List of top Questions asked in TS EAMCET- 2025

If $f(x) = \log_{(x-1)^2}(x^2-3x+2)$, $x \in \mathbb{R}-[1,2]$ and $x\neq0$, then $f'(3)=$

If \( \lim_{x \to 0} \frac{3x^3 - (1-x^2)^{3/2}}{x^2\sin x} = p + \log q \) then pq =

The volume of water required to dissolve 0.1 g PbCl\(_2\) to get a saturated solution (in mL) is (Given K\(_{sp}\)(PbCl\(_2\)) = \(3.2 \times 10^{-8}\); Atomic mass of Pb = 207u)

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 PAB = area of triangle PAC is

If \( \cos\theta + \sin\theta = \sqrt{2}\cos\theta \) and \( 0<\theta<\frac{\pi}{2} \), then \( \sec(2\theta) + \tan(2\theta) = \)

A student has to answer a multiple-choice question having 5 alternatives in which two or more than two alternatives are correct. Then the number of ways in which the student can answer that question is

All possible words (with or without meaning) that contain the word 'GENTLE' are formed using all the letters of the word 'INTELLIGENCE'. Then the number of words in which the word 'GENTLE' appears among the first nine positions only is

If $\omega \neq 1$ is a cube root of unity, then one root among the $7^{th}$ roots of $(1+\omega)$ is

If $\cos\alpha = \frac{l\cos\beta+m}{l+m\cos\beta}$, then $\frac{\tan^2(\alpha/2)}{\tan^2(\beta/2)} =$

Given diagram shows a pair of homologous chromosomes during meiosis. Maximum crossing over will occur between genes

What are X and Y in the following reaction sequence?
$C_6H_5N_2Cl \xrightarrow[H_2O]{283K} X \xrightarrow[OH^-]{C_6H_5N_2Cl} Y$

In a triangle ABC, if $\vec{BC}=\hat{i}-2\hat{j}+2\hat{k}$ and $\vec{CA}=6\hat{i}+3\hat{j}-2\hat{k}$, then the perimeter of the triangle is

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 position of the elements shown in figure, the value of \((Z_2 - Z_1)\) is

An alcohol X($C_5H_{12}O$) undergoes dehydration when passed over copper at 573 K. X can be prepared from which of the following reactants?

Z forms 2,4-dinitrophenylhydrazone and gives yellow ppt with NaOH + $I_2$. What are X and Y?

Which of the following sets of reagents are required for the conversion of ethyl bromide to propanoic acid?

Two reactions I and II are given below:

Correct statement regarding the reactions is

Consider the following statements
Statement - I : Natural rubber is a polymer of 2-chloro-1, 3-butadiene
Statement - II : 1, 3-Butadiene-styrene copolymer is synthetic rubber
The correct answer is

Observe the following reaction:
$CH_3(CH_2)_{11}C_6H_5 \xrightarrow[(ii) NaOH(aq)]{(i) H_2SO_4} X$
Which of the statements is not correct regarding X?

Arrange the given ligands $H_2O (A), NCS^- (B), OH^- (C), N^{3-} (D)$ in the order of increasing field strength.

Which of the following change is not correct about the oxidizing property of $KMnO_4$ in acidic medium?

Which of the following saccharides contain $\beta$-D-glucose units?

An alcohol X($C_4H_{10}O$) is converted to corresponding chloride Y by shaking it with conc. HCl at room temperature. Reaction of Y with Mg in dry ether and then with water gave Z. What are Y and Z?

For a first order reaction ($R \rightarrow P$), a plot of $\ln \frac{[R]_0}{[R]}$ on y-axis and time on x-axis gave a straight line passing through the origin. The slope of straight line is 'x'. The rate constant of this reaction is

Observe the following colloids:
I. Gold
II. Detergent
III. Starch
IV. Soap
V. Synthetic rubber
VI. Sulphur
VII. Cellulose
The number of multimolecular colloids and macromolecular colloids in the above list is respectively