List of top Questions asked in AP EAPCET

If $(\sqrt{3} - i)^n = 2^n$, $n \in \mathbb{N}$, then the least possible value of $n$ is
If the point $P$ denotes the complex number $z = x + iy$ in the Argand plane and $\frac{z - (2 - i)}{z + (1 + 2i)}$ is purely imaginary, then the locus of $P$ is
Consider two systems of 3 linear equations in 3 unknowns $AX = B$ and $CX = D$. If $AX = B$ has the unique solution $X = D$ and $CX = D$ has the unique solution $X = B$, then the solution of $(A - C^{-1})X = 0$ is
$f(x)$ is an $n^{th}$ degree polynomial satisfying $f(x) = \frac{1}{2}\left[f(x)f\left(\frac{1}{x}\right) + f\left(\frac{f(x)}{x}\right)\right]$. If $f(2) = 33$, then the value of $f(3)$ is
If $a$ is the determinant of the adjoint of the matrix $\begin{bmatrix} 1 & 1 & 2 \\ 1 & 2 & 3 \\ 2 & 3 & 3 \end{bmatrix}$ and $b$ is the determinant of the inverse of the matrix $\begin{bmatrix} 2 & 1 & 3 \\ 1 & -4 & -1 \\ 2 & 1 & 4 \end{bmatrix}$, then $\frac{b+1}{18b} = $
For all $n \in \mathbb{N}$, if $n(n^2+3)$ is divisible by $k$, then the maximum value of $k$ is
The domain of the function $f(x) = \ln\left(\frac{1}{\sqrt{x^2-4x+4}}\right) + \sin^{-1}(x^2-2)$ is

What are X and Y in the following reaction sequence?

Which one of the following halogen compounds is least reactive towards hydrolysis by S$_N$1 mechanism?

What is the ratio of sp$^3$ carbons to sp$^2$ carbons in the product 'P' of the given sequence of reactions?

The list given below contains essential amino acids that are basic (X) and also non-essential amino acids that are neutral (Y). X and Y, respectively are
a) Lysine
b) Alanine
c) Serine
d) Arginine
e) Tyrosine

The final product (C) in the given reaction sequence is

The artificial sweetener X contains glycosidic linkage and Y contains amide and ester linkages. X and Y respectively are

Arrange the following in decreasing order of electrophilicity of carbonyl carbon.

p-Chlorotoluene is the major product in which of the following reactions?

Which one of the following statements is not correct?

Match the following:
List-I (Glycosidic linkage) 
A. $\alpha$-1,4 
B. $\beta$-1,4 
C. $\alpha$-1,4, $\alpha$-1,6 
List-II (Polysaccharide) 
I. Amylose 
II. Amylopectin 
III. Cellulose

Consider the following:
Statement-I: Nylon 6 is a condensation copolymer.
Statement-II: Nylon 6,6 is a condensation polymer of adipic acid and tetramethylene diamine.
The correct answer is
The number of P=O and P-O-P bonds present in the oxoacid of phosphorus, prepared by treating red P$_4$ with alkali, are respectively

Match the following:
List-I (Process)
A. Hall-Heroult process
B. Mond process
C. Van-Arkel process
D. Zone refining process
List-II (Metal)
I. Ti
II. In
III. Al
IV. Ni

The co-ordination number of chromium in K[Cr(H$_2$O)$_2$(C$_2$O$_4$)$_2$] is
What is the indicator used in Argentometric titrations?
An aqueous solution containing 0.2 g of a non-volatile solute 'A' in 21.5 g of water freezes at 272.814 K. If the freezing point of water is 273.16 K, the molar mass (in g mol$^{-1}$) of solute A is [K$_f$(H$_2$O) = 1.86 K kg mol$^{-1}$]
In a Freundlich adsorption isotherm, if the slope is unity and k is 0.1, the extent of adsorption at 2 atm is (log 2 = 0.30)
An element occurs in the body-centred cubic structure with an edge length of 288 pm. The density of the element is 7.2 g cm$^{-3}$. The number of atoms present in 208 g of the element is nearly