A box contains tickets numbered $1$ to $N$. Let $X$ be the largest number drawn in $n$ random drawings with replacement. Then the probability $P(X = k)$ is:
Previous 10 Questions — AMU MCA 2025
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Which of the following is true?
Topic: AMU MCA 2025
The ring $Z[\sqrt{3}] = {a + b\sqrt{3} ; a,b \in Z}$
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$ \lim_{x→0} (cosec x)^{1/log x} $
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Let $X_1, X_2, … , X_n$ be i.i.d. random variables having pdf
$f(x) = (1/θ) e^{-x/θ},; 0 < x < ∞,; θ > 0$
The cdf of …
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Which of the following is a 2-dimensional subspace of $\mathbb{R}^3$?
Topic: AMU MCA 2025
Let $T:\mathbb{R}^4 \rightarrow \mathbb{R}^3$ be a linear transformation defined by
$T(x_1,x_2,x_3,x_4)=C(x_1-x_2,;x_2…
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An integrating factor of
$\frac{dy}{dx} = \frac{1}{3x + y^2 + 2}$ is:
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The sampling scheme in which only first unit is selected randomly is known as:
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The solution of
$3\frac{\partial^2 z}{\partial x,\partial y} - 2\frac{\partial^2 z}{\partial y^2} - \frac{\partial z}{\…
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The solution of the differential equation
$y\sin 2x,dx - (y^2 + \cos^2 x),dy = 0$ is:
Topic: AMU MCA 2025
Next 10 Questions — AMU MCA 2025
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At point ‘A’ on a roller-coaster as shown in figure, a 150 kg car is traveling at 13 m/s and is 3 m above the ground. T…
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A particle of rest mass $m_0$ moves initially with velocity $0.6c$ and finally with $0.8c$. The product of initial and …
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A circular hole of radius 1 m is cut from a disc of radius 6 m. The centre of the hole is 3 m from the disc’s centre. T…
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In a series LCR circuit with $R=2.5,k\Omega$, $C=4,\mu F$, voltage across $R$ is 250 V at resonance. Find voltage acros…
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The dimensions of electric flux / magnetic flux are the same as that of:
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The rms and average value of the waveform shown are respectively:
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In a circuit, maximum power is transferred from a source of resistance $R_i$ to a load resistance $R_L$ when:
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For the following network, the maximum power absorbed by $R_L$ is:
(60 V source with series resistance 6 Ω)
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The state of polarization of the wave
$\vec{E}(z,t)=E_0[\hat{i}\sin(kz-\omega t)-\hat{j}\cos(kz-\omega t)]$ is:
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What will be the thickness of a quarter-wave plate when the wavelength of light is 5890 Å and
$\mu_E = 1.553,; \mu_O = …
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