List of top Questions asked in AP EAPCET

If a real-valued function \( f : [-1, 2] \to B \) is defined by: \[ f(x) = \begin{cases} 1 - x, & \text{when } -1 \leq x \leq 1 \\ x - 1, & \text{when } 1 < x \leq 2 \end{cases} \] and if \( f \) is a surjection, then \( B = ? \)

Let \( f : \mathbb{N} \to \mathbb{N} \) be a function such that \( f(x + y) = f(x) + f(y) + xy \) for every \( x, y \in \mathbb{N} \). If \( f(1) = 2 \), then \( \sum\limits_{k=0}^{10} f(k) \) is equal to:

Consider the following
Assertion (A): Dipole moment of NF\(_3\) is lesser than NH\(_3\)
Reason (R): In NF\(_3\), the orbital dipole due to lone pair of electrons is in the opposite direction to the resultant dipole moment of the three N-F bonds.
The correct answer is:

An unpolarised beam of light incidents on a group of three polarising sheets arranged such that the angle between the axes of any two adjacent sheets is $30^\circ$. The ratio of the intensities of polarised light emerging from the second and third sheets is

The general solution of the differential equation \[ \frac{dy}{dx} = \frac{2x^2 - xy - y^2}{x^2 - y^2} \]

Evaluate the integral: \[ \int \frac{\sin x + \cos x}{\sin x - \cos x} \, dx =\ ? \]

Evaluate the integral: \[ \int_0^{\pi} \frac{x \sin x}{\sin^2 x + 2\cos^2 x} \, dx \]

Evaluate the limit: \[ \lim_{n \to \infty} \left( \frac{1}{1^2 + n^2} + \frac{2}{2^2 + n^2} + \frac{3}{3^2 + n^2} + \cdots + \frac{n}{n^2 + n^2} \right) \]

If \[ \int \frac{1}{\cot \frac{x}{2} \cot \frac{x}{3} \cot \frac{x}{6}} \, dx = A \log \left| \cos \frac{x}{2} \right| + B \log \left| \cos \frac{x}{3} \right| + C \log \left| \cos \frac{x}{6} \right| + k, \] then \(A + B + C =\)

If \( \cosh 2x = 199 \), then \( \cot hx = \)

In a \( \triangle ABC \), \( A - B = 120^\circ \), \( R = 8r \), then \[ \frac{1 + \cos C}{1 - \cos C} =\ ? \]

The minimum value of \( |z - 1| + |z - 5| \) is:

If \( z = x + iy \) and if the point \( P \) in the Argand diagram represents \( z \), then the locus of the point \( P \) satisfying the equation \( 2|z - 2 - 3i| = 3|z + i - 2| \) is a circle with centre:

Which of the following represents Gattermann reaction?

The incorrect statement about the product ‘Z’ in the given reaction sequence is

What is the end product 'R' in the reaction sequence?

What is the major product Y in the following reaction sequence?

A halide with formula C₆H₁₃Br gave two isomeric alkenes A and B on dehydrobromination. On ozonolysis of mixture of A and B the following compounds were obtained: CH₃COCH₃, CH₃CHO, CH₃CH₂CHO and (CH₃)₂CHCHO. The halide is:

The correct statement regarding the mechanism involved in the above reactions is

Match the following:

List-I (reaction)	List-II (catalyst)
A) SO₂(g) + Cl₂(g) → SO₂Cl₂(l)	I) Pt / Rh gauge
B) 2SO₂(g) + O₂(g) → 2SO₃(g)	IV) V₂O₅
C) 4HCl + O₂ → 2Cl₂ + 2H₂O	II) CuCl₂
D) 4NH₃(g) + 5O₂(g) → 4NO(g) + 6H₂O(g)	III) Charcoal

Identify the correct statements from the following:
I) In adsorption process, both enthalpy and entropy decrease.
II) In general, physisorption is an irreversible process.
III) The catalyst used in the decomposition of potassium chlorate is manganese dioxide.

When 3 amp current was passed through an aqueous solution of salt of a metal M (atomic weight 106.4 u) for 1 hour, 2.977 g of Mⁿ⁺ was deposited at cathode. The value of n is (1 F = 96500 C mol^-1)

What are X and Y respectively in the following set of reactions?
2-Bromobutane $\xrightarrow{{alc. KOH}}$ C$_4$H$_8$ (major)
C$_4$H$_8$ $\xrightarrow{{KMnO}_4/{H}^+}$ X
C$_4$H$_8$ $\xrightarrow{{Baeyer's reagent}}$ Y

Which of the following metals is used for measuring high temperatures?

Match the following:

List - I (Metal)		List - II (Flame colour)
A)	Li	I)	Crimson red
B)	Na	II)	Yellow
C)	Ca	III)	Brick red
D)	Ba	IV)	Apple green

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