List of top Questions asked in JKCET

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

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

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

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

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

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

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

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

The optically inactive compound among the following is

Which among the following polymers is non - biodegradable?

The kinetic energy of a particle executing simple harmonic motion is $ 1/6^{th} $ of its maximum value at a distance of $ 5 \,cm $ from its equilibrium position. The amplitude of its motion is

In a moving coil galvanometer, the coil having $ 500 $ turns and an average area of $ 4 \,cm^{2} $ carries a current of $ 0.1 \,A $ and is set parallel to a magnetic field with a torque of $ 0.15\, N \,m $ . The strength of the magnetic field is

The increasing order of basic strength for the following amines in aqueous phase is (1) aniline (2) triethylamine (3) ammonia (4) triphenylamine

If $ 25^{th} $ term of an $ A.P. $ is $ 15 $ and if its $ 15^{th} $ term is $ 25 $ , then the $ 40^{th} $ term of the $ A.P. $ is