List of top Questions asked in AP EAPCET- 2022

The value of \[ {}^{34}C_5+\sum_{i=0}^{4}{}^{38-i}C_4 \] is

The number of solutions of the equations \[ x+y+z=12,\quad x^2+y^2+z^2=50,\quad x^3+y^3+z^3=216 \] is

Let \(a_n,a_{n-1},\ldots,a_1,a_0\in \mathbb{C}\) and \[ f(x)=a_nx^n+a_{n-1}x^{n-1}+\cdots+a_1x+a_0 \] is a polynomial. If the polynomial \(f(x)\) is monic, then

Number of four digit numbers that can be formed using all the digits except zero such that every number has exactly \(2\) distinct digits in it is

The largest interval containing \(x\) for which \[ x^{12}-x^9+x^4-x+1\gt 0 \] is

The number of distinct solutions of the equation \[ x^{11}-x^7+x^4-1=0 \] is

If \(f(x)=ax^2+bx+c\) satisfies \[ f(1)+2f(2)=0 \] and \[ 2f(1)+f(2)=0, \] then \(3a+b=\)

If \[ A= \begin{bmatrix} 1 & 1 & 3\\ 1 & 7 & 9\\ 2 & 3 & 7 \end{bmatrix} \] then \[ \mathrm{Tr}(A^2-A)= \] is equal to:

If \[ (x+iy)=\left(\frac{1+i}{1-i}\right)^3-\left(\frac{1-i}{1+i}\right)^3, \] then the true statement among the following is:

If \[ z=\cos\theta+i\sin\theta \] then \[ z^r+(\overline{z})^r= \] is equal to:

The number of complex numbers \(z\) satisfying \[ \overline{z}=iz^2 \] is

If \[ A=\begin{bmatrix} 3 & 4\\ 5 & 6 \end{bmatrix} \] and \[ B=\begin{bmatrix} x & 0\\ 0 & y \end{bmatrix}, \quad x,y\in \mathbb{N}, \] then:

If \(A\) and \(B\) are symmetric matrices of same order such that \[ AB+BA=X \] and \[ AB-BA=Y, \] then \((XY)^T=\)

If the ranks of the matrices \[ A= \begin{bmatrix} 1 & 0 & 1\\ 2 & 1 & 2\\ 1 & 0 & -1 \end{bmatrix} \] and \[ B= \begin{bmatrix} 1 & 2 & 3 & 4\\ 2 & 4 & 6 & -8 \end{bmatrix} \] are \(r_1\) and \(r_2\) respectively, then \(r_1-r_2=\)

Let \(f\) be a function defined by \[ f(xy)=\frac{f(x)}{y} \] for all positive real numbers \(x\) and \(y\). If \(f(30)=20\), then \(f(40)=\)

Let \(f:\mathbb{R}\to\mathbb{R}\) be defined by \[ f(x)=5^{x^4+2} \] Then:

Identify the major product from the following reaction sequence:

Gabriel phthalimide synthesis is used for the preparation of which of the following?

Identify the major product formed from the following reaction sequence

On electrolysis of aqueous solution of sodium butanoate gives a hydrocarbon. The number of carbon atoms present in the hydrocarbon are:

The rate for \(S_N1\) reaction will be faster for which of the following bromides?

Assertion (A): I-Bromopentane reacts with \(AgCN\) to give pentyl isocyanide.
Reason (R): \(AgCN\) is mainly ionic in nature.

What is the functional group present in serine, an amino acid, in addition to \(-NH_2\) and \(-COOH\) groups?

Curdling of milk is caused due to the formation of which of the following acids by the bacteria?

Calculated magnetic moment value for \(\mathrm{Fe}^{2+}\) ion in BM is: