List of top Questions asked in AP EAMCET- 2024

The number of 5-digit odd numbers greater than 40,000 that can be formed by using 3, 4, 5, 6, 7, 0 such that at least one of its digits must be repeated is:

A car is moving on a horizontal curved road of radius 50 m. If the friction coefficient between tyres and road is 0.34, the approximate maximum speed of the car will be nearly:

Tropolone is an example for which of the following class of compounds?

The solution of the differential equation $$ (x + 2y^3) \frac{dy}{dx} = y $$ is:

If $f(x) = \begin{cases} 2x + 3, & \text{if } x \leq 1 \\ 2ax + bx, & \text{if } x > 1 \end{cases}$ is differentiable $\forall x \in \mathbb{R}$, then $f(2) =$

If $f(x) = \begin{cases} ax^2 + bx - \frac{13}{8}, & x \le 1 \\ 3x - 3, & 1<x \le 2 \\ bx^3 + 1, & x>2 \end{cases}$is differentiable $\forall x \in \mathbb{R}$, then $ a - b = $

The equation of the pair of asymptotes of the hyperbola $ 4x^2 - 9y^2 - 24x - 36y - 36 = 0 $ is:

As shown in the figure, a surface encloses an electric dipole with charges $ \pm6 \times 10^{-6} \, {C} $. The total electric flux through the closed surface is:

Which of the following is NOT a unit of permeability?

The number of $ d $ electrons in Fe is equal to which of the following?
(i) Total number of $ s $-electrons of Mg
(ii) Total number of $ p $-electrons of Cl
(iii) Total number of $ p $-electrons of Ne

Determine the values of $a$ and $b$ for which the function $f(x)$ defined as: \[ f(x) = \begin{cases} 1 + |\sin x|^{\left(\frac{a}{|\sin x|}\right)} & \text{if } \frac{-\pi}{6} < x < 0, \\ b & \text{if } x = 0, \\ e^{\left(\frac{\tan 2x}{\tan 3x}\right)} & \text{if } 0 < x < \frac{\pi}{6} \end{cases} \] is continuous at $x = 0$.

The number of different ways of preparing a garland using 6 distinct white roses and 6 distinct red roses such that no two red roses come together is:

Which of the following solutions is used in the styptic action which prevents bleeding of blood?

Consider the system of linear equations: \[ x + 2y + z = -3, \] \[ 3x + 3y - 2z = -1, \] \[ 2x + 7y + 7z = -4. \] Determine the nature of its solutions.

The locus of the midpoint of the portion of the line $ x \cos \alpha + y \sin \alpha = p $ intercepted by the coordinate axes, where $ p $ is a constant, is:

If $a^2 x^4 + b^2 y^4 = c^6$, then the maximum value of $xy$ is:

X and Y are two circuits having coefficient of mutual inductance 3 mH and resistances 10 $ \Omega $ and 4 $ \Omega $ respectively. To have induced current 60 $ \times 10^{-4} \, {A} $ in circuit Y, the amount of current to be changed in circuit X in 0.02 sec is:

Evaluate the integral \[ \int \sum_{r=0}^{\infty} \frac{x^r 3^r}{2r} dx. \]

The number of ions present in tris(ethane-1,2-diamine)cobalt(III) sulphate is:

If $ x - 4 = 0 $ is the radical axis of two orthogonal circles out of which one is $ x^2 + y^2 = 36 $, then the centre of the other circle is:

The line $ 21x + 5y = k $ touches the hyperbola $ 7x^2 - 5y^2 = 232 $, then $ k $ is:

Evaluate $ \int_{1}^{2} \frac{x^4 - 1}{x^6 - 1} dx $: