List of top Questions asked in JKCET

A group of individuals, which are able to breed among themselves and produce their own kind, is known as
Which one of the following is not an autoimmune disease?
Which one of the following is not associated with the total internal reflection?
The following figure represents
Magnitudes of four pairs of displacement vectors are given. Which pair of displacement vectors, under vector addition, fails to give a resultant vector of magnitude $ 3\,cm $ ?
The $ 'd' $ orbital involved in the hybridisation in the $ PCl_{5} $ molecule is
Assuming earth to be an inertial frame, an example for inertial frame observer is
Which of the following cannot be speed-time graph ?
$ \int_{0}^{x}{\log \,(\cot \,x\,+\,\tan t)\,dt} $ =
Heater coil $A$ takes $t_1 $ second to boil certain quantity of water. Heater coil $B$ takes $t_2 $ second to boil same quantity of water. If $A$ and $B$ are connected in series, the time taken to boil the same quantity of water by the combination is
The sum of the series $ \left( 1+\frac{{{({{\log }_{e}}\,n)}^{2}}}{2!}+\frac{{{({{\log }_{e}}n)}^{4}}}{4!}+... \right) $ is
If $ {{\tan }^{-1}}\,2 $ and $ {{\tan }^{-1}}\,3 $ are two angles of a triangle, then the third angle is
The image of the point $ (6,3,9) $ in the straight line $ x-2=\frac{1-y}{2}=\frac{z}{2} $ is
The term independent of $x$ in the expansion of $ {{\left( \sqrt{\frac{x}{3}}+\frac{3}{2{{x}^{2}}} \right)}^{10}} $ is
The number of ways in which $5$ boys and $5$ girls can be seated for a photograph so that no two girls sit next to each other is
If $ {{x}_{1}},{{x}_{2}},......{{x}_{18}} $ are observations such, that $ \sum\limits_{j=1}^{18}{({{x}_{j}}-8)=9} $ and $ \sum\limits_{j=1}^{18}{{{({{x}_{j}}-8)}^{2}}=45,} $ then the standard deviation of these observations is
$ \frac{^{8}{{C}_{0}}}{6}{{-}^{8}}{{C}_{1}}{{+}^{8}}{{C}_{2}}\cdot 6{{-}^{8}}{{C}_{3}}{{.6}^{2}}+....{{+}^{8}}{{C}_{8}}{{\cdot 6}^{7}} $ is equal to
The number of solutions of the equation $ \sin \,x\,\,\cos \,\,3x=\sin \,3x\,\,\cos \,5x $ in $ \left[ 0,\frac{\pi }{2} \right] $ is
In $ \Delta \,\,ABC $ if $ si{{n}^{2}}A+si{{n}^{2}}B+si{{n}^{2}}C=2, $ then the triangle is
The value of $ {{\cos }^{-1}}\,\left( \sin \,\frac{7\pi }{6} \right) $ is equal to
If $ (3+i)\,(z+\bar{z})-(2+i)(z-\bar{z})+14i\,=0, $ then $ z\bar{z} $ is equal to
The point on the x-axis equidistant from the points $ (4,3,1) $ and $ (-2,\,-6,\,-2) $ is
If $\alpha$ and $\beta$ are roots of the quadratic equation $ {{x}^{2}}+4x+3=0, $ then the equation whose roots are $ 2\alpha \,\text{+}\,\beta $ and $ \alpha \,\text{+2}\,\beta $ is
The number of diagonals of a polygon of $20$ sides is
If the third term of a $G.P.$ is $3$, then the product of its first $5$ terms is