TG EAPCET 2025 (Online) 4th May Morning Shift | TS EAMCET Year Wise Previous Years Questions

Chemistry

1. The radius of second orbit of hydrogen atom is same as that of orbit ( $n$ ) of an ion ( $x$ ), $n$ and $x$ are respecti 2. An electromagnetic radiation of wavelength 331.5 nm is made to strike the surface of a metal. Electrons are emitted with 3. Match the following$$ \begin{array}{llll} \hline & \text { List-I (Element) } & & \text { List-II (Block) } \\ \hline \t 4. In long form of periodic table an element ' $E$ ' has atomic number 78 . The period and group number of the element are 5. In which of the following options, the molecules are correctly arranged in the increasing order of their bond angles? 6. In which of the following the compounds are correctly arranged in the decreasing order of boiling points? 7. The force $(F)$ required to maintain the flow of layers of a liquid is equal to ( $A=$ area of contact of layers $d z=$ 8. $$ \begin{aligned} &\text { Consider the following redox reaction in basic medium. }\\ &\begin{aligned} x \mathrm{Cr}(\m 9. The entropy and enthalpy changes for the reaction $\mathrm{CO}(\mathrm{g})+\mathrm{H}_2 \mathrm{O}(\mathrm{g}) \rightlef 10. The volume of water required to dissolve $0.1 \mathrm{~g} \mathrm{PbCl}_2$ to get a saturated solution (in mL ) is (Give 11. 1 mL of " $x$ volume" $\mathrm{H}_2 \mathrm{O}_2$ solution on heating gives 20 mL of oxygen gas at STP. The $(w / v) \%$ 12. Identify the correct statement from the following I. LiF is less soluble in water than NaF II. Both LiCl and $\mathrm{Mg 13. The major ingredient $(51 \%)$ in Portland cement is 14. Boron trifluoride on reaction with lithium aluminium hydride in ether gives $\mathrm{LiF}^{\circ} \mathrm{AlF}_3$ and $X 15. Consider the following sequence of reaction $$ 2 \mathrm{CH}_3 \mathrm{Cl}+\mathrm{Si} \xrightarrow[573 \mathrm{~K}]{\ma 16. Which of the following is not the common component of photochemical smog? 17. Identify the compound $(Z)$ in the following reaction sequence 18. $$ \text { The correct IUPAC name of the following compound is } $$ 19. Which purification method is generally used for a high boiling organic liquid compound which decompose below its boiling 20. $$ \text { Match the following } $$ The correct answer is 21. Sodium metal crystallises in a body centred cubic lattice with edge length of $x \mathop {\rm{A}}\limits^{\rm{o}}$. If t 22. In a mixture of liquids $A$ and $B$, if the mole fractions of component $A$ in vapour phase and liquid mixture are $x_1$ 23. A current of 0.5 ampere is passed through molten $\mathrm{AlCl}_3$ for 96.5 seconds. The mass of aluminium deposited at 24. $R \rightarrow P$ is a first order reaction. For this reaction a graph of $\ln [R]$ (on $y$-axis) and time (on x -axis) 25. The correct statements about the properties of colloidal solutions are A. Tyndall effect is used to distinguish between 26. The ore of which metal is concentrated by leaching? 27. Arrange the following molecules in the correct order of their bond angles .tg {border-collapse:collapse;border-spacing: 28. What are the products formed when ammonium dichromate is thermally decomposed? 29. Sulphur dioxide on reaction with chlorine in the presence of charcoal gives compound $(A)$. This on reaction with white 30. In which of the following transition metal ion (aquated) is not correctly matched with its colour? 31. Which one of the following complex ions is diamagnetic in nature? 32. Polymer $X$ is an example of polyester and $Y$ is an example of polyamide $X$ and $Y$ are respectively 33. The general structure of alpha amino acid can be represented as Which amino acid is not correctly matched with $R$ given 34. Consider the following. Assertion (A) Aspirin is useful in the prevention of heart attacks. Reason (R) Aspirin acts as a 35. Chlorobenzene when subjected to fittig reaction gives a compound ' $X$ '. The sum of $\sigma$ and $\pi$ - bonds in $X$ i 36. Cumene on oxidation in air gives a compound, $X$. This on reaction with dilute acid gives $Y$ and $Z . Y$ reacts with so 37. The reaction of benzene with CO and HCl in the presence of anhydrous $\mathrm{AlCl}_3$ gives a compound $X \cdot X$ can 38. What is the product ' $Z$ ' in the given sequence of reactions? 39. $$ \text { The ratio of } \sigma \text { bonds to } \pi \text { bonds in } Q \text { is } $$ 40. What is the major product ' $Z$ ' in the given reaction sequence?

Mathematics

1. If $f(x)=x^2+b x+c$ and $f(1+k)=f(1-k) \forall k \in R$, for two real numbers $b$ and $c$ then 2. The domain of the real valued function $f(x)=\log _{\sqrt{2}}\left(\sqrt{x^2+x}+\sqrt{x^2-x}\right)$ is 3. $t_1, t_2, t_3, \ldots, t_n$ are positive integers, $S_n=t_1+t_2+t_3+\ldots+t_n$, $S_1=1^2, S_2=3^2, S_3=6^2, S_4=10^2, 4. If $x=\alpha, y=\beta, z=\gamma$ is the solution of the system of equations $2 x+3 y+z=-1,3 x+y+z=4$, $x-3 y-2 z=1$, the 5. The positive value of ' $a$ ' for which the system of linear homogeneous equations $x+a y+z=0, a x+2 y-z=0$, $2 x+3 y+z= 6. If $A=\left[\begin{array}{lll}1 & 2 & 2 \\ 2 & 1 & 1 \\ 1 & 2 & 1\end{array}\right]$ then $|\operatorname{adj}|\left(A^2 7. $K=\left|\begin{array}{cc}3 & 4 \\ 5 & 4\end{array}\right|+\left|\begin{array}{cc}1 & -1 \\ 5 & 4\end{array}\right|+\lef 8. $$ \left(\frac{1+i}{1-i}\right)^{228}= $$ 9. Let $z=x+i y$ represent a point of $P(x, y)$ in the argand plane. If $z$ satisfies the condition that amplitude of $\fra 10. $$ (1-i \sqrt{3})^{2025}= $$ 11. One of the roots of the equation $(x+1)^4+81=0$ is 12. If $\alpha, \beta$ are the roots of the equation $x^2+3 x+k=0$ and $\alpha+\frac{1}{\alpha}, \beta+\frac{1}{\beta}$ are 13. If $f(x)$ is a second degree polynomial such that $f(x) \geq 0 \forall x \in R, f(-3)=0$ and $f(0)=18$, then $f(3)=$ 14. If one of the roots of the equation $6 x^3-25 x^2+2 x+8=0$ is an integer and $\alpha>0, \beta 15. If $\alpha, \beta, \gamma, \delta$ and $\varepsilon$ are the roots of the equation $x^5+x^4-13 x^3-13 x^2+36 x+36=0$ and 16. 5 boys and 5 girls have to sit around a table. The number of ways in which all of them can sit so that no two boys and n 17. All possible words (with or without meaning) the contain the word 'GENTLE' are formed using all the letters of the word 18. $$ { }^{20} P_5-{ }^{19} P_5= $$ 19. If $C_0, C_1, C_2, \ldots, C_{10}$ represent the binomial coefficients in the expansion of $(1+x)^{10}$, then $$ C_0 C_6 20. When $|x| 21. If $\frac{x+1}{x^3(x-1)}=\frac{a}{x}+\frac{b}{x^2}+\frac{c}{x^3}+\frac{d}{x-1}$, then 22. If $\cos \theta+\sin \theta=\sqrt{2} \cos \theta$ and $0 23. If $0 \leq A, B \leq \frac{\pi}{4}$ and $\cot A+\cot B+\tan A+ \tan B=\cot A \cot B-\tan A \tan B$, then $\sin (A+B)=$ 24. If the extreme values of the function $f(x)=(2 \sqrt{6}+1) \cos x+(2 \sqrt{2}-\sqrt{3}) \sin x-6$ are $m$ and $M$ then $ 25. Number of solutions of the equation $\tan ^2 x+3 \cot ^2 x=2 \sec ^2 x$ lying in the interval $[0,2 \pi]$ is 26. $$ \sin ^{-1}(-\cos 2)+\cos ^{-1}(\sin 3)+\tan ^{-1}(\cot 5)= $$ 27. If $x=\log _e 3$, then $\tanh 2 x+\operatorname{sech} 2 x=$ 28. If $a=3, b=5, c=7$ are the sides of a $\triangle A B C$, then $\cot A+\cot B+\cot C=$ 29. Let $p_1, p_2$ and $p_3$ be the altitudes of a $\triangle A B C$ drawn through the vertices $A, B$ and $C$ respectively. 30. $A B C D$ is a tetrahedron, $\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}},-2 \hat{\mathbf{i}}+\hat{\mathbf{j}} 31. If $\mathbf{a}=\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+2 \hat{\mathbf{k}}, \mathbf{b}=6 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}- 32. Let $\mathbf{a}$ and $\mathbf{b}$ be two vectors such that $|\mathbf{a}|=|\mathbf{b}|$ and $|\mathbf{a}+2 \mathbf{b}|=|2 33. If $\mathbf{a}$ and $\mathbf{b}$ are two vectors such that $|\mathbf{a}|=|\mathbf{b}|=\sqrt{6}$ and $\mathbf{a} \cdot \m 34. If the volume of a tetrahedron having $\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-3 \hat{\mathbf{k}}, 2 \hat{\mathbf{i}}+\hat{\ 35. $$ \text { The coefficient of variation for the following data is } $$ $$ \begin{array}{llllll} \hline \text { Class int 36. If two smallest squares are chosen at random on a chess board, then the probability of getting these squares such that t 37. Let $A$ and $B$ be two events in a random experiment . If $P(A \cap \bar{B})=0.1, P(\bar{A} \cap B)=0.2$ and $P(B)=0.5$, 38. An urn contains 7 red, 5 white and 3 black balls. Three balls are drawn randomly one after the other without replacement 39. The range of a discrete random variable $X$ is $\{1,2,3\}$ and the probabilities of its elements are given by $P(X=1)=3 40. Among every 8 units of a product, one is likely to be defective. If a consumer has order 5 units of that product, then t 41. If $A=(0,1), B=(1,2), C=(-2,1)$, then the equation of the locus of a point $P$ such that area of $\triangle P A B=$ area 42. $(a, b)$ are the new coordinates of the point $(2,3)$ after shifting the origin to the point $(3,2)$ by translation of a 43. The lines $x+y+4=0, x-2 y-4=0$ and $3 x+4 y-2=0$ 44. The area of the triangle formed by the line $L$ with the coordinate axes is 12 sq. units. If $L$ passes through the poin 45. The area of the quadrilateral formed by the lines $x+2 y+3=0,2 x+4 y+9=0, x-2 y+3=0$ and $3 x-6 y+11=0$ 46. If $(-1,-1)$ is the point of intersection of the pair of lines $2 x^2+5 x y-3 y^2+2 g x+2 f y+c=0$. Then $g+f$ 47. If the length of the chord $2 x+3 y+k=0$ of the circle $x^2+y^2-2 x+4 y-11=0$ is $2 \sqrt{3}$, then the sum of all possi 48. The power of a point $(2,-1)$ with respect to a circle $C$ of radius 4 is 9 . The centre of the circle $C$ lies on the l 49. The angle between the tangents drawn from the point $P(k, 6 k)$ to the circle $x^2+y^2+6 x-6 y+2=0$ is $2 \tan ^{-1}\lef 50. The tangents drawn from a point $(2,-1)$ touch the circle $x^2+y^2+4 x-2 y+1=0$ at the points $A$ and $B$. If $C$ is the 51. If $\theta$ is the angle between the circles $x^2+y^2-4 x+2 y-4=0$ and $x^2+y^2-2 x+4 y-11=0$ then $\sin \theta=$ 52. If the line $x+y=2$ cuts the circle $x^2+y^2+2 x-4 y+4=0$ at two points $A$ and $B$, then the radius of the circle passi 53. A normal chord $P Q$ drawn at a point $P$ on the parabola $y^2=5 x$ subtends a right angle at the vertex. If $P$ lies in 54. If $L(p, q), q>3$ is one end of the latus rectum of the parabola $(y-2)^2=3(x-1)$, then the equation of the tangent at $ 55. If $P$ is any point on the ellipse $\frac{x^2}{25}+\frac{y^2}{9}=1$ and $S, S^{\prime}$ are its foci, then the maximum a 56. Let $e$ be the eccentricity of the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$. If $a=5, b=4$ and the equation of the no 57. If the latus rectum through one of the foci of a hyperbola $\frac{x^2}{9}-\frac{y^2}{b^2}=1$ subtends a right angle at t 58. The equation of the locus of a point whose distance from $X Y$-plane is twice its distance from $Z$-axis is 59. If $\alpha$ is the angle between any two diagonals of a cube and $\beta$ is the angle between a diagonal of a cube and a 60. If the angle between the planes $a x-y+3 z=2 a$ and $3 x+a y+z=3 a$ is $\frac{\pi}{3}$, then the direction ratio of the 61. If $\mathop {\lim }\limits_{x \to 0} \frac{3^{x^3}-\left(1-x^3\right)^{\frac{2}{3}}}{x^2 \sin x}=p+\log q$, then $p q=$ 62. If $[x]$ is the greatest integer function and $$ f(x)=\left\{\begin{array}{cc} 2[x]-\frac{x}{|x|}, & x \neq 0 \\ 1, & x= 63. If $x=2 \sqrt{2} \sqrt{\cos 2 \theta}$ and $y=2 \sqrt{2} \sqrt{\sin 2 \theta}, 0 64. The domain of the derivative of the function $f(x)=\cos ^{-1}(2 x-5)-\sin ^{-1}(x-2)$ is 65. If $y=\tan ^2\left(\cos ^{-1} \sqrt{\frac{1+x^2}{2}}\right)$, then $\frac{d y}{d x}=$ 66. If $y=x^{\log x}+(\log x)^x, x>1$, then $\left(\frac{d y}{d x}\right)_{x=e}=$ 67. If the curves $y^2=12 x-3$ and $y^2=12-k x$ cut each other orthogonally, then the length of the sub-tangent at $(1, b)$ 68. A rod of length 41 m with an end $A$ on the floor and another end $B$ on the wall perpendicular to the floor is sliding 69. There is a possible error of 0.02 cm in measuring the base diameter of a right circular cone as 14 cm . If the semi-vert 70. The real valued function $f(x)=\frac{x^2}{2}-\log \left(x^2+x+1\right)$ is 71. If $x$ and $y$ are two positive real numbers such that $x y=4$, then the minimum value of $\left(\sqrt{x}+\frac{y^2}{2}\ 72. If $\int x^3 \sin 3 x d x=\frac{1}{27}[f(x) \cos 3 x+g(x) \sin 3 x]+C$, then $f(\mathrm{l})+g(\mathrm{l})=$ 73. If $I_1=\int \sin ^6 x d x$ and $I_2=\int \cos ^6 x d x$, then $I_1+I_2=$ 74. $$ \int \frac{x+\cos x}{1-\sin x} d x= $$ 75. If $\int \frac{1}{(x+2) \sqrt{x^2+x+2}} d x=$ 76. $$ \int_{-4}^5 \frac{1}{\sqrt{20+x-x^2}} d x= $$ 77. $$ \int_0^{\frac{\pi}{2}} \frac{d x}{\cos x-\sqrt{3} \sin x}= $$ 78. $$ \int_0^{\frac{\pi}{2}} \sqrt{\tan x d x}= $$ 79. If $y=f(x)$ is the solution of the differential equation $\left(1+\cos ^2 x\right) f^{\prime}(x)-4 \sin 2 x-f(x) \sin 2 80. The differential equation corresponding to the family of ellipses $\frac{x^2}{a^2}+\frac{y^2}{4}=1$, where ' $a$ ' is an

Physics

1. Match the "Technology" given in List-I with the "Principle of physics" given in List-II. $$ \begin{array}{l|l|l|l} \hlin 2. In an experiment, the coefficient of viscosity (in $\mathrm{mPa} . \mathrm{s})$ of a liquid was determined as $2.62,2.68 3. The relation between the displacement ' $x$ ' (in metre) and the time ' $t$ ' (in second) of a particle is $t=2 x^2+3 x$ 4. A body projected at certain angle $\left(\neq 90^{\circ}\right)$ from the ground crosses a point in its path at a time o 5. A circular path of radius 75 m is banked at an angle of $\tan ^{-1}(0.2)$. If the coefficient of static friction between 6. A horizontal force of 10 N is applied on a block of mass 1.5 kg which is initially at rest on a rough horizontal surface 7. A ball is allowed to fall freely from a height of 42 m form the ground. If the coefficient of restitution between the ba 8. A thin uniform wire of mass ' $m$ ' and linear density ' $\rho$ ' is bent in the form of a circular ring. The moment of 9. A solid sphere and a thin uniform circular disc of same radius are rolling down an inclined plane without slipping. If t 10. If the amplitudes of a damped harmonic oscillator at times $t=0, t_1$ and $t_2$ are $A_0, A_1$ and $A_2$ respectively, t 11. A meteor of mass ' $m$ ' having a speed ' $V$ ' at infinity reaches the surface of the Earth with a speed of ( $v_c$ is 12. The work to be done to produce a strain of $10^{-3}$ in a steel wire of mass 2.96 kg and density $7.4 \mathrm{~g} \mathr 13. A wooden block of outer volume 1 litre and specific gravity $\frac{3}{4}$ having a cavity floats with half of its volume 14. When ' $n$ ' identical mercury drops combine to form a single big drop 15. The temperature of a body shown by a faulty Celsius thermometer is $49^{\circ} \mathrm{C}$ and by a correct Fahrenheit t 16. If the radiation emitted by a perfect radiator has maximum intensity at a wavelength of $2900 \mathop {\rm{A}}\limits^{\ 17. The ratio of the work done, change in internal energy and heat absorbed when a diatomic gas expands at constant pressure 18. If the temperature of a gas is increased from $127^{\circ} \mathrm{C}$ to $527^{\circ} \mathrm{C}$, then the rms speed o 19. An air column in a tube of length 50 cm , closed at one end is vibrating in its fifth harmonic. The phase difference bet 20. A metal rod of length 125 cm is clamped at its midpoint. If the speed of the sound in the metal is $5000 \mathrm{~ms}^{- 21. If the distances of the object and its real image from the principal focus of a concave mirror are 16 cm and 9 cm respec 22. If the angle of minimum deviation produced by an equilateral prism is equal to the angle of the prism, then the refracti 23. When two light waves of equal intensity superimpose, the maximum intensity obtained is $I$. If the intensity of one of t 24. The electric field due to an infinitely long thin straight wire with uniform linear charge density of $2.5 \times 10^{-7 25. A parallel plate capacitor of capacitance $10 \mu \mathrm{~F}$ is charged by a 220 V supply. The capacitor is then disco 26. The lengths of two wires made of the same material are in the ratio $2: 3$ and their radii are in the ratio $1: 2$. If t 27. In a potentiometer experiment for the determination of the internal resistance of a cell, when an external resistance of 28. The number of turns of two circular coils $A$ and $B$ are 300 and 200 respectively. The magnetic moments of the two coil 29. Two long straight parallel wires carry currents of 8 A and 10 A in opposite directions. If the distance of separation be 30. A short bar magnet of magnetic moment $2.5 \mathrm{Am}^2$ is kept in a uniform magnetic field of $4 \times 10^{-5} \math 31. The radius of a coil of $N$ turns is $R$. If the plane of the coil is placed parallel to a uniform magnetic field $B$, t 32. The inductance $L$, capacitance $C$ and resistance $R$ are the values of the components connected in series to an AC sou 33. If the rate of change of electric field across the plates of a parallel plate capacitor is $E$ and the displacement curr 34. The work done to accelerate an electron from rest so that it can have a de-Broglie wavelength of $6600 \mathop {\rm{A}}\ 35. If the total energy of an electron in an orbit is positive, then 36. If $87.5 \%$ of atoms of a radioactive element decay in 6 days, then the fraction of atoms of the element that decay in 37. If the ratio of the mass numbers of two nuclei is $27: 125$, then the ratio of their surface areas is 38. At absolute zero temperature, a semiconductor behaves like 39. Three logic gates are connected as shown in the figure. If the inputs are $A=1, B=0$ and $C=1$, then the values of $y_1, 40. The radio horizon of a transmitting antenna of height 39.2 m is (Radius of the Earth $=6400 \mathrm{~km}$ )

TG EAPCET 2025 (Online) 4th May Morning Shift

MCQ (Single Correct Answer)

-0

If $I_1=\int \sin ^6 x d x$ and $I_2=\int \cos ^6 x d x$, then $I_1+I_2=$

$\frac{5 x}{8}+\frac{3 \cos 4 x}{32}+C$

$\frac{1}{32}(20 x-3 \sin 4 x)+C$

$\frac{1}{32}(20 x+3 \sin 4 x)+C$

$\frac{5 x}{4}+\frac{3 \sin 4 x}{16}+C$

TG EAPCET 2025 (Online) 4th May Morning Shift

MCQ (Single Correct Answer)

-0

$$ \int \frac{x+\cos x}{1-\sin x} d x= $$

$x \tan \left(\frac{\pi}{4}+\frac{x}{2}\right)+C$

$x \tan \frac{x}{2}+C$

$x \cot \frac{x}{2}+C$

$x \cot \left(\frac{\pi}{4}+\frac{x}{2}\right)+C$

TG EAPCET 2025 (Online) 4th May Morning Shift

MCQ (Single Correct Answer)

-0

If $\int \frac{1}{(x+2) \sqrt{x^2+x+2}} d x=$

$-\frac{1}{2} \sinh ^{-1}\left(\frac{2-3 x}{\sqrt{7}(x+2)}\right)+C$

$-\frac{1}{2} \sin ^{-1}\left(\frac{2+3 x}{\sqrt{7}(x+2)}\right)+C$

$\frac{1}{2} \cosh ^{-1}\left(\frac{2+3 x}{\sqrt{7}(x+2)}\right)+C$

$-\frac{1}{2} \cos ^{-1}\left(\frac{2-3 x}{\sqrt{7}(x+2)}\right)+C$

TG EAPCET 2025 (Online) 4th May Morning Shift

MCQ (Single Correct Answer)

-0

$$ \int_{-4}^5 \frac{1}{\sqrt{20+x-x^2}} d x= $$

$\frac{81 \pi}{8}$

$\frac{9 \pi}{2}$

$\pi$

$\frac{\pi}{10}$

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