List of top Questions asked in AP EAPCET

If \( \alpha, \beta, \gamma \) are the roots of the equation \[ x^3 + px^2 + qx + r = 0, \] then \[ (\alpha + \beta)(\beta + \gamma)(\gamma + \alpha) =\ ? \]

Benzyl amine can be prepared from which of the following reactions?

If \( f : \mathbb{R} \to A \), defined by \( f(x) = \cos x + \sqrt{3}\sin x - 1 \), is an onto function, then \( A = \)

Let \( g(x) = 1 + x - \lfloor x \rfloor \) and \[ f(x) = \begin{cases} -1, & x<0\\ 0, & x = 0 \\ 1, & x>0 \end{cases} \] where \( \lfloor x \rfloor \) denotes the greatest integer less than or equal to \( x \). Then for all \( x \), \( f(g(x)) = \)

A value of \( \theta \) lying between \( 0 \) and \( \dfrac{\pi}{2} \) and satisfying \[ \begin{vmatrix} 1 + \sin^2 \theta & \cos^2 \theta & 4\sin 4\theta \\ \sin^2 \theta & 1 + \cos^2 \theta & 4\sin 4\theta \\ \sin^2 \theta & \cos^2 \theta & 1 + 4\sin 4\theta \end{vmatrix} = 0 \] is:

Which of the following represents nucleoside of RNA?

What are the major products X and Y respectively in the following set of reactions?

What are X and Y respectively in the following set of reactions?

The structures of succinic acid (X) and malonic acid (Y), respectively, are:

Observe the following (Products = .........):
P₄ + SOCl₂ → Products
P₄ + SO₂Cl₂ → Products
In both the reactions, a common product 'X' is obtained. The number of lone pair of electrons on the central atom of 'X' is:

The IUPAC name of the complex shown below is:
K₃[Co(COₓ)₃]

Which one of the statements regarding X is not correct?
3-Hydroxybutanoic acid → 3-Hydroxypentanoic acid → X X is:

Identify the essential amino acids from the following:
A) Leucine
B) Tyrosine
C) Cysteine
D) Histidine

What is the approximate molality of 10% (w/w) aqueous glucose solution? (Molar mass of glucose = 180 g mol\(^{-1}\))

The van't Hoff factor for 0.5 m aqueous CH₃COOH solution is 1.075. What is the experimentally observed \(\Delta T_f\) (in K) for this solution? \( K_f = 1.86 \, \text{K kg mol}^{-1} \)

The following graph is obtained for a first-order reaction (A → P). The activation energy (E\(_a\) in kJ/mol\(^{-1}\)) and heat of reaction (ΔH in kJ/mol\(^{-1}\)) for this reaction are respectively