List of top Questions asked in AP EAPCET- 2026

The number of different nine-digit numbers that can be formed by rearranging all the digits of the number $223355888$ so that odd digits always occupy even positions is
If all the letters of the word RANKS are permutated in all possible ways and the words (with or without meaning) thus formed are arranged in dictionary order, then the rank of the word RANKS is
If \[ \frac{x}{(x^2+1)^2(x-1)} = \frac{Ax+B}{x^2+1} + \frac{Cx+D}{(x^2+1)^2} + \frac{E}{x-1}, \] then \[ A+B-C+2D= \]
The value of $n$ for which the sum \[ \frac{{}^nC_0}{2^n} + 2\frac{{}^nC_1}{2^n} + 3\frac{{}^nC_2}{2^n} +\cdots+ (n+1)\frac{{}^nC_n}{2^n} =16 \] is
In the binomial expansion of $(x+a)^{15}$, if the eleventh term is the geometric mean of the eighth and twelfth terms, then the numerically greatest term in its expansion is
A student is allowed to select at most $n$ books from a collection of $2n+1$ books. If the total number of ways in which he can select at least one book is $255$, then the value of $n$ is
If $\alpha,\beta,\gamma$ are the roots of \[ x^3-10x^2+7x+8=0, \] match List-I with List-II and choose the correct option.
If the roots of the equation \[ x^3-px^2+qx-s=0 \] are in geometric progression, then
If $\alpha \neq \beta$ and $\alpha^2=5\alpha-3,\ \beta^2=5\beta-3$, then the equation whose roots are $\dfrac{\alpha}{\beta}$ and $\dfrac{\beta}{\alpha}$ is
If \[ y= \begin{vmatrix} \sin x & \cos x & \sin x\\ \cos x & -\sin x & \cos x\\ x & 1 & 1 \end{vmatrix}, \] then \[ \frac{dy}{dx}= \]
If \[ \frac{3}{2+\cos\theta+i\sin\theta}=x+iy, \] then \[ (x-1)(x-3)= \]
If $z_1,z_2$ are two roots of the equation \[ z^2+az+b=0 \] and on the Argand plane the points represented by $z_1,z_2$ and the origin form an equilateral triangle, then $a^2=$
If $\alpha,\beta$ are the roots of the equation \[ x^2-p(x+1)-c=0, \] then \[ \frac{\alpha^2+2\alpha+1}{\alpha^2+2\alpha+c} + \frac{\beta^2+2\beta+1}{\beta^2+2\beta+c} = \]
If \[ (1+\sin\alpha+i\cos\alpha)^8 = A(\cos\theta+i\sin\theta), \] then $A$ and $\theta$ are respectively
If $\alpha,\beta,\gamma$ are the roots of the equation $x^3+bx+c=0$, then \[ \begin{vmatrix} \alpha & \beta & \gamma\\ \beta & \gamma & \alpha\\ \gamma & \alpha & \beta \end{vmatrix} = \]
For a fixed positive integer $n$, if \[ D= \begin{vmatrix} n! & (n+1)! & (n+2)!\\ (n+1)! & (n+2)! & (n+3)!\\ (n+2)! & (n+3)! & (n+4)! \end{vmatrix}, \] then \[ \frac{D}{n!(n+1)!(n+2)!} = \]
Let $f$ be a function with domain $[0,7]$ and $g$ be a function defined by $g(x)=|2x+1|$. Then the domain of $(f\circ g)(x)$ is
If \[ \frac34+\frac{15}{16}+\frac{63}{64}+\cdots+n \text{ terms} =\frac{939}{256}, \] then $5n=$
A $\subseteq \mathbb{R}$ and $f:A \to \mathbb{R}$ is a function defined by $f(x)=\dfrac{x-1}{x+1}$. If the domain of the function $f(2x)$ is $B$, then $A \cap B =$

Which of the following transition elements exhibits the highest oxidation state? 
 

According to Werner's theory of coordination compounds, the secondary valency represents 

The coordination number of cobalt in $[\text{Co(NH}_3)_6]^{3+}$ is 

Which of the following is the strongest base in aqueous solution?
The reaction of an aldehyde with Tollens' reagent gives
Which of the following organic compounds will give Lucas test immediately?