Question Library
Browse our collection of questions across various subjects
Mathematics
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If a, b, c are in HP, then what is b – 1/a + b – 1/c equal to?
NDA Mathematics 2024
NDA 2024
Mathematics
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If two random variables X and Y are connected by relation 2X – 3Y = 4 and X follows Binomial…
NDA Mathematics 2024
NDA 2024
Mathematics
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Let x + 2y + 1 = 0 and 2x + 3y + 4 = 0 are two lines of…
NDA Mathematics 2024
NDA 2024
Mathematics
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From data (-4, 1), (-1, 2), (2, 7) and (3, 1), the regression line of y on x is obtained…
NDA Mathematics 2024
NDA 2024
Mathematics
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If a random variable (x) follows binomial distribution with mean 5 and variance 4, and 5²P(x = 3) = λ4²,…
NDA Mathematics 2024
NDA 2024
Mathematics
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A bag contains 5 black and 4 white balls. A man selects two balls at random. What is the probability…
NDA Mathematics 2024
NDA 2024
Mathematics
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Let 3f(x) +f(1/x) = 1/x + 1 What is ∫ f²(x) dx equal to?
NDA Mathematics 2024
NDA 2024
Mathematics
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Let 3f(x) +f(1/x) = 1/x + 1 What is f(x) equal to?
NDA Mathematics 2024
NDA 2024
Mathematics
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The circle x²+y2-2x = 0 is partitioned by line y=x in two segments. Let A1, A2 be the areas of…
NDA Mathematics 2024
NDA 2024
Mathematics
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The circle x²+y2-2x = 0 is partitioned by line y=x in two segments. Let A1, A2 be the areas of…
NDA Mathematics 2024
NDA 2024
Mathematics
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Let ∫ dx/√x+1=√x-1 = α(x+1)^3/2 + β(x-1)^3/2+c What is the value of β?
NDA Mathematics 2024
NDA 2024
Mathematics
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Let ∫ dx/√x+1=√x-1 = α(x+1)^3/2 + β(x-1)^3/2+c What is the value of α?
NDA Mathematics 2024
NDA 2024
Mathematics
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Let f(x)=|x – 1|, g(x)= [x] and h(x)= f(x)g(x) where [.] is greatest integer function. What is ∫₀¹ h(x) dx…
NDA Mathematics 2024
NDA 2024
Mathematics
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Let f(x)=|x – 1|, g(x)= [x] and h(x)= f(x)g(x) where [.] is greatest integer function. What is ∫₋¹⁰ h(x) dx…
NDA Mathematics 2024
NDA 2024
Mathematics
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A differentiable function f(x) has a local maximum at x = 0. Let y = 2f(x) + ax – b.…
NDA Mathematics 2024
NDA 2024
Mathematics
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A differentiable function f(x) has a local maximum at x = 0. Let y = 2f(x) + ax – b.…
NDA Mathematics 2024
NDA 2024
Mathematics
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Let ω'(a) = ∫ a+100x | sinx |dx What is ω'(a) equal to?
NDA Mathematics 2024
NDA 2024
Mathematics
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Let φ'(a) = ∫ a+100x | sinx |dx What is φ(a) equal to?
NDA Mathematics 2024
NDA 2024
Mathematics
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Let f(x)=|x| + 1 and g(x)=[x] − 1, where [.] is the greatest integer function. Let h(x) = f(x)/g(x) What…
NDA Mathematics 2024
NDA 2024
Mathematics
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Let f(x)=|x| + 1 and g(x)=[x] − 1, where [.] is the greatest integer function. Let h(x) = f(x)/g(x) Consider…
NDA Mathematics 2024
NDA 2024