List of top Questions asked in AP EAPCET- 2022

The English alphabets have 5 vowels and 21 consonants. How many words with two different vowels and two different consonants can be formed from the alphabet?

If \[ a^2+b^2+c^2=1,\quad a,b,c\in \mathbb{R}, \] then the set of extreme values of \(ab+bc+ca\) is

If \(\alpha,\beta\) are the roots of \[ ax^2+bx+c=0, \] then the quadratic equation whose roots are \(\sqrt{5}\alpha,\sqrt{5}\beta\) is

The values of \(\theta\), for which \[ \frac{3+2i\sin\theta}{1-2i\sin\theta} \] is real are

Let \(z\) and \(w\) be two distinct non-zero complex numbers. If \[ |z|^2w-|w|^2z=z-w, \] then

If \(1,\omega,\omega^2\) denote the cube roots of unity, then the value of \[ (1-\omega+\omega^2)^5+(1+\omega-\omega^2)^5 \] is

If \[ A= \begin{bmatrix} 1 & -2 & 2 \\ 2 & -6 & 5 \\ 5 & 0 & 4 \end{bmatrix}, \] then \(\operatorname{Adj}(A)=\)

The rank of the matrix \[ A= \begin{bmatrix} 2 & 1 & 2 \\ 1 & 0 & 1 \\ 4 & 1 & 4 \end{bmatrix} \] is

Let \[ A= \begin{bmatrix} b^2+c^2 & a^2 & a^2 \\ b^2 & c^2+a^2 & b^2 \\ c^2 & c^2 & a^2+b^2 \end{bmatrix} \] If \[ a=\sin\frac{\pi}{6},\quad b=\cos\frac{\pi}{4},\quad c=\cot\frac{\pi}{2}, \] then \(A\) is

If a matrix \(A\) satisfies the equation \[ A^3-6A^2+11A-6I=0, \] then \(A^{-1}\) can be

If \[ \frac{(1+i)x-2i}{3+i}+\frac{(2-3i)y}{3-i}=i, \] then \(x+y=\)

If \(f\) is a relation from the set of positive real numbers to the set of positive real numbers defined by \[ f(x)=3x^2-2, \] then \(f\) is

Let \(f:\mathbb{R}\to \mathbb{R}\) be defined by \(f(x)=2x+3\). If \(\alpha,\beta\) are the roots of the equation \[ f(x^2)-2f\left(\frac{x}{2}\right)-1=0 \] then \(\alpha^2+\beta^2=\)

Identify the correct trend of acidic strength for the given alcohols

Identify \(P\) and \(Q\) respectively of the following reaction

Identify the major product from the following reaction sequence:

Which of the following can undergo disproportion reaction on heating with conc. alkali?

Identify the major product formed from the following reaction:

The IUPAC name of the following complex is
\[ [Co(NH_2CH_2CH_2NH_2)_2Br_2]Br \]

\(S_N1\) reactions are generally carried out in which type of solvents?

The outer electronic configuration of \(\mathrm{Pd}\) is

Which of the following is not an RNA?

Hydrolysis of which disaccharide in presence of enzyme maltase gives glucose only?

If the rate of disappearance of \(\mathrm{N_2O_5}\) in the following reaction is \(1.2\times10^{-5}\ \mathrm{mol\ L^{-1}\ s^{-1}}\), the rate of production of \(\mathrm{NO_2}\) in \(\mathrm{mol\ L^{-1}\ s^{-1}}\) is
\[ 2\mathrm{N_2O_5}(g)\rightarrow 4\mathrm{NO_2}(g)+\mathrm{O_2}(g) \]

Which of the following is Indian saltpetre?