List of top Questions asked in JEE Main

A ratio of the 5th term from the beginning to the 5th term from the end in the binomial expansion of \(\left(2^{1/3} + \frac{1}{2(3)^{1/3}}\right)^{10}\) is :

Let \(P(4, -4)\) and \(Q(9, 6)\) be two points on the parabola, \(y^2 = 4x\) and let \(x\) be any point on the arc \(POQ\) of this parabola, where \(O\) is the vertex of this parabola, such that the area of \(\Delta PXQ\) is maximum. Then this maximum area (in sq. units) is :

The product of three consecutive terms of a G.P. is 512. If 4 is added to each of the first and the second of these terms, the three terms now form an A.P. Then the sum of the original three terms of the given G.P. is :

Let \(y = y(x)\) be the solution of the differential equation, \(x\frac{dy}{dx} + y = x\log_e x,\ (x > 1)\). If \(2y(2) = \log_e 4 - 1\), then \(y(e)\) is equal to :

The higher concentration of which gas in air can cause stiffness of flower buds?

The hydride that is NOT electron deficient :

Among the colloids cheese (C), milk (M), and smoke (S), the correct combination of the dispersed phase and dispersion medium, respectively is :

The correct match between Item I and Item II is :

Item I		Item II
(A)	Allosteric effect	(P)	Molecule binding to the active site of enzyme
(B)	Competitive inhibitor	(Q)	Molecule crucial for communication in the body
(C)	Receptor	(R)	Molecule binding to a site other than the active site of enzyme
(D)	Poison	(S)	Molecule binding to the enzyme covalently

The homopolymer formed from 4-hydroxy-butanoic acid is :

Taj Mahal is being slowly disfigured and discoloured. This is primarily due to :

Match the following items in column I with the corresponding items in column II.

Item I		Item II
(i)	Na2CO3.10H2O	(A)	Portland cement ingredient
(ii)	Mg(HCO3)2	(B)	Castner-Kellner process
(iii)	NaOH	(C)	Solvay process
(iv)	Ca3Al2O6	(D)	Temporary hardness

The relative stability of +1 oxidation state of group 13 elements follows the order :

The reaction that does NOT define calcination is :

For the equilibrium, \(2\mathrm{H_2O} \rightleftharpoons \mathrm{H_3O^+} + \mathrm{OH^-}\), the value of \(\Delta G^\circ\) at 298 K is approximately :

The major product obtained in the following conversion is

The correct option with respect to the Pauling electronegativity values of the element is :

The de Broglie wavelength (\(\lambda\)) associated with a photoelectron varies with the frequency (\(\nu\)) of the incident radiation as, [\(\nu_0\) is threshold frequency] :

25 ml of the given HCl solution requires 30 mL of 0.1 M sodium carbonate solution. What is the volume of this HCl solution required to titrate 30 mL of 0.2 M aqueous NaOH solutions ?

The correct match between Item I and Item II is :

Item I		Item II
(A)	Ester test	(P)	Tyr
(B)	Carbylamine test	(Q)	Asp
(C)	Phthalein dye test	(R)	Ser
		(S)	Lys

The reaction \(2\mathrm{X} \rightarrow \mathrm{B}\) is a zeroth order reaction. If the initial concentration of X is 0.2 M, the half-life is 6 h. When the initial concentration of X is 0.5 M, the time required to reach its final concentration of 0.2 M will be:

The standard reaction Gibbs energy for a chemical reaction at an absolute temperature T is given by \(\Delta_rG^{o} = A - BT\)
Where A and B are non-zero constants. Which of the following is TRUE about this reaction?

A compound 'X' on treatment with \(\mathrm{Br_2/NaOH}\), provided \(\mathrm{C_3H_9N}\), which gives positive carbylamine test. Compound 'X' is :

In the following compound,

the favourable site/s for protonation is/are :

Which of the following compounds reacts with ethylmagnesium bromide and also decolourizes bromine water solution:

\(A \xrightarrow{4KOH,\ O_2} \underset{(\mathrm{Green})}{2B} + 2H_2O\)
\(3B \xrightarrow{4HCl} \underset{(\mathrm{Purple})}{2C} + MnO_2 + 2H_2O\)
\(2C \xrightarrow{H_2O.KI} \underset{(\mathrm{Purple})}{2A} + 2KOH + D\)
In the above sequence of reactions, A and D, respectively, are :