List of top Questions asked in TS EAMCET- 2024

Among the 5 married couples, if the names of 5 men are matched with the names of their wives randomly, then the probability that no man is matched with the name of his own wife is ?

If $ y (\cos x)^{\sin x} = (\sin x)^{\sin x} $, then the value of $ \frac{dy}{dx} $ at $ x = \frac{\pi}{4} $ is:

Identify the correct statements from the following: (i) Ti (IV) is more stable than Ti (III) and Ti (II)
(ii) Among 3d-series elements (from Z = 22 to 29) only copper has positive reduction potential ($ M^{2+}/M $) (iii) Both Sc and Zn exhibit +1 oxidation state

If $ A(1, 2, -3) $, $ B(2, 3, -1) $, and $ C(3, 1, 1) $ are the vertices of triangle $ \Delta ABC $, then find $ \left| \frac{\cos A}{\cos B} \right|.$

If the length of a cylinder made with a material of Poisson’s ratio 0.4 is increased by 5\%, then the decrease in its diameter is:

In a time ‘’t", the amplitude of vibrations of a damped oscillator becomes half of its initial value, then the mechanical energy of the oscillator decreases by:

The equation of the circle passing through the origin and cutting the circles $x^2 + y^2 + 6x - 15 = 0$ and $x^2 + y^2 - 8y - 10 = 0$ orthogonally is:

A ball of mass 200 g moving with certain velocity collides with another ball of mass 600 g at rest. If the coefficient of restitution is 0.6, the ratio of the velocity of 600 g ball after collision and the velocity of 200 g ball before collision is:

Two particles each of mass $m$ are separated by a distance $d$. If the mass of one of the particles is doubled without changing the distance between the two particles, then the shift in the position of the center of mass is

Identify the correct statements from the following:
I. $\text{In}_2\text{O}_3$ is a basic oxide.
II. $\text{TiCl}_2$ is more ionic in nature than $\text{TiCl}_3$.
III. Boron reacts with dinitrogen at high temperature to form BN.

An electron falling freely under the influence of gravity enters a uniform magnetic field directed towards south. The electron is initially deflected towards?

Define $ f: \mathbb{R} \to \mathbb{R} $ by \[ f(x) = \begin{cases} \frac{1 - \cos 4x}{x^2}, & x < 0 \\ a, & x = 0 \\ \frac{\sqrt{x}}{\sqrt{16 + \sqrt{x}} - 4}, & x > 0 \end{cases} \] Find the value of $ a $ such that $ f $ is continuous at $ x = 0 $.

If $ x $ and $ y $ are two positive real numbers such that $ x + iy = \frac{13\sqrt{5} + 12i}{(2 - 3i)(3 + 2i)} $, then $ 13y - 26x = $:

Given a square matrix $A$ where $A^2 + I = 2A$, find $A^9$.

In a triangle ABC, if $ r_1 = 6 $, $ r_2 = 9 $, $ r_3 = 18 $, then $ \cos A $ is:

A body thrown vertically upwards with certain velocity from the ground reaches a maximum height $ H $. The ratio of the times at which the body is at a height of $ \frac{H}{2} $ is:

Two photons of energies 2.5 eV and 5.5 eV incident on a metal surface of work function 1.5 eV. The ratio of the maximum speeds of the photoelectrons emitted from the metal surface is:

The work done in blowing a soap bubble of volume $ V $ is $ W $. The work done in blowing the bubble of volume $ 2V $ from the same soap solution is?

The magnetizing field which produces a magnetic flux of $22 \times 10^{-6} \, \text{Wb}$ in a metal bar of area of cross-section $2 \times 10^{-5} \, m^2$ is (susceptibility of the metal = 699):