List of top Questions asked in JEE Main

For 8^2x - 16.8^x + 48 = 0, the sum of values of x is equal to:

Let f(x) = cosx - x + 1, x ∈ [0,π], then

A=\(\begin{bmatrix}   2 & -1 \\   1 & 1  \end{bmatrix}\)if sum of diagonal elements of A¹³ is 3ⁿ then n equal to:

R = (a, b) : a + 5b = 42 and a, b ∈ N has m elements and \(\sum\limits_{n=1}^{m}(1+i^{n!})\) = x + iy (where i = √-1). Find x + y + m.

if \(y=\int\frac{e^{\tan x}dx}{\cos^2x(1+e^{2\tan x})}\) and y(0)=6 then y\(\frac{\pi}{4}\) is equal to

Let,\(f(\theta)=\frac{sin^4\theta+3cos^2\theta}{sin^4\theta+cos^2\theta},\)then range of f(θ) ∈ [a, b]. The sum of infinite G.P., where first term is 64 and common ratio is a/b is equal to:

3 blue balls and 4 yellow balls are in a box. 3 balls are drawn at random. Let variance and mean be X & Y respectively then value of 3X + 4Y is:

Figure shows two charges q₁ and –q₂ placed on the x-axis as shown. If electric field at p is along x-direction, find \(\frac{q_1}{q_2}\)

A disk of mass M, radius R is rotating about an axis passing through its centre and perpendicular to its plane with angular speed ω. If another disk of mass \(\frac{M}{2}\) and radius R is gently placed over it what will be their common angular velocity after some time?

In a given AC circuit consisting of a resistor R and an inductor L and source emf, two voltmeter V₁ & V₂ are connected as shown. If V₂ = 36 volts then inductance of inductor is (Resistance R is √91Ω.)

A block of mass 5 kg is released as shown in the figure. Surface CD is rough with = 0.5, rest of all the surfaces are smooth. Find the maximum compression in the spring (initially spring is in its natural length.)

Find ratio of magnetic field at point P to that at point Q. Point P is inside the solid cylinder and Q is outside the cylinder. Current is uniform through the crosssection of cylinder.

In a YDSE shown a monochromatic light of wavelength 500 nm is incident. At point P, 10th maxima is formed. Now the two slits are replaced with a single slit of width w placed at the centre. If first diffraction minima is observed at P, find w.

Consider the given reaction:
Cr₂O₇^2- ⥨ CrO₄^2-
Above reaction shifts in forward direction in

If de- Broglie wavelength of electron is equal to de- Broglie wavelength of proton, then what is the relation between their kinetic energy

Consider the following compound:

What is the IUPAC nomenclature of the compound?

The total number of compounds having Bond order 2 among the following are: F₂, N₂, Ne₂, O₂, Li₂, Be₂, C₂

Which of the following are aromatic compounds?

Which of the following is correct?

S-I: Blood is a buffer solution, whose pH is maintained at 7.4 by an acidic buffer. 
S-II: pH is maintained by HCO₃^-  and   H₂CO₃

In the test for phosphorus using ammonium molybdate, yellow precipitate of compound (X) is obtained. What is the oxidation state of molybdenum in (X)?

How many carbon atoms are there in a molecule of tyrosine?

Number of 5 letters words made from the word “MATHEMATICS” is equal to

,Then the sum of elements of 10th row.

Two points (5, 2) and (2, a). Line passes through these points makes an angle of π/4 at origin. The product of all values of a is equal to