List of top Questions asked in KCET, WBJEE

The angle between the lines joining the foci of an ellipse to one particular extremity of the minor axis is $90^{\circ}$ The eccentricity of the ellipse is
The colloidal solution in which both the dispersed phase and dispersion medium arc liquids called
If If $n =(2020)$, then $\frac {1}{\log_2n}+\frac {1}{\log_3n}+\frac {1}{\log_4n}+............+\frac {1}{\log_{2020} n}$
It is difficult to cook rice in an open vessel by boiling it at high altitudes because of
The current flowing through a wire depends on time as $I=3t^{2}+2t +5.$ The charge flowing through the cross section of the wire in time from $t = 0$ to $t = 2$ sec. is
Two identical cells each of emf $E$ and internal resistance $r$ are connected in parallel with an external resistance $R$. To get maximum power developed across $R$, the value of $R$ is
The value of $ \displaystyle\lim_{n\to\infty} \left[\frac{n}{n^{2}+1^{2}}+\frac{n}{n^{2}+2^{2}}+\ldots+\frac{1}{n^{2}+2n}\right] $ is
The modulus of $\frac{1-i}{3+i}+\frac{4i}{5}$ is
Two identical light waves, propagating in the same direction, have a phase difference $\delta$. After they superpose the intensity of the resulting wave will be proportional to
The half-life of a radioactive element is 10 hours. How much will be left after 4 hours in 1 g atom sample?
The condensation polymer among the following is
$5$ moles of $SO_2$ and $5$ moles of $O_2$ are allowed to react. At equilibrium, it was found that $60\% $ of $SO_2$ is used up. If the partial pressure of the equilibrium mixture is one atmosphere, the partial pressure of $O_2$, is
The greatest threat to genetic diversity in agricultural crops is
Which of the following is properly matched ?
Compare the statements A and B Statement A : Ranikhet disease is the disease of poultry. Statement B : It is caused by a virus. Select the correct description.
If$\vec{a}+2\vec{b}+3\vec{c}=\vec{0}$ then $\vec{a} \times \vec{b}+\vec{b} \times \,\vec{c}+\vec{c} \times \vec{a} $ =
If $A$ and $B$ are square matrices of the same order such that $(A + B) (A -B) = A^2-B^2$ then $(ABA^{-1} )^2=$
The negation of $p{\land}(q \to \sim r)$ is
The characteristic not related to alkali metal is
The ore that is concentrated by Froth Floatation process is
The one which decreases with dilution is
A covalent molecule $AB_3$ has pyramidal structure. The number of lone pair and bond pair electrons in the molecule are respectively
In electrophillic aromatic substitution reaction, the nitro group is meta directing because it
On the set of integers $Z$. define $f: Z \to Z$ as $ f(n) = \begin{cases} n/2 & \quad \text{if } n \text{ is even}\\ 0 & \quad \text{if } n \text{ is odd}\\ \end{cases} $ then $'f'$ is
If $'n '$ is a positive integer, then $n^3 + 2n$ is divisible by