List of top Questions asked in Andhra Pradesh Engi Agriculture & Pharmacy CET- 2025

If force \( F = \frac{\alpha}{\beta} \), then the dimensional formulae of \( \alpha \) and \( \beta \) are respectively:

If the breaking strength of a rope is $\frac{4}{3}$ times the weight of a person, then the maximum acceleration with which the person can safely climb up the rope is (g - acceleration due to gravity)

Identify the compound which is least reactive towards nucleophilic substitution reactions.

In an element with atomic number (Z) 25, the number of electrons with (n + l) value equal to 3 and 4 are x and y respectively. The value of (x + y) is

Match the following:

List - I	List - II
A) Morphine	IV) Pain killer
B) Cannabinoids	V) Dopamine
C) Cocaine	I) Cardiovascular system
D) Benzodiazepines	II) Tranquilizers

If \( f : \mathbb{R} \to \mathbb{R} \) and \( g : \mathbb{R} \to \mathbb{R} \) are two functions defined by \( f(x) = 2x - 3 \) and \( g(x) = 5x^2 - 2 \), then the least value of the function \((g \circ f)(x)\) is:

If the incentre of the triangle formed by lines $$ x - 2 = 0, \quad x + y - 1 = 0, \quad x - y + 3 = 0 $$ is $ (\alpha, \beta) $, then find $ \beta $.

The number of all five-letter words (with or without meaning) having at least one repeated letter that can be formed by using the letters of the word INCONVENIENCE is:

The general solution of the differential equation $\left( x \sin \frac{y}{x} \right) \frac{dy}{dx} = y \sin \frac{y}{x} - x$ is
Identify the correct option from the following:

If $ x - y - 3 = 0 $ is a normal drawn through the point $ (5, 2) $ to the parabola $ y^2 = 4x $, then the slope of the other normal that can be drawn through the same point to the parabola is?

In space, the electric potential varies as $V = 20|r|$ volt, where $\vec{r} = x\hat{i} + y\hat{j} + z\hat{k}$ is the position vector. Then electric field in (N/C) at the point (4 m, 3 m, -5 m) is

The elastic potential energy stored in a copper rod of length one meter and area of cross-section \(1 \, \text{mm}^2\) when stretched by 1 mm is:

If $ r_1 $ and $ r_2 $ are radii of two circles touching all the four circles $$ (x \pm r)^2 + (y \pm r)^2 = r^2, $$ then find the value of $$ \frac{r_1 + r_2}{r}. $$

The differential equation corresponding to the family of parabolas whose axis is along $x = 1$ is
Identify the correct option from the following:

The domain and range of a real valued function \( f(x) = \cos (x-3) \) are respectively.

If the line $$ 4x - 3y + 7 = 0 $$ touches the circle $$ x^2 + y^2 - 6x + 4y - 12 = 0 $$ at $ (\alpha, \beta) $, then find $ \alpha + 2\beta $.