Previous 10 Questions — AMU MCA 2025
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The following system of equations:$2x_1 + x_2 - x_3 = 2$$3x_1 + 2x_2 + x_3 = 3$has:
Topic: AMU MCA 2025
Condition that the plane $lx + my + nz = p$ should touch the ellipsoid
$\frac{x^2}{a^2} + \frac{y^2}{b^2} + \frac{z^2}{…
Topic: AMU MCA 2025
In simple random sampling without replacement, the probability that a specified unit of the population will be included…
Topic: AMU MCA 2025
The equation $yz + zx + xy = 0$ represents:
Topic: AMU MCA 2025
Simpson’s one-third rule for evaluation of $\int_a^b f(x),dx$ requires the interval $[a,b]$ to be divided into:
Topic: AMU MCA 2025
The Newton–Raphson method converges fast, if $f'(\alpha)$ is:
($\alpha$ is the exact value of the root)
Topic: AMU MCA 2025
Optimal value of the following LPP:Max $z = 2x_1 + 3x_2$Subject to $6x_1 + 5x_2 \le 25$ …
Topic: AMU MCA 2025
Three identical fair dice are thrown independently. Let $Y$ denote the number of dice showing even numbers on their upp…
Topic: AMU MCA 2025
The intrinsic equation of the catenary $y = C \cosh \frac{x}{C}$ is:
Topic: AMU MCA 2025
Let $f(x,y) = \sqrt{|xy|}$, then the value of $f_x(0,0)$ and $f_y(0,0)$ is:
Topic: AMU MCA 2025
Next 10 Questions — AMU MCA 2025
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A discrete random variable follows Poisson distribution with parameter $3$. The value of $E(X-6)^2$ is:
Topic: AMU MCA 2025
Let $X$ be a random variable having distribution function $F(x)$. Then which of the following statements may not be tru…
Topic: AMU MCA 2025
Which of the following statements is not true?
Topic: AMU MCA 2025
Let $X$ be a continuous random variable such that $E|X| < \infty$ and
$P\left(X \ge \frac12 + x\right) = P\left(X \le …
Topic: AMU MCA 2025
A discrete random variable $X$ taking non-negative values has the following moment generating function
$M_X(t) = e^{2(…
Topic: AMU MCA 2025
Max $z = 6x_1 - x_2$Subject to$2x_1 - x_2 \le 2$$x_1 \le 3$$x_1, x_2 \ge 0$The above LPP has:
Topic: AMU MCA 2025
The Laplace transform of $\sin \sqrt{x}$ is:
Topic: AMU MCA 2025
The solution of the differential equation
$y\sin 2x,dx - (y^2 + \cos^2 x),dy = 0$ is:
Topic: AMU MCA 2025
The solution of
$3\frac{\partial^2 z}{\partial x,\partial y} - 2\frac{\partial^2 z}{\partial y^2} - \frac{\partial z}{\…
Topic: AMU MCA 2025
The sampling scheme in which only first unit is selected randomly is known as:
Topic: AMU MCA 2025
