List of top Questions asked in AP EAPCET

The plants showing: hypogynous flower, valvate aestivation, and tricarpellary ovary are:

The number of ways of arranging 3 red, 2 white, and 4 blue flowers of different sizes into a garland such that no two blue flowers come together is:

A particle executes SHM with amplitude $ A $ and time period $ T $. The time taken to move from equilibrium to $ \frac{A}{2} $ is:

How many grams of calcium carbonate ($\mathrm{CaCO}_3$) are required to completely neutralize 200 mL of 0.5 M HCl? Given the reaction: $$ \mathrm{CaCO}_3 + 2 \mathrm{HCl} \rightarrow \mathrm{CaCl}_2 + \mathrm{H}_2 \mathrm{O} + \mathrm{CO}_2 $$ (Molar mass of $\mathrm{CaCO}_3 = 100 \, \text{g/mol}$)

The number of ways of selecting 3 numbers that are in Arithmetic Progression (A.P.) from the set $\{1, 2, 3, \ldots, 100\}$ is:

A car accelerates uniformly from rest to a speed of 20 m/s in 8 seconds. What is the distance covered by the car during this time?

Evaluate $ \lim_{x \to 2} \frac{x^2 - 4}{x - 2} $.

A current of 2 A is passed through molten CaCl$_2$ for 1930 seconds. What is the mass of calcium deposited at the cathode? (Ca molar mass = 40 g/mol, valency = 2, Faraday's constant = 96500 C/mol)

The general solution of the equation \[ 2\sin^2 \theta - \cos^2 \theta = \sin \theta \]

Let $z_1 = 3 + 4i$ and $z_2 = 1 - 2i$. Then the argument of $\frac{z_1}{z_2}$ is:

The mean of 6 numbers is 15, and the standard deviation is 2. If each number is increased by 5, what is the new standard deviation?

The sum of the first 10 terms of an arithmetic progression is 145, and the first term is 1. Find the common difference.

A block of mass 2 kg is placed on a rough inclined plane at 30° to the horizontal. The coefficient of static friction is 0.4. Will the block slide down?

A pipe closed at one end and open at the other resonates at a fundamental frequency of 340 Hz. If the speed of sound in air is 340 m/s, the length of the pipe is:

Calculate the boiling point of a solution containing 18 g of glucose (C$_6$H$12$O$_6$) in 100 g of water. (K₋b = 0.52°C·kg/mol, Molar mass of glucose = 180 g/mol)

A total charge $q$ is uniformly distributed over a circular ring of radius $R$. The ring is rotated about its axis with angular velocity $\omega$. Find the magnetic dipole moment of the ring.

A projectile is fired with an initial speed of 40 m/s at an angle of 30° with the horizontal. What is the maximum height it reaches?

A charged particle of mass $ m $ and charge $ q $ moves with a velocity $ \vec{v} $ perpendicular to a magnetic field $ \vec{B} $. The radius of the circular path it follows is:

If the arithmetic mean of the terms $a, a + d, a + 2d, ..... a + (2n)d$ is 35 and the sum of the series is 735, then the value of $n$ is:

If $ \sin \theta = \frac{3}{5} $ and $ \theta $ is in the first quadrant, find the value of $ \tan \theta $.

A coil of 100 turns and area 0.01 m² is placed perpendicular to a uniform magnetic field that increases uniformly from 0 to 0.2 T in 0.1 s. What is the magnitude of the induced EMF in the coil?

In a potentiometer experiment, a cell of emf 1.5 V gives a balance point at 75 cm. If the cell is replaced by another cell and the balance point is at 60 cm, the emf of the second cell is:

Calculate the molality of a solution prepared by dissolving 10 g of NaCl ($ M = 58.5 \, \text{g/mol} $) in 500 g of water:

Calculate the volume occupied by 4.4 g of CO$_2$ gas at 27°C and 1 atm pressure. ($ R = 0.0821 \, \text{L-atm/mol-K} $, Molar mass of CO$_2$ = 44 g/mol)

For a first-order reaction, the rate constant $ k $ is $ 1.386 \times 10^{-3} \, \text{s}^{-1} $. What is the half-life $ t_{1/2} $ of the reaction? (Use $ \ln 2 = 0.693 $)