List of top Questions asked in WBJEE

The sum of n terms of two AP's are in the ratio of $(3n+8):(7n+15)$. Find the ratio of their ${12}^{\text{th }}$ terms.

$\sqrt{4},\sqrt[4]{4},\sqrt[8]{4},\sqrt[16]{4},\dots \dots \dots$up to ∞ are roots of the equation

If a point P is equidistant from A(1, 3), B(-3, 5) and C(5, -1), then PA is equal to

The shortest distance from the point (1, 2, -1) to the surface of the sphere x² + y² + z² = 54 is

If $\sin \theta =\frac{2t}{1+t^2}$ and $\theta$ lies in the second quadrant, then $\cos \theta$ is equal to

Evaluate the integral: ${\int }_1^2\log xdx$

The correct statement(s) about following sugars (X) and (Y) is/are:

Consider the following species $(\mathrm{I}){\mathrm{S}}_4{\mathrm{O}}_6^{2-}$$(\mathrm{II}){\mathrm{S}}_3{\mathrm{O}}_9$$(\mathrm{III}){\mathrm{S}}_2{\mathrm{O}}_5^{2-}$$(\mathrm{IV}){\mathrm{P}}_3{\mathrm{O}}_9^{3-}$Which of the above species have same number of $X-0-X$ linkages? $(X=P\text{ or }S)$

Q in the above sequence of reactions is

Blackened oil painting can be restored into original form by the action of:

Which one of the following observations is not true when a mixture of KCl, K2Cr2O7 and conc. H2SO4 is warmed carefully?

The addition of HBr to 2-pentene gives

Consider the following diagram and mark the correct answer.

Directions: The following question has four choices, out of which one or more are correct.When photons of energy 4.25 eV strike the surface of a metal $A$, the ejected photoelectrons have minimum kinetic energy $T_A$ expressed in eV and de Broglie wavelength ${\lambda }_A.$ The maximum kinetic energy ofphotoelectrons liberated from another metal $B$ by photons of energy 4.70 eV is $T_B=(T_A-1.50eV)$. If the de Broglie wavelength of these photoelectrons is ${\lambda }_B=2{\lambda }_A$, then

If $A=\left(\begin{array}{cc}3& x-1\\ 2x+3& x+2\end{array}\right)$ is a symmetric matrix, then the value of $x$ is

If $\omega (\ne 1)$ is a cube root of unity and ${(1+{\omega }^2)}^n={(1+{\omega }^4)}^n,$ then the leastpositive value of $n$ is

If $\overrightarrow{A}=\hat{i}+2\overrightarrow{j}+3\hat{k},\overrightarrow{B}=-\hat{i}+2\hat{j}+\hat{k},\overrightarrow{C}=3\hat{i}+j$ and $\overrightarrow{A}+1\overrightarrow{B}$ is perpendicular to $\overrightarrow{\mathrm{C}},$ thent is equal to

If a particle moves in such a way that the displacement is proportional to the square of the velocity acquired, then its acceleration is

If A1, A2; G1, G2; and H1, H2 are two AMs, GMs and HMs between two quantities, then the value of $\frac{G_1{G}_2}{H_1{H}_2}$ is

0.066 g of a metal was deposited when a current of 2 ampere passed for 100 seconds through an aqueous solution of its metal ion. The equivalent mass of the metal is-

The energy of electron in 1st orbit of Hydrogen atom is –2.18 × 10^-18 Joule. The third ionisation energy of Li⁺² ion is

The following reaction is an example of