List of top Questions asked in AP EAPCET- 2025

The voltage gains of two amplifiers connected in series are 8 and 12.5. If the voltage of the input signal is 200 \(\mu V\), then the voltage of the output signal is
If the sum of heights of transmitting and receiving antennas in line of sight communication is \(h\), then the height of receiving antenna, to have the range maximum is
If the function \(y = \sin(x)(1 - \cos x)\) is defined in the interval \([-\pi, \pi]\), then y is strictly increasing in the interval
The general solution of the differential equation \((x+2y)^3\frac{dy}{dx} = y = 0, y>0\) is
A body of mass $1~\text{kg$ is attached to the lower end of a vertically suspended spring of force constant $600~\text{N/m}$. If another body of mass $0.5~\text{kg}$ moving vertically upward hits the suspended body with a velocity $3~\text{m/s}$ and is embedded in it, then the frequency of the oscillation is}
A plane EM wave of frequency $25~\text{MHz}$ propagates in vacuum. If electric field is $6.3~\text{V/m}$, then magnitude of magnetic field is
If \( z \) is a complex number such that \( \frac{z-1}{z-i} \) is purely imaginary and the locus of \( z \) represents a circle with center \( (\alpha, \beta) \) and radius \( r \), then the value of \( \frac{\alpha}{\beta} + \frac{\beta}{\alpha} \) is:
If \( \overline{a} \) is a unit vector, then \( |\overline{a} \times \overline{i}|^2 + |\overline{a} \times \overline{j}|^2 + |\overline{a} \times \overline{k}|^2 = \)
If \(\alpha\) is the angle made by the perpendicular drawn from origin to the line \(12x - 5y + 13 = 0\) with the positive X-axis in anti-clockwise direction, then \(\alpha =\)
If two progressive sound waves represented by \( y_1 = 3 \sin 250 \pi t \) and \( y_2 = 2 \sin 260 \pi t \) (where displacement is in metre and time is in second) superimpose, then the time interval between two successive maximum intensities is

If the probability distribution of a random variable X is as follows, then the mean of X is

X = xi-1012
P(X = xi)k32k3 + k4k - 10k24k - 1
If the normal drawn to the hyperbola \( xy = 16 \) at (8, 2) meets the hyperbola again at a point \((\alpha, \beta)\), then \( |\beta| + \frac{1}{|\alpha|} = \)
What is the indicator used in Argentometric titrations?
The points in the Argand plane represented by the complex numbers \(4\hat{i}+3\hat{j}\), \(6\hat{i}-2\hat{j}-3\hat{k}\) and \(\hat{i}-\hat{j}-3\hat{k}\) form
There are three families \( F_1, F_2, F_3 \). \( F_1 \) has 2 boys and 1 girl; \( F_2 \) has 1 boy and 2 girls; \( F_3 \) has 1 boy and 1 girl. A family is randomly chosen and a child is chosen from that family randomly. If it is known that the child is a girl, the probability that she is from \( F_3 \) is
A conveyor belt is moving horizontally with a velocity of \( 2 \, \text{m s}^{-1} \). If a body of mass 10 kg is kept on it, then the distance travelled by the body before coming to rest is (The coefficient of kinetic friction between the belt and the body is 0.2 and acceleration due to gravity is \( 10 \, \text{m s}^{-2} \))
If the threshold wavelength of light for photoelectric emission to take place from a metal surface is \( 6250 \, \text{\AA} \), then the work function of the metal is (Planck's constant \( = 6.6 \times 10^{-34} \, \text{Js} \))
If the coefficients of $x^{10$ and $x^{11}$ in the expansion of $(1 + \alpha x + \beta x^2)(1+x)^{11}$ are 396 and 144 respectively, then $\alpha^2 + \beta^2 =$}
Three letters are chosen at random from the letters of the word VARIABLE and all possible three-letter words (with or without meaning) are formed with them. Then the probability of getting a three-letter word having a consonant as its middle letter is:
The equations of the asymptotes of a hyperbola are \( x+y+3=0 \), \( 2x-y+1=0 \). If \( (1,-2) \) is a point on this hyperbola, then the equation of its conjugate hyperbola is:
The amphoteric oxide of Vanadium (V) reacts with alkali and forms an oxoion \( X \) and with acid forms an oxoion \( Y \). The oxidation states of \( V \) in \( X \) and \( Y \) are respectively:
An aeroplane is flying at a constant speed, parallel to the horizontal ground at a height of 5 kms. A person on the ground observed that the angle of elevation of the plane is changed from \(15^\circ\) to \(30^\circ\) in the duration of 50 seconds, then the speed of the plane (in kmph) is
The length and area of cross-section of a copper wire are respectively 30 m and \( 6 \times 10^{-7} \, \text{m}^2 \). If the resistivity of copper is \( 1.7 \times 10^{-8} \, \Omega \, \text{m} \), then the resistance of the wire is
If \(1, \omega, \omega^2\) are the cube roots of unity, then \( \left(1\left(2+\frac{1}{\omega}\right)\left(2+\frac{1}{\omega^2}\right) + 2\left(3+\frac{1}{\omega}\right)\left(3+\frac{1}{\omega^2}\right) + 3\left(4+\frac{1}{\omega}\right)\left(4+\frac{1}{\omega^2}\right) + \dots + 10 \text{ terms}\right) = \)
If 3 sisters and 8 brothers are together playing a game, then the number of ways in which all the sisters and brothers are to be seated around a circle such that all the three sisters are not seated together is