List of top Questions asked in AP EAPCET

If four dice are thrown simultaneously, then the probability that none of the dice shows the number 1 on its face, is:
How many of the following are neutral oxides?
CO, NO, Na\(_2\)O, N\(_2\)O, Cl\(_2\)O\(_7\), Al\(_2\)O\(_3\), As\(_2\)O\(_3\)
Evaluate the integral: \[ \int_0^1 \left( \sqrt{10} \right)^{2x} \, dx \]
Evaluate the following integral: \[ \int (x^3 + x^2 m + x^m) (2x^{2m} + 3x^m + 6x^m) \, dx \]
Let \( f(x) = |x| \) and \( g(x) = |x| + a \), \( (a>0) \). For \( 0 \le x \le b \), \( \{(x, y) / g(x) \le y \le f(x)\} \) represents all the points in the interior of
Which one of the following functions is discontinuous at $x=1$?
If \( \alpha \) and \( \beta \) are the roots of the equation \( x^2 + x + 1 = 0 \), then the quadratic equation whose roots are \( \alpha^{2023} \) and \( \beta^{2012} \) is
A car is moving along a circular path having coefficient of friction 0.5 and radius of curvature 16.2 m. Then the maximum velocity of the car that can travel without falling outwards is (Acceleration due to gravity = 10 ms\(^{-2} \))
Let \( S = \{ z \in \mathbb{C} : |z - 1 + i| = 1 \} \) represents:
Among the following organic halides in the increasing order of their dehydrohalogenation reactions in the presence of alcoholic KOH
dehydrohalogenation reactions
If \( r_1 \) and \( r_2 \) are the angles of refraction at the first face and second face of a prism, then the angle of the prism is:
The time required (in hours) to reduce 3 mol of \( Fe^{3+} \) ions to \( Fe^{2+} \) ions with 2.0 amperes of current is (1 F = 96500 C mol\(^{-1} \))
A body is thrown vertically upwards with an initial velocity \( u \). If \( g \) is the acceleration due to gravity, then the total time taken for the body to return to the starting point is:
A stone thrown with velocity \( u \) at angles \( \theta \) and \( (90^\circ - \theta) \) with the horizontal reaches maximum heights \( H_1 \) and \( H_2 \) respectively. Its horizontal range is
If \( A = \begin{bmatrix} 1 & 0 & 1 \\ 0 & 1 & 1 \\ 0 & 1 & 0 \end{bmatrix} \), then \( A^{-1} \) = ?
Which of the following is not the property of covalent substances?
Inside a charged hollow sphere, at any point the electric field \( E \) and potential \( V \) are:
A liquid of density 800 kg/m$^3$ is used instead of mercury in the Torricelli barometer. What is the height of the liquid column if atmospheric pressure is 76 cm of Hg? (Density of mercury = $13.6 \times 10^3$ kg/m$^3$)
If $ X $ is a random variable with the probability distribution \[ P(X = k) = \frac{(k+1)c}{2^k}, \quad k = 0, 1, 2, ..., \] then $ P(X \geq 3) $ is:
The vapors of 1 g of an element occupy 2.5625 L exerting a pressure of 0.5 atm at 1000 K. What is the molar mass (in $\text{g mol}^{-1}$) of the element? (Assume vapors follow ideal gas equation. Given $R = 0.082 \text{ L atm mol}^{-1} \text{K}^{-1}$)
The condition that the lines joining the origin to the points of intersection of the line \( \frac{x}{a} + \frac{y}{b} = 2 \) and the circle \( (x - a)^2 + (y - b)^2 = r^2 \) are at right angles is:
Which one of the following is not correct regarding diamond?
In \(\triangle ABC\), if \(a, b, c\) are in arithmetic progression and \(C = 2A\), then \(a : c = \)
\(\displaystyle \int_{0}^{\pi} \frac{\cos x}{\sqrt{1 - \sin^2 x}} \, dx =\)
A reverse biased zener diode when operated in the breakdown region works as