List of top Questions asked in AP EAPCET- 2022

If \( A \) and \( B \) are two independent events such that \( P(A) = 0.3 \), \( P(B) = x \), and \( P(A \cup B) = 0.44 \), then \( x = \):
During the winter months, in a certain village in Scotland, the probability of a day having severe fog is 0.6. The probability that in a given week there will be exactly two days with severe fog is
Evaluate: $$ \int \frac{dx}{(x - 3)^{4/5} (x + 1)^{6/5}} = ? $$
For any two nonzero real numbers $a$ and $b$, if the line $\dfrac{x}{a} + \dfrac{y}{b} = 1$ is a tangent to the circle $x^2 + y^2 = 1$, then which of the following is true?
There are 10 points in a plane, out of which 6 are collinear. If $ N $ is the number of triangles that can be formed, then $ N = $ ?
The sum of the real roots of the equation: $$ x^4 - 2x^3 + x - 380 = 0 $$ is:
The maximum value of the variance of a Binomial distribution with parameters \( n \) and \( p \) is:
If variance of a Poisson distribution is 3, find: \[ P(1<X<4) \]
In any triangle $ ABC $, evaluate: $$ \frac{\cos A}{a} + \frac{\cos B}{b} + \frac{\cos C}{c} $$
If $$ ^{10}C_2 = ^{3^{n+1}}C_3 $$ then the value of $ n $ is:
Sides passing through vertex $ (\alpha, \beta) $ of a triangle are bisected at right angles by the lines: $$ y^2 - 8xy - ax^2 = 0 $$ Find the coordinates of the centroid of the triangle.
If $ a, b>0 $, then the minimum value of: $$ y = \frac{b^2}{a - x} + \frac{a^2}{x},\quad \text{for } 0<x<a $$
Find the distance between the directrices of the ellipse: \[ \frac{x^2}{36} + \frac{y^2}{20} = 1 \]
The pairs of straight lines \( 2x^2 + axy + 3y^2 = 0 \) and \( 2x^2 + bxy - 3y^2 = 0 \) share a common line, and the other lines are perpendicular. Then values of \( a \) and \( b \) are?
The pH of 0.01 N lime water is
The anions (A) of \( \text{C}_p\text{A}_q \) molecule form an fcc lattice. Cations (C) are positioned at the body center and half of the edge centers. The formula of the molecule is:
The major product of the following reaction is (Grignard Reagent with D2}O)
Grignard Reagent with D2O
Which of the following reactions takes places when tertiary butanol passed over heated copper at 573 K ?
Given: \[ \text{CH}_3\text{COOC}_2\text{H}_5 + \text{H}_2\text{O} \rightarrow \text{CH}_3\text{COOH} + \text{C}_2\text{H}_5\text{OH} \] Initial concentrations: Ethyl acetate = 0.001 M, Water = 2 M 99% hydrolyzed in 10 s. Find rate constant \( k \).
The standard Gibbs energy ($\Delta G^\ominus$) for the following reaction is A(s) + B$^{2+}$ (aq) $\rightleftharpoons$ A$^{2+}$ (aq) + B(s), K$_c$=10$^{12}$ at 25$^\circ$C (K$_c$= equilibrium constant)
The general formula of the compound formed when a metal (M) of group - 1 reacts with non metal (x) of group - 16 is

Identify the major product from the following reaction sequence:

A cubic lattice has A atoms at the body center, B atoms at the corners, C atoms at half of the face centers. The formula of the lattice is
Carbohydrates are stored in plants and animals in which of the following forms respectively?
The standard molar enthalpy of vaporisation ($\Delta_{vap}H^\ominus$) of A, B and C liquids is 23.3, 41 and 29 kJ mol$^{-1}$ respectively. The correct order of dipole-dipole attractive forces in these liquids is