List of top Questions asked in AP EAPCET- 2025

In compound (X), hyperconjugation is present and in (Y), resonance effect is present. What are X and Y, respectively?
IUPAC names of mesityl oxide and oxalic acid are respectively:
IUPAC names of mesityl oxide and oxalic acid are respectively:
If the velocity of a particle moving on a straight line is proportional to the cube root of its displacement, then its acceleration is
A particle is executing simple harmonic motion starting from its mean position. If the time period of the particle is 1.5 s, then the minimum time at which the ratio of the kinetic and total energies of the particle becomes 3:4 is
If \( \int x^2 \cos^3 x\, dx = \frac{1}{6}f(x) + g(x) \sin 2x + h(x) \cos 2x + c \), then \( f(1) + g(2) + h\left(\frac{1}{2}\right) = \)
If the intercepts made by a variable circle on the X-axis and Y-axis are 8 and 6 units respectively, then the locus of the center of the circle is:
\(\int \frac{\sqrt{x - 2}}{2x + 4} \, dx =\)
If $-\frac{2}{3}<x<\frac{2}{3}$, then the value of the $5^{th}$ term in the expansion of $\frac{1}{\sqrt{2-3x}}$ when $x = \frac{1}{2}$ is
An eight digit number divisible by 9 is to be formed using digits from 0 to 9 without repeating the digits. The number of ways in which this can be done is
If the intercept of a line \(L\) made between the straight lines \(5x - y - 4 = 0\) and \(3x + 4y - 4 = 0\) is bisected at the point (1, 5), then the equation of \(L\) is
What is the distance between the points $(3, -2)$ and $(-1, 4)$?
Identify the correct statements from the following:
I) Isotopes of an element show different chemical behaviour
II) Lyman series of lines of hydrogen spectrum appear in UV region
III) The oscillating electric and magnetic field components of electromagnetic radiation are perpendicular to each other and both are perpendicular to the direction of propagation of radiation
At T(K), adsorption of a gas on surface of a solid follows Freundlich adsorption isotherm. A graph of \( \log \left( \frac{x}{m} \right) \) (on y-axis) and \( \log p \) (on x-axis) for this gas gave a straight line with slope = 2 and intercept = 1.5. What is the value of n ?
The coefficient of $x^{10}$ in the expansion of $\left(x + \frac{2}{x} - 5 \right)^{12}$ is
The number of electrons with magnetic quantum number $m = 0$ in the elements with atomic numbers $Z = 24$ and $Z = 29$ are respectively
If \( \alpha \) is the common root of the quadratic equations \( x^2 - 5x + 4a = 0 \) and \( x^2 - 2ax - 8 = 0 \), where \( a \in \mathbb{R} \), then the value of \( \alpha^4 - \alpha^3 + 68 \) is:
The angle between the tangents drawn from point (1, 4) to parabola \(y^2 = 4x\) is
To dissociate a molecule into its component atoms, the energy required is 13.2 eV. The frequency of the electromagnetic radiation corresponding to this energy lies in the:
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
If the displacement \( y \) (in cm) of a particle executing simple harmonic motion is given by the equation: \[ y = 5 \sin(3 \pi t) + 5 \sqrt{3} \cos(3 \pi t) \] then the amplitude of the particle is:

Calculate the boiling point of a solution containing 18 g of glucose (C\(_6\)H\(12\)O\(_6\)) in 100 g of water. (K₋b = 0.52°C·kg/mol, Molar mass of glucose = 180 g/mol)

If an electric bulb is rated at 50 W for a 220 V ac supply, then the resistance of the bulb and the peak voltage of the ac source are respectively:
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}
The upper end of a wire of length 5 m is fixed to the ceiling and a 20 kg mass is attached at its lower end. If the wire makes an angle $60^\circ$ with the horizontal, then the moment of force due to gravity to the upper end of the wire is: (Acceleration due to gravity = 10 m s$^{-2}$)