TG EAPCET 2025 (Online) 2nd May Evening Shift | TS EAMCET Year Wise Previous Years Questions

Chemistry

1. The electron in hydrogen atom undergoes transition from higher orbits to an orbit of radius 476.1 pm . This transition c 2. Identify the incorrect statement from the following? 3. Atomic numbers of three elements $E_1, E_2$ and $E_3$ of periodic table are $Z_1, 50$ and $Z_2$ respectively. From the p 4. Electron gain enthalpy values $\left(\Delta_{\mathrm{cg}} H\right)$ (in $\mathrm{kJ} \mathrm{mol}^{-1}$ ) of elements $X 5. Observe the following list of molecules. Number of polar and non-polar molecules are respectively $\mathrm{NH}_3, \mathr 6. The molecule ' $X$ ' has see-saw shape with central atom in $s p^3 d$ hybridisation. What is ' $X$ '? 7. Two vessels are filled with ideal gases $A$ and $B$ and are connected through a pipe of zero volume as shown in figure. 8. If the number of moles of $\mathrm{Fe}^{2+}$ ions oxidised by one mole of acidified $\mathrm{MnO}_4^{-}$is $x$, the numb 9. One mole of an ideal gas at 300 K and 20 atm expands to 2 atm under isothermal and reversible conditions. The work done 10. At 1000 K , the equilibrium constant for the reaction, $\mathrm{CO}_2(\mathrm{~g})+\mathrm{H}_2(\mathrm{~g}) \rightlefth 11. $$ \text { Match the following. } $$ .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border- 12. Observe the following statements. Statement I Both LiF and CsI have low solubility in water. Statement II Low solubility 13. In which of the following the $s$-block elements are arranged in the correct order of their melting points? 14. The correct statements about the compounds of boron are I. In borax bead test, the colour of cobalt metaborate is blue. 15. Dehydration of an organic acid $X$ with concentrated $\mathrm{H}_2 \mathrm{SO}_4$ at 373 K gives $\mathrm{H}_2 \mathrm{O 16. Identify the correct statements from the following I. Photochemical smog has high concentration of oxidising agents. II. 17. Consider the given sequence of reactions, $$ \mathrm{C}_2 \mathrm{H}_6+\frac{3}{2} \mathrm{O}_2 \xrightarrow[\Delta]{(\m 18. When sodium fusion extract of an organic compound is boiled with iron (II)sulphate solution followed by addition of conc 19. Which of the following is an example of electrophilic substitution reaction? 20. An alkene $X$ on ozonolysis gives a mixture of simplest ketone $(Y)$ and 3-pentanone. The IUPAC name of the alkene $X$ i 21. A solid contains elements $A$ and $B$. Anions of $B$ form ccp lattice. Cations of $A$ occupy 50\% of octahedral voids an 22. The osmotic pressure (in atm) of an aqueous solution containing 0.01 mol of NaCl (degree of dissociation 0.94 ) and 0.03 23. Electrolysis of aqueous copper (II) sulphate between Pt electrodes gives ' $X^{\prime}$ at anode and ' $Y^{\prime}$ at c 24. Consider a general first order reaction, $$ A(g) \longrightarrow B(g)+C(g) $$ If the initial pressure is 200 mm and afte 25. The most effective coagulating agent for antimony sulphide sol is 26. Metal $X$ obtained from sphalarite ore can be purified by which of the following method? 27. An oxoacid of phosphorus ' $X$ ' reduces silver nitrate solution to metallic silver and gets oxidised to another compoun 28. Zinc on reaction with concentrated nitric acid gives an oxide of nitrogen $(A)$. Zinc with dilute nitric acid gives anot 29. Identify the reaction related to Deacon's process 30. Identify the correct statements about lanthanoids I. $\mathrm{Ce}^{4+}$ and $\mathrm{Tb}^{4+}$ act as oxidising agents. 31. When 100 mL of 0.2 M solution of $\mathrm{CoCl}_3 \cdot x \mathrm{NH}_3$ is treated with excess of $\mathrm{AgNO}_3$ sol 32. Ethylene on reaction with cold, dilute alkaline $\mathrm{KMnO}_4$ at 273 K gives a compound ' $P$ '. This on polymerisat 33. A carbohydrate $(A)$, when treated with dilute HCl in alcoholic solution gives two isomers $(B)$ and $(C)$. $B$ on react 34. The incorrect statement about chloramphenicol is 35. The number of chlorine $(\mathrm{Cl})$ atoms in the structure of DDT molecule is 36. The major product in Reimer-Tiemann reaction is $X$. The reactants are $Y$ and $Z, X, Y$ and $Z$ are respectively 37. $$ \text { Toluene } \xrightarrow[\text { (ii) } \mathrm{H}_3 \mathrm{O}^{+}]{\text {(i) } \mathrm{CrO}_2 \mathrm{Cl}_2 38. $$ \text { Identify the product ' } P \text { ' in the given reaction sequence. } $$ 39. $$ \text { The product ' } C \text { ' in the given reaction sequence is } $$ 40. The amine/salt of amine which gives positive test with a mixture of chloroform and alcoholic KOH solution is

Mathematics

1. If $f: R-\{0\} \rightarrow R$ is defined by $3 f(x)+4 f\left(\frac{1}{x}\right)=\frac{2-x}{x}$ then $f(3)=$ 2. The inverse of the function $y=\frac{10^x-10^{-x}}{10^x+10^{-x}}+1$ is $x=$ 3. The value of the greatest positive integer $k$, such that $49^k+1$ is a factor of $48\left(49^{125}+49^{124}+\ldots+49^2 4. If $\left|\begin{array}{ccc}1 & 2 & 3-\lambda \\ 0 & -1-\lambda & 2 \\ 1-\lambda & 1 & 3\end{array}\right|=A \lambda^3+B 5. If $A+2 B=\left[\begin{array}{ccc}1 & 2 & 0 \\ 6 & -3 & 3 \\ -5 & 3 & 1\end{array}\right]$ and $2 A-B=\left[\begin{array 6. $A, C$ are $3 \times 3$ matrices $B, D$ are $3 \times 1$ matrices. If $A X=B$ has unique solution and $C X=D$ has infini 7. $A$ and $B$ are two non-square matrices. If $P=A+B, Q=A^T B, R=A B^T$, then the matrices whose order is equal to the ord 8. $\omega$ is a complex cube root of unity and $Z$ is a complex number satisfying $|Z-1| \leq 2$. The possible values of $ 9. If $|Z|=2, Z_1=\frac{Z}{2} e^{i \alpha}$ and $\theta$ is the $\operatorname{amp}(Z)$, then $\frac{Z_1^n-Z_1^{-n}}{Z_1^n+ 10. If $n, K \in N$ such that $n \neq 3 K$, then $(\sqrt{3}+i)^{2 n}+(\sqrt{3}-i)^{2 n}=$ 11. In argand plane, no value of $\sqrt[3]{1-i \sqrt{3}}$ lie in 12. If $l$ is the maximum value of $-3 x^2+4 x+1$ and $m$ is the minimum value of $3 x^2+4 x+1$, then the equation of the hy 13. If the equation $x^2-3 a x+a^2-2 a-k=0$ has different real roots for every rational number $a$, then $k$ lies in the int 14. The number of all common roots of the equation $x^4-10 x^3+37 x^2-60 x+36=0$ and the transformed equation of it obtained 15. If $\alpha, \beta, \gamma$ are the roots of the equation $x^3-P x^2+Q x-R=0$ and $(\alpha-2)^2,(\beta-2)^2,(\gamma-2)^2$ 16. The number of non-negative integral solutions of the equation $x+y+z+t=10$ when $x \geq 2, z \geq 5$ is 17. The number of integers lying between 1000 and 10000 such that the sum of all the digits in each of those numbers becomes 18. If all the letters of the word MOST are permuted and the words (with or without meaning) thus obtained are arranged in t 19. The constant term in the expansion of $\left(1+\frac{1}{x}\right)^{20}\left(30 x(1+x)^{29}+(1+x)^{30}\right)$ is 20. When $|x|>3$, then coefficient of $\frac{1}{x^n}$ in the expansion of $x^{3 / 2}(3+x)^{1 / 2}$ is 21. If $\frac{x^2-3}{(x+2)\left(x^2+1\right)}=\frac{A}{x+2}+\frac{B x+C}{\left(x^2+1\right)}$, then $3 A+2 B-C=$ 22. If $5 \sin \theta+3 \cos \left(\theta+\frac{\pi}{3}\right)+3$ lies between $\alpha$ and $\beta$ (including $\alpha, \bet 23. $$ \frac{\sin 1^{\circ}+\sin 2^{\circ}+\ldots \sin 89^{\circ}}{2\left(\cos 1^{\circ}+\cos 2^{\circ}+\ldots+\cos 44^{\cir 24. If $3 \sin (\alpha-\beta)=5 \cos (\alpha+\beta)$ and $\alpha+\beta \neq \frac{\pi}{2}$, then $\frac{\tan \left(\frac{\pi 25. $1+\cos x+\cos ^2 x+\cos ^3 x+\ldots$ to $\infty=4+2 \sqrt{3}$, then $x=$ 26. Consider the following statements Assertion (A) : When $x, y, z$ are positive numbers, then $$ \begin{aligned} & \tan ^{ 27. If $e^{\left(\sinh ^{-1} 2+\cosh ^{-1} \sqrt{6}\right)}=(a+(b+\sqrt{c}) \sqrt{a}+b \sqrt{c})$, then $a+b+c=$ 28. In a $\triangle A B C$, if $r_1=4, r_2=8$ and $r_3=24$, then $a: b: c=$ 29. In a $\triangle A B C,\left(r_2+r_3\right) \operatorname{cosec}^2\left(\frac{A}{2}\right)=$ 30. $A, B, C$ and $D$, are any four points. If $E$ and $F$ are mid-points of $A C$ and $B D$ respectively, then $\mathbf{A B 31. The four points whose position vectors are given by $2 a+3 b-c, a-2 b+3 c, 3 a+4 b-2 c$ and $a-6 b+6 c$ are 32. If $a=|\mathbf{a}| ; b=|\mathbf{b}|$, then $\left(\frac{\mathbf{a}}{a^2}-\frac{\mathbf{b}}{b^2}\right)^2$ 33. $\mathbf{a}, \mathbf{b}, \mathbf{c}$ are three unit vectors such that $x \mathbf{a}+y \mathbf{b}+z \mathbf{c}= p(\mathbf 34. Let $A$ be a point having position vector $\hat{\mathbf{i}}-3 \hat{\mathbf{j}}$ and $\mathbf{r}=(\hat{\mathbf{i}}-3 \hat 35. If the variance of the numbers $9,15,21, \ldots,(6 n+3)$ is $P$, then the variance of the first $n$ even numbers is 36. Let $P=\left[\begin{array}{lll}1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9\end{array}\right]$ be a matrix. Three elements of thi 37. $A, B_1, B_2, B_3$ are the events in a random experiment. If $P\left(B_1\right)=0.25, P\left(B_2\right)=0.30, P\left(B_3 38. $A, B$ are the events in a random experiment. If $P(A)=\frac{1}{2}, P(B)=\frac{1}{3}, P(A \cap B)=\frac{1}{4}$, then $P\ 39. Two persons $A$ and $B$ play a game by throwing two dice. If the sum of the numbers appeared on the two dice is even, A 40. A typist claims that he prepares a typed page with typo errors of 1 per 10 pages. In a typing assignment of 40 pages, if 41. A line segment joining a point $A$ on $X$-axis to a point $B$ on $Y$-axis is such that $A B=15$. If $P$ is a point on $A 42. The point $P(\alpha, \beta)(\alpha>0, \beta>0)$ undergoes the following transformations successively. (a) Translation to 43. If the line passing through the point $(4,-3)$ and having negative slope makes an angle of $45^{\circ}$ with the line jo 44. $O(0,0), B(-3,-1)$ and $C(-1,-3)$ are vertices of a $\triangle O B C$. $D$ is a point on $O C$ and $E$ is a point on $O 45. Every point on the curve $3 x+2 y-3 x y=0$ is the centroid of a triangle formed by the coordinate axes and a line $(L)$ 46. The value of ' $a$ ' for which the equation $\left(a^2-3\right) x^2+16 x y -2 a y^2+4 x-8 y-2=0$ represents a pair of pe 47. The slope of a common tangent to the circles $x^2+y^2=16$ and $(x-9)^2+y^2=16$ is 48. The equation of the circle whose radius is 3 and which touches the circle $x^2+y^2-4 x-6 y-12=0$ internally at $(-1,-1)$ 49. Suppose $C_1$ and $C_2$ are two circles having no common points, then 50. The locus of the centre of the circle touching the $X$-axis and passing through the point $(-1,1)$ is 51. The centres of all circles passing through the points of intersection of the circles $x^2+y^2+2 x-2 y+1=0$ and $x^2+y^2- 52. $A$ circle $S$ given by $x^2+y^2-14 x+6 y+33=0$ cuts the $X$-axis at $A$ and $B(O B>O A)$. $C$ is mid-point of $A B . L$ 53. For the parabola $y=x^2-3 x+2$, match the items in List I to that of the items in List II. $S$ is a focus, $Z$ is inters 54. The locus of a point which divides the line segment joining the focus and any point on the parabola $y^2=12 x$ in the ra 55. The curve represented by $\frac{x^2}{12-\alpha}+\frac{y^2}{\alpha-10}=1$ is 56. If any tangent drawn to the ellipse $\frac{x^2}{16}+\frac{y^2}{9}=1$ touches one of the circles $x^2+y^2=\alpha^2$, then 57. Let $x$ be the eccentricity of a hyperbola whose transverse axis is twice its conjugate axis. Let $y$ be the eccentricit 58. $O(0,0,0), A(3,1,4), B(1,3,2)$ and $C(0,4,-2)$ are the vertices of a tetrahedron. If $G$ is the centroid of the tetrahed 59. If $L$ is a line common to the planes $3 x+4 y+7 z=1$, $x-y+z=5$, then the direction ratios of the line $L$ are 60. If the points $(1,1, \lambda)$ and $(-3,0,1)$ are equidistant from the plane $3 x+4 y-12 z+13=0$, then the values of $\l 61. If $f(x)=\frac{x\left(a^x-1\right)}{1-\cos x}$ and $g(x)=\frac{x\left(1-a^x\right)}{a^x\left(\sqrt{1-x^2}-\sqrt{1+x^2}\r 62. If $f(x)=\left\{\begin{array}{cc}\frac{a \sin x-b x+c x^2+x^3}{2 \log (1+x)-2 x^3+x^4} & , x \neq 0 \\ 0 & , x=0\end{arr 63. If the function $g(x)=\left\{\begin{array}{cl}K \sqrt{x+1} & , 0 \leq x \leq 3 \\ m x+2 & , 3 64. Consider the following statements Assertion (A) For $x \in R-\{1\}$; $$ \frac{d}{d x}\left(\tan ^{-1}\left(\frac{1+x}{1- 65. If $\frac{d}{d x}\left\{\left(\frac{x-1}{x-\sqrt{x}}\right) e^{2 x+1}\right\}=\frac{x-1}{x-\sqrt{x}} e^{2 x+1} f(x)$, th 66. If $y=\left(\sin ^{-1} x\right)^2$, then $\left(1-x^2\right) \frac{d^2 y}{d x^2}-x \frac{d y}{d x}=$ 67. The radius of a cone of height 9 units is changed from 2 units to 2.12 units. The exact change and approximate change in 68. The local maximum value $l$ and local minimum value $m$ of $f(x)=\frac{x^2+2 x+2}{x+1}$ in $R-\{-1\}$ exist at $\alpha, 69. $P(5,2)$ is a point on the curve $y=f(x)$ and $\frac{7}{2}$ is the slope of the tangent to the curve at $P$. The area of 70. If a particle is moving in a straight line so that after $t$ seconds its distance $S$ (in cms) from a fixed point on the 71. If $f:[a, b] \rightarrow[c, d]$ is a continuous and strictly increasing function, then $\frac{d-c}{b-a}$ is 72. $$ \int\left(\frac{1}{x^2}+\frac{\sin ^3 x+\cos ^3 x}{\sin ^2 x \cos ^2 x}\right) d x= $$ 73. If $I_n=\int \frac{1}{\left(x^2+1\right)^n} d x$, then $2 n I_{n+1}-(2 n-1) I_n=$ 74. $\int \frac{x^3}{x^4+3 x^2+2} d x=$ 75. If $\int \frac{d x}{\left(x^2+9\right) \sqrt{x^2+16}}=\frac{1}{3 \sqrt{7}} \tan ^{-1}\left(K \frac{x}{\sqrt{16+x^2}}\ri 76. $$ \mathop {\lim }\limits_{n \to \infty } \frac{1}{n^2}\left[e^{1 / n}+2 e^{2 / n}+3 e^{3 / n}+\ldots+2 n e^2\right]= $$ 77. Let $m, n, p, q$ be four positive integers. If $$ \begin{aligned} & \int_0^{2 \pi} \sin ^m x \cos ^n x d x=4 \int_0^{\pi 78. The area of the region bounded by the curves $y=x^3, y=x^2$ and the lines $x=0$ and $x=2$ is 79. The substitution required to reduce the differential equation $t^2 d x+\left(x^2-t x+t^2\right) d t=0$ to a differential 80. The equation which represents the system of parabolas whose axis is parallel to $Y$-axis satisfies the differential equa

Physics

1. Bose-Einstein statistics is applicable to particles with 2. If $L$ and $C$ are inductance and capacitance respectively, then the dimensional formula of $(\mathrm{LC})^{-\frac{1}{2} 3. The ratio of times taken by a freely falling body to travel first 5 m , second 5 m , third 5 m distances is 4. Two bodies are projected from the same point with the same initial velocity ' $u$ ' making angles ' $\theta^{\prime}$ an 5. If the system of blocks shown in the figure is released from rest, the ratio of the tensions $T_1$ and $T_2$ is (Neglect 6. If the component of the vector $\mathbf{A}$ along the vector $\mathbf{B}$ is twice the component of $\mathbf{B}$ along $ 7. A body projected vertically up with an initial speed of $10 \mathrm{~ms}^{-1}$ reaches the point of projection after som 8. Due to global warming, if the ice in the polar region melts and some of this water flows to the equatorial region, then 9. If the moment of inertia of a thin circular ring about an axis passing through its edge and perpendicular to its plane i 10. A particle is executing simple harmonic motion. If the force acting on the particle at a position is $86.6 \%$ of the ma 11. The ratio of the time periods of a simple pendulum at heights $2 R_E$ and $3 R_E$ from the surface of the Earth is ( $R_ 12. Two wires $A$ and $B$ made of same material and areas of cross-section in the ratio $1: 2$ are stretched by same force. 13. Water is filled in a tank up to a height of 20 cm from the bottom of the tank. Water flows through a hole of area $1 \ma 14. For which of the following Reynold's number, a flow is streamlined? 15. A body cools from a temperature of $60^{\circ} \mathrm{C}$ to $50^{\circ} \mathrm{C}$ in 10 minutes and $50^{\circ} \mat 16. When the temperature of a gas in a closed vessel is increased by $2.4^{\circ} \mathrm{C}$, its pressure increases by $0. 17. A gas is suddenly compressed such that its absolute temperature is doubled. If the ratio of the specific heat capacities 18. If the heat required to increase the rms speed of 4 moles of a diatomic gas from $v$ to $\sqrt{3} v$ is 83.1 kJ , then t 19. If the lengths of the open and closed pipes are in the ratio of $2: 3$, then the ratio of the frequencies of the third h 20. The equation of a transverse wave propagating on a stretched string is given by $y=3 \sin (4 x+200 t)$, where $x$ and $y 21. A compound microscope has an objective of focal length 1.25 cm and an eyepiece of focal length 5 cm separated by a dista 22. The property of light that explains the formation of coloured images due to thick lenses is 23. For an aperture of $5 \times 10^{-3} \mathrm{~m}$ and a monochromatic light of wavelength $\lambda$, the distance for wh 24. An electron and a positron enter a uniform electric field $E$ perpendicular to it with equal speeds at the same time. Th 25. A charge $q$ is placed at the centre ' $O$ ' of a circle of radius $R$ and two other charges $q$ and $q$ are placed at t 26. In a potentiometer experiment, a wire of length 10 m and resistance $5 \Omega$ is connected to a cell of emf 2.2 V . If 27. When the right gap of a metre bridge consists of two equal resistors in series, the balancing point is at 50 cm . When o 28. Two identical wires, carrying equal currents are bent into circular coils $A$ and $B$ with 2 and 3 turns respectively. T 29. A current of 4 A is passed through a square loop of side 5 cm made of a uniform manganin wire as shown in the figure. Th 30. If $B_V$ and $B_H$ are respectively the vertical and horizontal components of the Earth's magnetic field at a place wher 31. A coil of resistance $8 \Omega$, number of turns 250 and area $120 \mathrm{~cm}^2$ is placed in a uniform magnetic field 32. An inductor and a resistor are connected in series to an AC supply. If the potential difference across the inductor and 33. If electromagnetic waves of power 600 W incident on a non-reflecting surface, then the total force acting on the surface 34. When a photosensitive material is illuminated by photons of energy 3.1 eV , the stopping potential of the photoelectrons 35. The ratio of the kinetic energies of the electrons in the third and fourth excited states of hydrogen atom is 36. In $\beta^{-}$decay, a neutron transforms into a proton within the nucleus according to the equation : neutron $\rightar 37. Two radioactive substances $A$ and $B$ have same number of initial nuclei. If the half lives of $A$ and $B$ are 1.5 days 38. $10^{10}$ electrons enter the emitter of a junction transistor in a time of $0.4 \mu \mathrm{~s}$. If $5 \%$ of the elec 39. An electron in $n$-region of a $p-n$ junction moves towards the junction with a speed of $5 \times 10^5 \mathrm{~ms}^{-1 40. Coaxial cable, a widely used wire medium offers and approximate frequency bandwidth of

TG EAPCET 2025 (Online) 2nd May Evening Shift

MCQ (Single Correct Answer)

-0

If $I_n=\int \frac{1}{\left(x^2+1\right)^n} d x$, then $2 n I_{n+1}-(2 n-1) I_n=$

$\frac{\left(x^2+1\right)^n}{x}+C$

$\frac{x}{\left(x^2+1\right)^n}+C$

$x\left(x^2+1\right)^{n-1}+C$

$\frac{x}{\left(x^2+1\right)^{n-1}}+C$

TG EAPCET 2025 (Online) 2nd May Evening Shift

MCQ (Single Correct Answer)

-0

$\int \frac{x^3}{x^4+3 x^2+2} d x=$

$\log \left(\frac{x^2+2}{\sqrt{x^2+1}}\right)+C$

$\log \left(x^2+2\right)-2 \log \left(x^2+1\right)+C$

$\log \left(\frac{\left(x^2+2\right) x}{\sqrt{x^2+1}}\right)+C$

$\log \left(\frac{x^2+1}{\sqrt{x^2+2}}\right)+C$

TG EAPCET 2025 (Online) 2nd May Evening Shift

MCQ (Single Correct Answer)

-0

If $\int \frac{d x}{\left(x^2+9\right) \sqrt{x^2+16}}=\frac{1}{3 \sqrt{7}} \tan ^{-1}\left(K \frac{x}{\sqrt{16+x^2}}\right)+c$, then $K=$

$\frac{\sqrt{7}}{3}$

$3 \sqrt{7}$

$\frac{3}{\sqrt{7}}$

$\frac{3}{7}$

TG EAPCET 2025 (Online) 2nd May Evening Shift

MCQ (Single Correct Answer)

-0

$$ \mathop {\lim }\limits_{n \to \infty } \frac{1}{n^2}\left[e^{1 / n}+2 e^{2 / n}+3 e^{3 / n}+\ldots+2 n e^2\right]= $$

$e^2-1$

$e^2+1$

$2 e^2-2$

$2 e^2+1$

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