 2020
NDA 2020
Mathematics
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Let f(x) be a polynomial function such that f ∘ f(x) = x⁴. What is f′(1) equal to?
NDA Mathematics 2021
NDA 2021
Mathematics
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If y = cos x · cos 4x · cos 8x, then what is (1/y) (dy/dx) at x = π/4…
NDA Mathematics 2021
NDA 2021
Mathematics
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If y = (1 + x)(1 + x²)(1 + x⁴)(1 + x⁸)(1 + x¹⁶) then what is dy/dx at x…
NDA Mathematics 2021
NDA 2021