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AP EAPCET
List of top Questions asked in AP EAPCET
The catalyst used for the isomerisation of n-alkanes to branched chain alkanes is:
AP EAPCET - 2025
AP EAPCET
Chemistry
Organic Chemistry
What are X and Y respectively, in the given set of reactions?
AP EAPCET - 2025
AP EAPCET
Chemistry
Organic Chemistry
In the following sequence of reactions, what is the end product (D)?
C$_2$H$_5$Br $\xrightarrow{\text{KCN}}$ A $\xrightarrow{\text{H$_3$O$^+$}}$ B $\xrightarrow{\text{LiAlH$_4$}}$ C $\xrightarrow{\text{Cu, 573 K}}$ D
AP EAPCET - 2025
AP EAPCET
Chemistry
Organic Chemistry
The most acidic carboxylic acid is:
AP EAPCET - 2025
AP EAPCET
Chemistry
Organic Chemistry
A carbonyl compound X(C$_5$H$_8$O) gives yellow precipitate with NaOI. Hemiacetal of X with methanol/dry HCl is:
AP EAPCET - 2025
AP EAPCET
Chemistry
Organic Chemistry
Three dice are thrown simultaneously and the sum of the numbers is noted. If A = getting sum greater than 14 and B = getting sum divisible by 3, then \(P(A \cap B) + P(A \cup B) =\)
AP EAPCET - 2025
AP EAPCET
Mathematics
Probability
Which of the following does not involve in Friedel-Crafts reaction?
AP EAPCET - 2025
AP EAPCET
Chemistry
Organic Chemistry
A problem in Algebra is given to two students A and B whose chances of solving it are \(\dfrac{2}{5}\) and \(\dfrac{3}{5}\) respectively. The probability that the problem is solved if both try independently is
AP EAPCET - 2025
AP EAPCET
Mathematics
Probability
A manufacturing company has 3 units A, B, and C which produce 25%, 35%, 40% of bulbs respectively. 5%, 4%, and 2% of their production is defective. If a bulb is found defective, the probability it came from B is
AP EAPCET - 2025
AP EAPCET
Mathematics
Probability
If all letters of the word COMBINATION are arranged to form 11-letter words with \( C \) and \( N \) at the ends and no vowel in the middle position, find the number of such words.
AP EAPCET - 2025
AP EAPCET
Mathematics
Number System
A centi molar solution of acetic acid is 50% dissociated at 27$^\circ$C. The osmotic pressure of the solution (in atm) is (R = 0.083 L atm K$^{-1}$ mol$^{-1}$)
AP EAPCET - 2025
AP EAPCET
Chemistry
Colligative Properties
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
At 300 K, vapour pressure of pure liquid A is 70 mm Hg. It forms an ideal solution with liquid B. Mole fraction of B = 0.2 and total vapour pressure of solution = 84 mm Hg. What is vapour pressure (in mm) of pure B?
AP EAPCET - 2025
AP EAPCET
Chemistry
Colligative Properties
If \( \int e^{\sin x}(1 + \sec x \tan x)\, dx = e^{\sin x}f(x) + c \), then in \( 0 \leq x \leq 2\pi \), the number of solutions of \( f(x) = 1 \) is
AP EAPCET - 2025
AP EAPCET
Mathematics
Integration
A car is moving with a velocity of $4~\text{m/s}$ towards east. After a time of $4~\text{s}$, it is heading north-east with a velocity of $4\sqrt{2}~\text{m/s}$. Then the average velocity of the car is
AP EAPCET - 2025
AP EAPCET
Physics
Rotational motion
Two bodies of masses $2~\text{kg}$ and $3~\text{kg}$ move at right angles with velocities $20~\text{m/s}$ and $10~\text{m/s}$ respectively.
Then the velocity of the centre of mass of the system is
AP EAPCET - 2025
AP EAPCET
Physics
Rotational motion
Which of the following statements are correct? (only correct)
I) The energy of hydrogen atom in its ground state is -13.6 eV.
II) On the basis of Bohr's model, the radius of the 3$^{rd}$ orbit of hydrogen atom is 158.7 pm.
III) The order of radius of the first orbit of H, He$^+$, Li$^{2+}$ and Be$^{3+}$ is H > He$^+$ > Li$^{2+}$ > Be$^{3+}$
AP EAPCET - 2025
AP EAPCET
Chemistry
Bohr’s Model for Hydrogen Atom
\( \int \frac{1 + x + \sqrt{x + x^2}}{\sqrt{x + \sqrt{1 + x}}} dx = \)
AP EAPCET - 2025
AP EAPCET
Mathematics
Integration
If \( \int \frac{dx}{(x-1)^2(x-3)^2
= \sqrt{f(x)} + c \), then \( f(-1) - f(0) = \)}
AP EAPCET - 2025
AP EAPCET
Mathematics
Integration
If \(P\) is a variable point which is at a distance of 2 units from the line \(2x - 3y + 1 = 0\) and \(\sqrt{13}\) units from the point (5, 6), then the equation of the locus of \(P\) is
AP EAPCET - 2025
AP EAPCET
Mathematics
Triangles
The ion with 4f$^7$ configuration is:
AP EAPCET - 2025
AP EAPCET
Chemistry
Nomenclature of Coordination Compounds
Domain of the real-valued function \(f(x) = \log(x^2 - 1) + x \, \coth^{-1}x\) is
AP EAPCET - 2025
AP EAPCET
Mathematics
Triangles
In amplitude modulation of waves, the maximum amplitude is $30~\text{mV}$ and minimum amplitude is $5~\text{mV}$, then the modulation index is
AP EAPCET - 2025
AP EAPCET
Physics
Amplitude Modulation
If the polynomial \( f(x) = x^4 + ax^3 + bx^2 + cx + d \) is divided by \( x - 1 \) and \( x + 1 \), the remainders are 5 and 3 respectively. If \( f(x) \) is divided by \( x^2 - 1 \), then the remainder is
AP EAPCET - 2025
AP EAPCET
Mathematics
Trigonometric Identities
The speed of a stationary wave represented by the equation $y = 0.75 \sin\left(\dfrac{7\pi}{4}x\right)\cos(350\pi t)$ is
AP EAPCET - 2025
AP EAPCET
Physics
Mechanics and wave Motion
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