List of top Questions asked in AP ECET- 2018

The sum of the four digit even numbers that can be formed with the digits 0,3,5,4 with out repetition is

To which group and period does the element belong if the electronic configuration of an element in its $-2$ oxidation state is $1s^{2} 2s^{2} 2p^{6} 3s^{2} 3p^{6}$ ?

Thermal decomposition of $HCOOH$ is a first order reaction and the rate constant at T(K) is $4.606 \times 10^{-3}\, s^{-1}$. The time required to decompose $90\%$ of initial quantity of $HCOOH$ at $T(K)$ in seconds is

A point charge $q$ is placed at origin. Let $E _{A^{\prime}} E _{B}$ and $E _{C}$ be the electric fields at three points $A$ $(1,2,3), B(1,1,-1)$ and $C(2,2,2)$ respectively due to the charge $q$. Then, the relation between them is 1. $E _{A} \perp E _{B}$ 2. $E _{A} \| E _{C}$ 3. $\left| E _{B}\right|=4\left| E _{c}\right|$ 4. $\left| E _{B}\right|=8\left| E _{c}\right|$

If $f: R \rightarrow[-1,1]$ and $g: R \rightarrow A$ are two surjective mappings and $\sin \left(g(x)-\frac{\pi}{3}\right)=\frac{f(x)}{2} \sqrt{4-f^{2}(x)}$, then $A=$

Option : No Option Orientation : Vertical If the angle between the tangents drawn to the circle $x^2 + y^2 -12 x - 16y = 0$ at the points w here the line $5y = 5x + k$ cut the circle is $60^{\circ}$ , then the value of $k$ is

If $A = \begin{bmatrix}k/2&0&0\\ 0&1/3&0\\ 0&0&m/4\end{bmatrix} $ and $A^{-1} = \begin{bmatrix}1/2&0&0\\ 0&1/3&0\\ 0&0&1/4\end{bmatrix}$ then $ k + l + m = $

A random variable X has the following probability distribution The variance of this random variable is

For the matrix $A = \begin{pmatrix}3&-3&4\\ 2&-3&4\\ 0&-1&1\end{pmatrix}, A^{-1} = $