List of top Questions asked in JKCET

If $ \theta =\frac{\pi }{{{2}^{n}}+1}, $ then the value of $ {{2}^{n}}\cos \theta \,\cos \,2\theta \,\cos \,{{2}^{2}}\theta .....\cos {{2}^{n-1}}\theta $ is

$ \underset{x\to 0}{\mathop{\lim }}\,\,{{\left\{ \tan \left( \frac{\pi }{4}+x \right) \right\}}^{1/x}} $ is equal to

Using the principal values, the value of $ {{\sin }^{-1}}\left\{ \sin \frac{5\pi }{6} \right\}+{{\tan }^{-1}}\left\{ \tan \frac{\pi }{6} \right\} $ = ?

A bag contains $50$ tickets numbered $1, 2, 3, ...,50$ of which five are drawn at random and arranged in ascending order of magnitude $ ({{x}_{1}}

If $ {{S}_{n}} $ denotes the sum of first $n$ terms of $A.P.$ $ , $ such that $ \frac{{{S}_{m}}}{{{S}_{n}}}=\frac{{{m}^{2}}}{{{n}^{2}}}, $ then $ \frac{{{a}_{m}}}{{{a}_{n}}} $ is equal to

The value of $ \frac{d}{dx}[{{x}^{n}}\,{{\log }_{a}}\,x{{e}^{x}}] $ is

Unpolarized light falls on two polarizing sheets placed one on top of other. If the intensity of transmitted light is one fourth of the incident light, the angle between them is

According to collision theory of chemical reactions rates of the reaction increase with increase in the temperature of a reaction because of

When an object is placed $40\,cm $ from a diverging lens, its virtual image is formed $20\,cm$ from the lens. The focal length and power of lens are

Specify the coordination number of cobalt in $\left[ Co ( CN )\left( H _{2} O \right)( en )_{2}\right]^{2+}$

What will be the freezing point of $1\%$ solution of glucose in water, given that molal depression constant for water is $ 1.84\,K\, mol^{-1}$

Which type of isomerism is exhibited by $\left[ Pt \left( NH _{3}\right)_{2} Cl _{2}\right]$ ?

When a solution of sodium hydroxide is added to acetic acid solution, the conductivity of the resulting solution will

Which of the following species has a trigonal planar shape?

Which of the following is least reactive to nitration?

The most stable oxidation state of lanthanides is

The induced emf in a coil of $10$ Henry inductance in which current varies from $9\,A $ to $4\,A$ in $0.2$,second is

Which of the following is not the postulate of the kinetic theory of gases?

The displacement, velocity and acceleration in a simple harmonic motion are related as the

Polonium has a half-life of $140$ days. If we take $20\,g$ of polonium initially then the amount of it that remains after $280$ days is

The alternating current in a circuit is given by $ I=50\,\sin \,314\,t $ . The peak value and frequency of the current are

The power $(P)$ of an engine lifting a mass of $ 100\,kg$ up to a height of $ 10\,m $ in $ 1\,\min $ is

The transverse nature of electromagnetic waves is proved by which of the following?

Which of the following is an ore of zinc?

Which of the following groups is ortho and para directing?