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AP EAPCET 2025
List of top Questions asked in AP EAPCET- 2025
Consider the following statements:
Statement-I: Lysine, arginine are essential and basic amino acids.
Statement-II: Leucine, phenyl alanine are non-essential and neutral amino acids.
Which of the following is correct?
AP EAPCET - 2025
AP EAPCET
Chemistry
Amino Acids
Which set of elements form electron-precise hydrides?
AP EAPCET - 2025
AP EAPCET
Chemistry
Acids and Bases
At 25 \(^{\circ}\)C, \( K_a \) of acetic acid is \( 1.8 \times 10^{-5} \). What is the percentage of ionization of 0.02 M acetic acid at this temperature?
AP EAPCET - 2025
AP EAPCET
Chemistry
Law Of Chemical Equilibrium And Equilibrium Constant
At 298 K, the value of K\(_p\) for N\(_2\)O\(_4\)(g) \(\rightleftharpoons\) 2NO\(_2\)(g) is 0.113 atm. The partial pressure of N\(_2\)O\(_4\) at equilibrium is 0.2 atm. What is the partial pressure (in atm) of NO\(_2\) at equilibrium ?
AP EAPCET - 2025
AP EAPCET
Chemistry
Law Of Chemical Equilibrium And Equilibrium Constant
The minimum value of \( |z - 1| + |z - 5| \) is:
AP EAPCET - 2025
AP EAPCET
Mathematics
Functions
Given \(f(x) = x^2 - 5x + 4\). Out of first 20 natural numbers, if a number \(x\) is chosen at random, then the probability that the chosen \(x\) satisfies the inequality \(f(x)>10\) is
AP EAPCET - 2025
AP EAPCET
Mathematics
Probability
If all possible 4-digit numbers are formed by choosing 4 different digits from the given digits $ 1, 2, 3, 5, 8 $, then the sum of all such 4-digit numbers is:
AP EAPCET - 2025
AP EAPCET
Mathematics
permutations and combinations
If the roots of the quadratic equation \( 2x^2 - 4x + k = 0 \) are real and equal, find the value of \( k \).
AP EAPCET - 2025
AP EAPCET
Mathematics
Quadratic Equations
If the surface area of a spherical bubble is increasing at the rate of 4 sq.cm/sec, then the rate of change in its volume (in cubic cm/sec) when its radius is 8 cms is
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
$\int \frac{\sin 2x}{\sin^2 x + 3 \cos x - 3} \, dx =$
Identify the correct option from the following:
AP EAPCET - 2025
AP EAPCET
Mathematics
Integration
At \( T \)(K), hydrogen and oxygen gases are mixed in the ratio of \( 1:2 \) by mass in a closed vessel of volume \( V \) litres. If the total pressure of the gaseous mixture is \( p \) atm, the partial pressure of oxygen (in atm) is:
AP EAPCET - 2025
AP EAPCET
Chemistry
Thermodynamics
If a solid sphere is rolling without slipping on a horizontal plane, then the ratio of its rotational and total kinetic energies is
AP EAPCET - 2025
AP EAPCET
Physics
Kinetic Energy
An aeroplane flying horizontally with a speed of 720 kmph at an altitude of 490 m drops a bomb when it is just vertically above a target. The horizontal distance between the target and the point where the bomb strikes the ground is
AP EAPCET - 2025
AP EAPCET
Physics
Kinematics
If an electron in the excited state falls to ground state, a photon of energy 5 eV is emitted, then the wavelength of the photon is nearly
AP EAPCET - 2025
AP EAPCET
Physics
Nuclear physics
If three particles of each charge \( +q \) are placed at the three vertices of an equilateral triangle of side \( \sqrt{3}r \), then the net electric field at the centroid of the triangle is:
AP EAPCET - 2025
AP EAPCET
Physics
Electrostatics
The logic gate equivalent to the circuit shown in the figure is:
AP EAPCET - 2025
AP EAPCET
Physics
Transistors
If g is the inverse of the function f(x) and \( g(x) = x + \tan x \) then, \( f'(x) = \)
AP EAPCET - 2025
AP EAPCET
Mathematics
Differential Equations
For an observer on the earth, if a spectral line of wavelength $6600~\mathring{A
$ emitted by a star is found to be redshifted by $22~\mathring{A}$, then the star is}
AP EAPCET - 2025
AP EAPCET
Physics
Polarization
If \[ \int \frac{dx}{(x \tan x + 1)^2} = f(x) + c, \] then \(\lim_{x \to \frac{\pi}{2}} f(x)\) is?
AP EAPCET - 2025
AP EAPCET
Mathematics
Integration
If $X$ is a binomial variate with mean $\frac{16}{5}$ and variance $\frac{48}{25}$, then $P(X \leq 2) =$
AP EAPCET - 2025
AP EAPCET
Mathematics
Probability
Consider the following statements
Statement-I:
A function \( f: A \rightarrow B \) is said to be one-one if and only if \[ f(x) = f(y) \Rightarrow x = y \]
Statement-II:
A relation \( f: A \rightarrow B \) is said to be a function if \[ x = y \Rightarrow f(x) \neq f(y) \]
Then which one of the following is true?
AP EAPCET - 2025
AP EAPCET
Mathematics
Functions
Evaluate: \( \int_0^{400\pi} \sqrt{1 - \cos 2x} \, dx \)
AP EAPCET - 2025
AP EAPCET
Mathematics
Calculus
If \(x^2 + y^2 = 25\) and \(xy = 12\), then what is the value of \(x^4 + y^4\)?
AP EAPCET - 2025
AP EAPCET
Mathematics
Algebra
Among the following compounds, which one is not responsible for the depletion of ozone layer?
AP EAPCET - 2025
AP EAPCET
Chemistry
Inorganic chemistry
Match the following pollutant concentration limits in water with their effects:
List-I (Pollutant Concentration Limit in Water)
List-II (Effect)
Pollutant 1
Effect 1
Pollutant 2
Effect 2
Pollutant 3
Effect 3
Pollutant 4
Effect 4
AP EAPCET - 2025
AP EAPCET
Chemistry
Inorganic chemistry
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