List of top Questions asked in TS EAMCET- 2024

The sum of the maximum and minimum values of the function \[ f(x) = \frac{x^2 - x + 1}{x^2 + x + 1} \] is:
If \( f(x) = ax^2 + bx + c \) is an even function and \( g(x) = px^3 + qx^2 + rx \) is an odd function, and if \( h(x) = f(x) + g(x) \) and \( h(-2) = 0 \), then \( 8p + 4q + 2r = \)?
If \(\frac{x^2}{2x^2 + 7x + 6} = \frac{Ax + B}{x^2 + a} + \frac{Cx + D}{ax^2 + 3}\), then \(A + B + C - 2D =\)
Given \((\sin \theta - \csc \theta)^2 + (\cos \theta + \sec \theta)^2 = 5\) and \(\theta\) lies in the third quadrant, find \((\sin \theta + \cos \theta)^3\).
In the reaction: \[ NH_2CONH_2 + 2H_2O \rightarrow [X] \rightleftharpoons 2NH_3 + H_2O + [Y] \] The hybridization of carbon in \( X \) and \( Y \) respectively are:
The efficiency of a reversible heat engine working between two temperatures is 50\%. The coefficient of performance of a refrigerator working between the same two temperatures but in reverse direction is:
The speed of a transverse wave in a stretched string 'A' is 'v'. Another string 'B' of same length and same radius is subjected to same tension. If the density of the material of the string 'B' is 2\% more than that of 'A', then the speed of the transverse wave in string 'B' is
If a ray of light passes through an equilateral prism such that the angle of incidence and the angle of emergence are both equal to 70\% of the angle of the prism, then the angle of minimum deviation is:
At room temperature, gaseous hydrogen is bombarded with a beam of electrons of 13.6 eV energy. The series to which the emitted spectral line belongs to:
The half-life of a radioactive substance is 12 minutes. The time gap between 28\% decay and 82\% decay of the radioactive substance is:
An element consists of a mixture of three isotopes A, B, and C of masses \( m_1 \), \( m_2 \), and \( m_3 \) respectively. If the relative abundances of the three isotopes A, B, and C is in the ratio 2:3:5, the average mass of the element is:
The concentration of electrons in an intrinsic semiconductor is \( 6 \times 10^{15} \, m^{-3} \). On doping with an impurity, the electron concentration increases to \( 4 \times 10^{22} \, m^{-3} \). In thermal equilibrium, the concentration of the holes in the doped semiconductor is:
The density of a substance of mass 5.318 g which occupies a volume of 2.43 cm³ is (up to correct significant figures):
A cannon fires two similar shells one after the other each with a velocity of 100 m/s at angles 60$^\circ$ and 30$^\circ$ respectively with the horizontal such that they both hit the target at the same time. The time interval between the firing of the two shells is (Acceleration due to gravity = 10 m/s²).
An arc making an angle \(15^\circ\) at the center is removed from a ring of mass \( M \) and radius \( R \). The moment of inertia of the remaining ring about an axis passing through its center and perpendicular to its plane is:
Two spherical rain drops of radii in the ratio 4:5 are falling vertically through air. The ratio of the terminal velocities of the rain drops is:
A liquid drop of diameter 2 mm breaks into 125 identical drops, then the change in the surface energy is:
Which of the following is correct statement?
In which of the following options, the IUPAC name is not correctly matched with the structure of the compound?
The heights of the transmitting and receiving antennas are 33.8 m and 64.8 m respectively. The maximum distance between the antennas for satisfactory communication in line of sight mode is:
(Radius of the earth = 6400 km)
Which one of the following corresponds to the wavelength of line spectrum of H atom in its Balmer series? (R = Rydberg constant)
If the tension applied to a string is decreased by 36\%, then the fundamental frequency of the transverse waves of the string is:
Two identical balls having like charges placed at a certain distance apart, repel each other with a force \( F \). When they are brought in contact and then moved apart to a distance equal to half of their initial separation, the force of repulsion between them becomes \( 4.5F \). The ratio of the initial charges of the balls is:
Two statements are given below: I. Sodium hexametaphosphate is used in calgon method for removal of permanent hardness of water II. Lithium forms interstitial hydrides Identify the correct answer
A supposition without assuming that it is true is: