List of top Questions asked in AP EAMCET- 2024

Two persons A and B throw three unbiased dice one after the other. If A gets the sum 13, then the probability that B gets a higher sum is:
Two of the products formed by the reaction of \(X\) with HCl are gases. What is \(X\)? HCl with \(X\) forms gaseous products, two of which are identified.
Let \( f(x) = \begin{cases 1 + \frac{2x}{a}, & 0 \le x \le 1
ax, & 1<x \le 2 \end{cases} \). If \( \lim_{x \to 1} f(x) \) exists, then the sum of the cubes of the possible values of \( a \) is: }

What are X and Z in the following reaction sequence? 

 

A conducting rod of length \( l \) and mass \( m \) is placed over a smooth horizontal plane. A magnetic field \( B \) is acting perpendicular to the rod. If a charge \( q \) is suddenly passed through the rod and the rod acquires an initial velocity \( v \) on the plane surface, then the charge \( q \) is:
The centripetal acceleration of a particle in uniform circular motion is \( 18 \, {ms}^{-2} \). If the radius of the circular path is \( 50 \) cm, the change in velocity of the particle in a time of \( \frac{T}{18} \) is:
The rate of emission of radiation of a black body at 27°C is \(E_1\). If the temperature increased to 327°C the emission is \(E_2\), then \(E_2\) is:
The smallest positive value (in degrees) of \( \theta \) for which \( \tan(\theta + 100^\circ) = \tan(\theta + 50^\circ) \tan(\theta - 50^\circ) \) is valid, is:

Match List I with List II and select the correct answer. 


 

If \( \alpha \) and \( \beta \) are two distinct negative roots of the equation \( x^5 - 5x^3 + 5x^2 - 1 = 0 \), then the equation of least degree with integer coefficients having \( \sqrt{-\alpha} \) and \( \sqrt{-\beta} \) as its roots is:
Two mercury drops, each with same radius \( r \), merged to form a bigger drop. If \( T \) is the surface tension of mercury, then the surface energy of the bigger drop is given by
What are \( X \) and \( Y \) respectively in the following reaction sequence? \begin{center} \includegraphics[]{139.png} \end{center}

Match the following bond enthalpies with their respective bonds: 

If \( |\mathbf{\bar{f}}| = 10\), \( |\mathbf{\bar{g}}| = 14\) and \( |\mathbf{\bar{f}} - \mathbf{\bar{g}}| = 15\), then \( |\mathbf{\bar{f}} + \mathbf{\bar{g}}| =\)
If \(I_{n}=\int_{0}^{\pi/4}\tan^{n}x~dx,\) then \(I_{13}+I_{11}=\)
If \( A = \begin{bmatrix} 2 & 3 \\ 1 & k \end{bmatrix} \) is a singular matrix, then the quadratic equation having the roots \( k \) and \( \frac{1}{k} \) is:
Polymers that can be softened on heating and hardened on cooling are called
If the eleventh term in the binomial expansion of \( (x + a)^n \) is the geometric mean of the eighth and twelfth terms, then the greatest term in the expansion is:
Two objects having masses in \(1:4\) ratio are at rest. When both of them are subjected to the same force separately, they achieved the same kinetic energy during times \(t_1\) and \(t_2\) respectively. The ratio of \(\frac{t_2}{t_1}\) is
One bar magnet is in simple harmonic motion with time period \( T \) in an earth’s magnetic field. If its mass is increased by 9 times, the time period becomes:
Two blocks of equal masses are tied with a light string passing over a massless pulley (Assuming frictionless surfaces). The acceleration of the centre of mass of the two blocks is (Given \( g = 10 \, \text{m/s}^2 \)):
Two blocks of equal masses are tied
Identify B in the given reaction sequence:
phenylacetonitrile
tan 9$^\circ$ - tan 27$^\circ$ - tan 63$^\circ$ + tan 81$^\circ$ =
The speed of a projectile at its maximum height is \( \frac{\sqrt{3}}{2} \) times its initial speed. If the range of the projectile is \( n \) times the maximum height attained by it, then \( n \) is equal to:
Evaluate the integral: $$ \int \frac{x^3 \tan^{-1}(x^4)}{1 + x^8} \,dx. $$