List of top Questions asked in KCET

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 one which decreases with dilution is
The characteristic not related to alkali metal is
The ore that is concentrated by Froth Floatation process is
In electrophillic aromatic substitution reaction, the nitro group is meta directing because it
A covalent molecule $AB_3$ has pyramidal structure. The number of lone pair and bond pair electrons in the molecule are respectively
If $'n '$ is a positive integer, then $n^3 + 2n$ is divisible by
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
In an experiment demonstrating the evolution of oxygen in Hydrilla, Sodium bicarbonate is added to water in the experimental set-up. What would happen if all other conditions are favourable ?
A convex lens made of glass has focal length $0.15\, m$ in air. If the refractive index of glass is $3/2$, and that of water is $4/3$ the focal length of lens when immersed in water is
A dorsal horn is present on the___________of mulberry silk worm (caterpillar).
A RBC and a plant cell (with thick cell wall) are placed in distilled water. The solute concentration is the same in both the cells . What changes would be observed in them
For the constructive interference the path difference between the two interfering waves must be equal to
A beam of light of wavelength 600 nm from a distant source falls on a single slit I mm wide and the resulting diffraction-pattern is observed on a screen 2m away. The distance between the first dark fringes on either side of the central bright fringe is
An organic compound on heating with $CuO$ produces $CO_2$, but no water. The organic compound may be
A door of $1.6\, m$ wide requires a force of $1 \,N$ to be applied at the free end to open or close it. The force that is required at a point $0.4\, m$ distant from the hinges for opening or closing the door is
A cow is tied to a post by a rope. The cow moves along the circular path always keeping the rope tight. If it describes $44\, metres$, when it has traced out $72^\circ$ at the centre, the length of the rope is
The complex number $\frac {1+2i}{1-i}$ lies in
For the parabola $y^2 = 4x$, the point $P$ whose focal distance is $17$, is
The area bounded between the parabola $y^2= 4x$ and the line $y = 2x - 4$ is equal to
Nosema bombycis which causes pebrine in silk worms is a
The number of subgroups of the group $(Z_5, +_5)$is
Most of the endangered species are the victims of