List of top Questions asked in JEE Main

Three urn A, B, C, A has 7 red and 5 black balls, B has 5 red and 7 black balls, C has 6 red and 6 black balls. One urn is selected and black ball is taken out. Find probability that the selected urn is A.

Find the number of rational numbers in the expansion of \((2^{\frac{1}{5}} + 5^{\frac{1}{3}})^{15}\).

If \(f(x) =   \begin{cases}  x-2       & \quad 0\leq x\leq2\\     -2  & \quad -2\leq x\leq0   \end{cases}\) and \(h(x) = f(|x|) + |f(x)|, \int\limits^{k}_{0} h(x) dx\) is equal to _____.(k>0)

Among the following, species that have one unpaired electron:

Which of the following will not give Lassaigne's test?

Given below are two statements :
Statement-1: Aldol condensation is caused by acidity of a hydrogens.
Statement-2: Cross aldol is not possible between Ph-CHO and CH₃CHO
In the light of the above statements, choose the most appropriate answer from the options given below:

How many of the following compounds are sp³ hybridized

 \(\xrightarrow[Conc.HCL]{Zn-Hg}\) Product?

Which of the following is the correct order of first ionization enthalpy?

Among the following, decreasing order of basic strength will be:
OH^-, H^-, HCOO^-, CH₃COO^-, ^-OR
(I)     (II)    (III)         (IV)          (V)

For which of the following elements, only one oxidation state is possible?

If emf of hydrogen electrode at 25 ℃ is zero in pure water, then pressure of H₂ in bar is?

Which of the following has a maximum dipole moment?

Which of the following is the correct structure of L- Glucose

The equation of stationary wave is given as \(y=2A\sin(\frac{2\pi}{\lambda}\cdot nt) \cos (\frac{2\pi}{\lambda}\cdot x)\), then which of the following is not correct.

Consider the network shown:

The equivalent resistance of the network is

An electron is projected along the axis of solenoid which carries constant current i, the trajectory of electron shall be

A wooden block is initially at rest on a smooth surface. Now a horizontal force is applied on the block which increases linearly with time. The acceleration- time (a - t) graph for the block would be

On a given rough incline plane, a solid sphere and a hollow cylinder having the same radius are rolled one by one, with the same speed. Ratio of heights attained by solid sphere and hollow cylinder is

Position of particle located on x-axis changes with time (t) as x = 2.5t2.
Speed of the particle at t = 5 seconds is equal to?

The atomic masses of He and Ne are $4$ and $20$ a.m.u., respectively. The value of the de-Broglie wavelength of He gas at $-{73}^{\circ }C$ is "M" times that of the de-Broglie wavelength of $Ne$ at ${727}^{\circ }C.M$ is

The conductivity of $0.02\mathrm{N}$ solution of a cell of $\mathrm{KCl}$ at ${25}^{\circ }\mathrm{C}$ is $2.765\times {10}^{-3}S{\mathrm{cm}}^{-1}$. If the resistance of a cell containing this solution is $4\times {10}^3$ ohm, what will be the cell constant?

Body accelerates from rest to 4 m/s, energy is E. If it accelerates from rest to 24, then energy is nE. Find n.

If the system of linear equations $ 8 x+y+4 z=-2 $, $ x+y+z=0 $, $ \lambda x-3 y=\mu$ has infinitely many solutions, then the distance of the point $\left(\lambda, \mu,-\frac{1}{2}\right)$ from the plane $8 x + y +4 z +2=0$ is :

Let \(C\) be the centre of the circle \(x^2+y^2-x+2 y=\frac{11}{4}\) and \(P\) be a point on the circle A line passes through the point \(C\), makes an angle of \(\frac{\pi}{4}\) with the line CP and intersects the circle at the points \(Q\) and \(R\) Then the area of the triangle \(PQR\) (in unit \({ }^2\)) is :