List of top Questions asked in JKCET- 2016

The sulphur compound in which the sulphur atom has octet configuration in its valence shell among the following is

The atom of largest size among the following is

If $ X=\left\{-2, -1, 0, 1,2,3, 4, 5, 6, 7, 8\right\} $ and $ A=\left\{x : \left|x-2\right|\le3, x \, is\,an\, integer\right\}, $ then $ X-A= $

Let $ A(a, 0) $ , $ B(0, b) $ and $ C (1, 1) $ be three points. If $ \frac{1}{a}+\frac{1}{b}=1 $ , then the three points are

If $ y=tan^{-1}\left(\frac{2x}{1+3x^{2}}\right)+tan^{-1}\left(\frac{5+x}{1-5x}\right) $ , then $ \frac{dy}{dx}= $

The coefficient of $ x^{2} $ in the expansion of $ (1 + x + x^{2} + x^{3})^{10} $ is

The value of $ \displaystyle\lim_{x\to\infty} \left(\frac{x+5}{x+2}\right)^{x} $ is equal to

The mean of $ 100 $ items was $ 60 $ . Later it was found that two items were misread as $ 69 $ and $ 96 $ instead of $ 66 $ and $ 99 $ respectively. The correct mean of the $ 100 $ items is

A normal to the curve $ 2x^{2 }- y^{2} = 14 $ at the point $ (x_{1}, y_{1}) $ is parallel to the straight line $ x + 3y = 4 $ . Then the point $ (x_{1}, y_{1}) $ is

Let the function $ f(x) $ be continuous in the interval $ [a, b] $ and differentiable in $ (a, b) $ . Then there is at least one point $ c $ in $ (a, b) $ at which the tangent to the curve $ y = f (x) $ is parallel to

The value of integral \(\int{e^x}(\frac{cosx+sinx}{cos^2x})dx\)

When $ y = vx $ , $ y $ and $ x $ are variables, the differential equation $ \frac{dy}{dx}=\frac{2xy}{x^{2}-y^{2}} $ reduces to

Let $ P\left(x\right)=^{10}C_{x} \left(\frac{1}{2}\right)^{10} , x=0, 1, 2, \ldots,10 $ be the probability mass function of a binomial distribution $ X $ . Then the mean of $ X $ is

If tan $ y=\frac{sin\,x+cos\,x}{cos\,x-sin\,x} $ , then $ \frac{dy}{dx}= $

The function $ f (x) = |x-10| $ , $ x $ is real number, is

The standard (reduction) electrode potentials for metal-metal ion $ (M/M^{2+}) $ electrodes $ P, Q, R $ and $ S $ are respectively $ -0.44 \, V, +0.34\, V, -0.76\,V $ and $ -0.25 \, V $ The increasing order of their reducing capacities is

A particle moves with a uniform speed $ v $ and time period $ T $ in a circular path of radius $ r $ . If the speed of the particle is doubled, its new time period is

The increasing order of reactivity in the $ S_{N}{2} $ hydrolysis of the following alkylbromides is (1) $tert$-Butyl bromide (2) Methyl bromide (3) $sec$-Butyl bromide (4) $ n $ - Propyl bromide

Which one of the following hydrogen halides has the least bond dissociation enthalpy?

The alkaline earth metal sulphate which is most soluble in water among the following is

The correct order of increasing stabilities for the following carbocations is (1) allyl carbocation (2) neopentyl carbocation (3) benzyl carbocation (4) isobutyl carbocation

The optically inactive compound among the following is

Which of the following oxyacids of sulphur has $ S-O-S $ linkage in its structure?