List of top Questions asked in AP EAPCET- 2023

An ideal gas (X) present in a vessel of volume $ V $ exerted a pressure of 16.4 atm at 200 K. What is its concentration in mol $ L^{-1} $? % Given Data Given $ R = 0.082 \, \text{L atm mol}^{-1} \text{K}^{-1} $

The correct order of reactivity of the following towards nucleophilic addition reactions is: \[ \text{I. CH}_3\text{COCH}_3,\quad \text{II. CH}_3\text{CH}_2\text{CHO},\quad \text{III. ClCH}_2\text{CHO} \]

In the given pressure ($ P $) - absolute temperature ($ T $) graph of an ideal gas, the relation between volumes $ V_1, V_2, V_3, $ and $ V_4 $ is:

Which of the following has more pK$_a$ value?

Two particles of masses 1 g and 2 g move towards each other with velocities 10 m/s and 20 m/s respectively. The velocity of the centre of mass of the system of the two particles is

A 50 g ice cube at -10°C is added to 200 g of water at 30°C. The final temperature of the mixture is: (Specific heat of water = 1 cal g$^{-1}$°C$^{-1}$, latent heat of fusion of ice = 80 cal g$^{-1}$, specific heat of ice = 0.5 cal g$^{-1}$°C$^{-1}$)

The number of elements in the set $ S = \{x \in \mathbb{Z} : x^2 - 7x + 6 \le 0 \text{ and } x^2 - 3x>0 \} $ is

What are 'X' and 'Y' respectively in the following reaction sequence? \[ \ce{C6H5CH3→[X] C6H5CO2H →[Y] C6H5CH2OH} \]

Among the following, Ampere’s circuital law is represented by:

A metal wire with circular cross section and length one metre is pulled with tensile force of 1000 N on each side. For the wire to be stretched not more than 0.25 cm, the minimum diameter of the wire required is:
(Young's modulus of the metal $= 10^{11}$ \text{ Pa, take } $\sqrt{\pi} = 1.77$)

If \[ \frac{x + 2}{x^2 - 3} \text{ is one of the partial fractions of } \frac{3x^3 - x^2 - 2x + 17}{x^4 + x^2 - 12}, \text{ then the other partial fraction of it is:} \]

A cylindrical rod made of aluminum has length 1 meter and diameter of 10 cm. The rod is subjected to a tensile force of 100 kN. The elongation in the rod is:

$A(-2, 9)$ and $B(1, 6)$ are two points on the curve $y = x^2 + 5$. The coordinates of the point $C$ on the curve such that the tangent drawn at $A$ is parallel to the chord $BC$ is:

A function $ f(x) $ is defined as: \[ f(x) = \begin{cases} ax^2 + bx + c, & x \leq -1
2x^2 + 4x + 1, & -1<x<1
cx^2 + bx + a, & x \geq 1 \end{cases} \] If $ f(x) $ is continuous on $ \mathbb{R} $ and $ \lim_{x \to -\frac{3}{2}} f(x) = 14 $, then $ \lim_{x \to 2} f(x) = $:

Tangents are drawn from point $ (1, 1) $ to the ellipse $ x^2 + y^2 + 10x + 8y - 23 = 0 $. If $ m_1, m_2 $ (with $ m_1>m_2 $) are the slopes of these tangents, then with respect to the given ellipse, the point $ P(m_1, m_2) $ lies:

The particular solution of the differential equation \[ \frac{dx}{dy} = \frac{\sin y(1 + y \cot y)}{x \log(x^2 e)}, \quad y(1) = 0 \] Options:

If $ \frac{k}{kx + 3} + \frac{3}{3x-k}= \frac{12x + 5}{(kx + 3)(3x - k)} $, then both the roots of the equation $ kx^2 - 7x + 3 = 0 $ are:

If $ \int_{n}^{n+1} g(x) \, dx = n^2 $, $ \forall n \in Z $, then the value of $ \int_{-3}^{3} g(x) \, dx $ is

If $ A = \{ (a, b) : 4a = 5b, a \in \{1, 2, 3, \dots, 30\} \}, $ then the number of such ordered pairs $ (a, b) $ is:

If each of the observations $ x_1, x_2, \dots, x_n $ is increased or decreased by $ k $, where $ k $ is a positive number, then the variance of the data thus obtained:

Among the following, the correct statements are
I. CCl$_4$ is an electron-precise molecule
II. SnF$_4$, PbF$_4$ are ionic in nature
III. All tetrahalides of group 14 elements are easily hydrolyzed
IV. PbO, PbO$_2$ are amphoteric in nature

At T (K), a gaseous mixture containing H₂, He and O$_$2 exerted a pressure of 1 bar. The weight percentage of H$_$2 and He is 20 and 16 respectively. The partial pressure (in bar) of H$_$2, He and O$_$2 is respectively