Question Library
Browse our collection of questions across various subjects
Mathematics
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If a coin is tossed till the first head appears, then what will be the sample space?
NDA Mathematics 2019
NDA 2019
Mathematics
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The mean of 5 observations is 4.4 and variance is 8.24. If three of the five observations are 1, 2…
NDA Mathematics 2019
NDA 2019
Mathematics
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The class marks in a frequency table are given to be 5, 10, 15, 20, 25, 30, 35, 40, 45,…
NDA Mathematics 2019
NDA 2019
Mathematics
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For the variables x and y, the two regression lines are 6x + y = 30 and 3x + 2y…
NDA Mathematics 2019
NDA 2019
Mathematics
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Consider the function f(x) = g(x) + h(x)where g(x) = sin(x/4) and h(x) = cos(4x/5) What is the period of…
NDA Mathematics 2019
NDA 2019
Mathematics
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If p and q are the roots of the equation x² – 30x + 221 = 0, what is the…
NDA Mathematics 2019
NDA 2019
Mathematics
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Arithmetic mean of 10 observations is 60 and sum of squares of deviations from 50 is 5000. What is the…
NDA Mathematics 2019
NDA 2019
Mathematics
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The median of the observations 22, 24, 33, 37, x + 1, x + 3, 46, 47, 57, 58 in…
NDA Mathematics 2019
NDA 2019
Mathematics
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A bag contains 20 books out of which 5 are defective. If 3 of the books are selected at random…
NDA Mathematics 2019
NDA 2019
Mathematics
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A coin is biased so that heads comes up thrice as likely as tails. For three independent tosses of a…
NDA Mathematics 2019
NDA 2019
Mathematics
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If f(x) = x³/3 – 5x²/2 + 6x + 7 increases in the interval T and decreases in the interval…
NDA Mathematics 2019
NDA 2019
Mathematics
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What is the area of the region enclosed between the curve y² = 2x and the straight line y =…
NDA Mathematics 2019
NDA 2019
Mathematics
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For what value of k is the function ⎧ 2x + 1/4 , x < 0f(x) = ⎨ k , x…
NDA Mathematics 2019
NDA 2019
Mathematics
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What is the derivative of 2^(sin x)² with respect to sin x ?
NDA Mathematics 2019
NDA 2019
Mathematics
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The differential equation which represents the family of curves given by tan y = c(1 – eˣ) is
NDA Mathematics 2019
NDA 2019
Mathematics
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Consider the integralsI₁ = ∫₀^π x dx / (1 + sin x) and I₂ = ∫₀^π (π – x) dx…
NDA Mathematics 2019
NDA 2019
Mathematics
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Consider the integralsI₁ = ∫₀^π x dx / (1 + sin x) and I₂ = ∫₀^π (π – x) dx…
NDA Mathematics 2019
NDA 2019
Mathematics
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Let f(x) = x² + 2x – 5 and g(x) = 5x + 30 If h(x) = 5f(x) – xg(x),…
NDA Mathematics 2019
NDA 2019
Mathematics
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Let f(x) = x² + 2x – 5 and g(x) = 5x + 30 Consider the following statements : 1.…
NDA Mathematics 2019
NDA 2019
Mathematics
Easy
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Let f(x) = x² + 2x – 5 and g(x) = 5x + 30 What are the roots of the…
NDA Mathematics 2019
NDA 2019