List of top Questions asked in TS EAMCET- 2025

Out of the given 25 consecutive positive integers, three integers are drawn. If the least integer among given 25 integers is an odd number, then the probability that the sum of the three integers drawn is an even number is

If the quotient and remainder obtained when the expression $3x^5-6x^4+2x^3+4x^2-5x+8$ is divided by the expression $x^2-2x+3$ are $ax^3+bx^2+cx+d$ and $px+q$ respectively, then $ab+cd =$

The domain of the derivative of the function \( f(x) = \cos^{-1}(2x-5) - \sin^{-1}(x-2) \) is

A force separately produces accelerations of 18 ms⁻², 9 ms⁻² and 6 ms⁻² in three bodies of masses P, Q and R respectively. If the same force is applied on a body of mass P+Q+R, then the acceleration of that body is

Identify the correct statements
I. Lithium halides are somewhat covalent in nature
II. NaNO$_3$ on heating gives NO$_2$ gas
III. LiHCO$_3$ is a solid
IV. All alkali metals form ethynides on reaction with ethyne

The incorrect statement about Castner-Kellner cell process is

Identify the incorrect order against the property given in brackets

$100 \text{ mL}$ of $0.05 \text{ M } \text{Cu}^{2+}$ aqueous solution is added to $1 \text{ L}$ of $0.1 \text{ M } \text{KI}$ solution. The number of moles of $\text{I}_2$ and $\text{Cu}_2\text{I}_2$ formed are respectively

A metal rod of length 125 cm is clamped at its midpoint. If the speed of the sound in the metal is 5000ms\(^{-1}\), then the fundamental frequency of the longitudinal vibrations of the rod is

If \(\frac{d}{dx}\left\{ \frac{x-1}{x-\sqrt{x}} e^{2x+1} \right\} = \frac{x-1}{x-\sqrt{x}} e^{2x+1} f(x)\), then \(f(4) =\)

If the curves \(y^2=12x-3\) and \(y^2=12-kx\) cut each other orthogonally then the length of the sub tangent at (1,b) on the curve \(y^2=12-kx\) is

If $\frac{1}{2.7} + \frac{1}{7.12} + \frac{1}{12.17} + \dots$ to 10 terms = k, then k =

If the equation of the plane passing through the points (2,1,2), (1,2,1) and perpendicular to the plane \( 2x-y+2z=1 \) is \( ax+by+cz+d=0 \) then \( \frac{a+b}{c+d} = \)

The temperature at which the reading on Fahrenheit scale becomes 90% more than the reading on Celsius scale is

729 small identical spheres each charged to an electric potential 3V combine to form a bigger sphere. The electric potential of the bigger sphere is

The ratio of the masses of two thin uniform circular discs made of same material having same thickness is 4:9. The ratio of the moments of inertia of the two discs about their diameters is

An electromagnetic radiation of wavelength 331.5 nm is made to strike the surface of a metal. Electrons are emitted with a kinetic energy of \(1.2 \times 10^5\) J mol\(^{-1}\). The work function (in eV) of the metal is (h=\(6.63 \times 10^{-34}\) Js, \(N_A = 6 \times 10^{23}\) mol\(^{-1}\))

Let $\pi_1$ be the plane determined by the vectors $\hat{i}+\hat{j}, \hat{i}+\hat{k}$ and $\pi_2$ be the plane determined by the vectors $\hat{j}-\hat{k}, \hat{k}-\hat{i}$. Let $\vec{a}$ be a non-zero vector parallel to the line of intersection of the planes $\pi_1$ and $\pi_2$. If $\vec{b} = \hat{i}+\hat{j}-\hat{k}$ then the angle between the vectors $\vec{a}$ and $\vec{b}$ is

When a cell is connected across a resistance $R$, the current through it is 0.7 A and when the same cell is connected across a resistance $2R$, the current through it is 0.42 A. If the same cell is connected across a resistance $3R$, the current through it is

A radar sends sound waves of frequency 'f' towards an aeroplane moving away from it. If the difference in the frequencies of waves sent and received by the radar is 10% of 'f', then the speed of the aeroplane in $ms^{-1}$ is nearly (Speed of sound in air = 342 $ms^{-1}$)

In a photoelectric experiment, the slope of the graph drawn between stopping potential along y-axis and frequency of incident radiation along x-axis is (Planck's constant = $6.6\times 10^{-34}$ Js)

Two points A and B are located at distances 4 cm and 5 cm respectively from a point charge $+20\mu C$. The work done in taking a charge of $+2\mu C$ from point A to point B is

The ratio of the relative strengths of weak nuclear force and gravitational force is

A physical quantity is represented by $P = X^aY^bZ^c$. If the errors in the measurements of the physical quantities X, Y and Z are respectively a%, b% and c%, then the percentage error in the determination of quantity P is