List of top Questions asked in AP EAMCET- 2024

Given below are two statements:
Statement I: Viscosity of liquid decreases with an increase in temperature.
Statement II: The units of viscosity are kg m^-1 s^-2.

At 300 K, for the reaction A → P, the ∆Ssys is 5 J K^-1 mo^l-1. What is the heat absorbed (in kJ mol^-1) by the system?

Lithium forms an alloy with ‘X’. This alloy is used to make armor plates. What is ‘X’?

A polymer X is biodegradable and is obtained from the monomers Y, Z. What are Y and Z?

Chlorobenzene (X) when reacted with reagent ‘A’ gets converted to phenol (Y). The major product obtained from nitration of X gets converted to p-nitrophenol (Z) by reaction with reagent B. What are A and B respectively?

Match the following reactions with the product obtained from them:

What are X and Y respectively in the following reaction sequence?

Arrange the following in decreasing order of their acidity:

What are X and Y in the following set of reactions?

An alkyl halide $ C_3H_7Cl $, on reaction with a reagent X, gave the major product Y ($ C_4H_7N $). Y on hydrolysis released a gas, which turns red litmus to blue. What are X and Y?

The domain of the real valued function $ f(x) = \frac{1}{\sqrt{log_{0.5}(2x-3)}} + \sqrt{4 - 9x^2} $ is:

The system of equations $ x + 2y + 3z = 6 $, $ x + 3y + 5z = 9 $, $ 2x + 5y + az = 12 $ has no solution when $ a = $:

If a complex number $ z $ is such that $ \frac{z-2i}{z-2} $ and the locus of $ z $ is a closed curve, then the area of the region bounded by that closed curve and lying in the first quadrant is:

If $ \frac{1}{x^4 + 1} = \frac{Ax + B}{x^2 + \sqrt{2}x + 1} + \frac{Cx + D}{x^2 - \sqrt{2}x + 1} $, then $ BD - AC = $:

Statement (S1): $ \sin 55^\circ + \sin 53^\circ - \sin 19^\circ - \sin 17^\circ = \cos 2^\circ $
Statement (S2): The range of $ \frac{1}{3 - \cos 2x} $ is $ \left[ \frac{1}{4}, \frac{1}{2} \right] $ Which one of the following is correct?

In $\Delta ABC$ if $B = 90^\circ$ then $2(r + R) = $

In a triangle ABC, if $ (a-b)(s-c) = (b-c)(s-a) $, then $ r_1 + r_3 = $:

Let ABC be an equilateral triangle of side $a$. M and N are two points on the sides AB and AC respectively such that $AN = K \cdot AC$ and $AB = 3 \cdot AM$. If the vectors $BN$ and $CM$ are perpendicular, then $K = $ ?

Find the shortest distance between the skew lines $\vec{r} = (-\hat{i} - 2\hat{j} - 3\hat{k}) + t(3\hat{i} - 2\hat{j} - 2\hat{k})$ and $\vec{r} = (7\hat{i} + 4\hat{k}) + s(\hat{i} - 2\hat{j} + 2\hat{k})$.

If 7 different balls are distributed among 4 different boxes, then the probability that the first box contains 3 balls is:

Out of the first 5 consecutive natural numbers, if two different numbers x and y are chosen at random, then the probability that x⁴- y⁴is divisible by 5 is:

If two cards are drawn randomly from a pack of 52 playing cards, then the mean of the probability distribution of number of kings is:

If a tangent of slope 2 to the ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ touches the circle $x^2 + y^2 = 4$, then the maximum value of ab is:

$ \lim_{x \to 3} \frac{x^3 - 27}{x^2 - 9}. $

If \[ f(x) = \begin{cases} x^\alpha \sin \left(\frac{1}{x}\right), & x \neq 0 \\ 0, & x = 0 \end{cases} \] Which of the following is true?